Saddleback Math Covers
10/22/06
6:24 PM
Page 4
MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computati...

Author:
Kent Publishing

This content was uploaded by our users and we assume good faith they have the permission to share this book. If you own the copyright to this book and it is wrongfully on our website, we offer a simple DMCA procedure to remove your content from our site. Start by pressing the button below!

Saddleback Math Covers

10/22/06

6:24 PM

Page 4

MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 6

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

6

100 plus+ REPRODUCIBLE ACTIVITIES

MATH COMPUTATION SKILLS & STRATEGIES

LEVEL

6

ISBN 1-56254-969-3 Copyright © 2006 by Saddleback Educational Publishing. All rights reserved. No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system without written permission of the publisher, with the following exception. Pages labeled Saddleback Educational Publishing ©2006 are intended for reproduction. Saddleback Educational Publishing grants to individual purchasers of this book the right to make sufficient copies of reproducible pages for use by all students of a single teacher.This permission is limited to an individual teacher and does not apply to entire schools or school systems. Printed in the United States of America

Ta ble of Contents P a ge Lesson 5 . . . . . . . . . Introduction Unit 1 . . . 6 ......... 7 ......... 8 ......... 9 ......... 10 . . . . . . . . 11 . . . . . . . . 12 . . . . . . . . 13 . . . . . . . . 14 . . . . . . . . 15 . . . . . . . . 16 . . . . . . . . 17 . . . . . . . . 18 . . . . . . . . 19 . . . . . . . . 20 . . . . . . . . 21 . . . . . . . . 22 . . . . . . . . 23 . . . . . . . . 24 . . . . . . . . 25 . . . . . . . . 26 . . . . . . . . 27 . . . . . . . . 28 . . . . . . . . 29 . . . . . . . .

Numbers and Number Sense Write Roman Numerals Write Roman Numerals Identify Place Value Understand Integers Add and Subtract Integers Use Fractions and Mixed Numbers Find Equivalent Fractions Convert Decimals and Fractions Order Numbers Compare Numbers Round Numbers Estimate Answers Understand Percentages Find Percentages Convert Percents and Decimals Convert Percents and Fractions Understand Ratios Find Ratios Understand Exponents Use Exponents Solve Word Problems Solve Word Problems Review Number Sense Review Number Sense

Unit 2 . . . . Operations With Whole Numbers and Decimals 30 . . . . . . . . Fact Families 31 . . . . . . . . Properties of Addition 32 . . . . . . . . Regrouping in Addition 33 . . . . . . . . Check Addition 34 . . . . . . . . Add Three or More Addends 35 . . . . . . . . Add Up to Four Digits 36 . . . . . . . . Add Decimals 37 . . . . . . . . Add Up to Seven Digits 38 . . . . . . . . Add Greater Integers 39 . . . . . . . . Practice Addition 40 . . . . . . . . Practice Addition 41 . . . . . . . . Regrouping in Subtraction 42 . . . . . . . . Check Subtraction 43 . . . . . . . . Subtract Two or More Subtrahends 44 . . . . . . . . Subtract Up to Four Digits 45 . . . . . . . . Subtract Decimals 46 . . . . . . . . Subtract Up to Seven Digits 47 . . . . . . . . Subtract Integers 48 . . . . . . . . Practice Subtraction 49 . . . . . . . . Practice Subtraction 50 . . . . . . . . Solve Word Problems

51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82

........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........

Unit 3 . . . . 83 . . . . . . . . 84 . . . . . . . . 85 . . . . . . . . 86 . . . . . . . . 87 . . . . . . . . 88 . . . . . . . . 89 . . . . . . . . 90 . . . . . . . . 91 . . . . . . . . 92 . . . . . . . . 93 . . . . . . . . 94 . . . . . . . . 95 . . . . . . . . 96 . . . . . . . . 97 . . . . . . . . 98 . . . . . . . .

Solve Word Problems Review Addition and Subtraction Review Addition and Subtraction Find Multiples Find Factors Identify Prime and Composite Numbers Prime Factorization Practice Multiplication Facts Properties of Multiplication Check Multiplication and Division Multiply Up to Four Digits by One Digit Multiply Decimals Multiply Seven Digits by One Digit Multiply Integers Multiply Two Digits by Two Digits Multiply Up to Four Digits by Two Digits Multiply Decimals Multiply Up to Seven Digits by Two Digits Practice Division Facts Divide Two Digits by One Digit Divide Up to Four Digits by One Digit Divide With and Without Remainders Divide Decimals Divide Decimals by Decimals Divide Remainders into Decimals Divide by Two Digits Divide Up to Six Digits by Two Digits Divide Integers Solve Word Problems Solve Word Problems Review Multiplication and Division Review Multiplication and Division Operations With Fractions Adding With Like Denominators Adding With Unlike Denominators Subtracting With Like Denominators Subtractings With Unlike Denominators Positive and Negative Fractions Understand Multiplying Fractions Practice Multiplying Fractions Multiply Mixed Numbers Understand Dividing Fractions Practice Dividing Fractions Divide Mixed Numbers Positive and Negative Fractions Solve Word Problems Solve Word Problems Review Fractions Review Fractions

Ta ble of Contents Unit 4 . . . . 99 . . . . . . . . 100 . . . . . . . 101 . . . . . . . 102 . . . . . . . 103 . . . . . . .

Equations Use Order of Operations Write Equations Solve Equations Solve Inequalities Review Equations

Unit 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128

Geometry and Measure m e n t Convert Time Add and Subtract Time Find Temperature Convert Temperature Find Weight Convert Weights Convert Customary Lengths Convert Metric Lengths Solve Word Problems Solve Word Problems Name Lines Identify Angles Find Angles Understand Triangles Find Perimeter Find Circumference Find Areas of Triangles Find Areas of Parallelograms Find Areas of Circles Find Surface Areas Find Volumes Solve Word Problems Solve Word Problems Review Geometry Review Geometry

5 .... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... .......

Unit 129 130 131 132 133 134 135 136

6 .... ....... ....... ....... ....... ....... ....... ....... .......

P robability Find Averages Find Range, Mean, Median and Mode Understand Probability Understand Odds Review Review Review Review

137 138 139 140 141 142 143 144

....... ....... ....... ....... ....... ....... ....... .......

Scope and Sequence Answer Key Answer Key Answer Key Answer Key Answer Key Answer Key Answer Key

About This Series This series was created by Saddleback Educational Publishing to provide extensive math practice as a supplement to in-class instruction. Math Computation Skills and Strategies can easily be integrated into math curricula to reinforce basic skills.The lessons focus on practice, with up to 70 items a page. In addition, the lessons are designed to challenge students as their skills grow stronger. As the students progress through the individual lessons, the degree of difficulty increases. Closely adhering to state standards, this series provides grade-level appropriate lessons that are approachable for students at a range of abilities. Review lessons are interspersed throughout the book to allow students to reinforce their skills. Furthermore, the Scope and Sequence chart at the back of the book will help you choose lessons that are applicable to your curriculum.This series covers a range of topics, allowing students to build skills in multiple areas. Additionally, the lessons provide a variety of approaches, including word problems that emulate real-life situations. Each book is designed to challenge students who are learning skills at the corresponding grade level. However, the lessons were created not just for younger children, but for students of all ages. Saddleback Educational Publishing believes in allowing students to strengthen their skills with fun and exciting practice lessons.We hope you enjoy using this series to supplement class instruction and help students gain skills for proficiency in math computation.

Write Roman Numerals Roman numerals are often used for writing time increments, such as the hours on a clock face or the number names of years. I-1 II - 2 III - 3 IV - 4 V-5

VI - 6 VII - 7 VIII - 8 IX - 9 X - 10

Look at the Roman numerals for 4 and 9. 4 is written as if it read “1 before 5” 9 is written as if it read “1 before 10”

Directions: Write the Roman numerals for 11-19. a

b

c

1 . 11

14

17

2 . 12

15

18

3 . 13

16

19

Directions: 20 and 21 in Roman numerals are XX and XXI.Write each in Roman numerals. a

b

c

4 . 24

33

35

5 . 38

30

9

6 . 29

26

27

Directions: Write each in standard form. a

b

c

7. X

XV

XXIX

8 . VIII

XXXIV

XVI

9 . XXII

XX

XVII

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 6

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Roman Numerals Roman numerals look like the symbols we use for letters.

L - 50 C - 100 D - 500

M - 1000 IL - 59 LX - 60

CC - 200 DC - 600 MMM - 3000

Directions: Write each number in Roman numerals. a

b

1 . 200

2010

2 . 80

2100

3 . 500

2001

4 . 501

2110

5 . 2000

2011

6 . 60

96

7 . 800

390

8 . 3000

496

9 . 55

1096

10. 310

3506

Directions: Write each in standard form. a

b

11. CD

XLI

12. XC

XCV

13. LVI

CMIV

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 7

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Identify Place Va l u e The value of a digit depends on where it is within a number. Remember: zero is a placeholder. Directions: Write the place value of the 8 in each nu m b e r. a

b

1 . 840

28

2 . 27.8

830,952

3 . 1,803

2.08

4 . 3,400,280

45.800

5 . 6,000.38

308,459

6 . 8,554,000

627.118

7 . 1,080,420

62,711.8

8 . 108.0420

980,761

9 . 980.76

98.0761

10. 9807.6

0.980761

Directions: Write each number in standard form starting with the following value.

8,359,601.27 11. Add fifty 12. Subtract 3 million 13. Subtract 300,000 14. Add two hundredths 15. Subtract 5 hundreds Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 8

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Integers Numbers can be written many different ways.

standard word expanded place value

2,030.1 two thousand thirty and one tenth 2,000 + 30 + 0.1 2 thousands, 3 tens, and 1 tenth

Directions: Complete the chart . Standard

Word

Expanded

1.

40.08

forty and eight hundredths

40 + 0.08

2.

5,032

five thousand, thirty-two five hundred and thirty-two hundredths

3.

4.

Place Value

5 thousands, 3 tens, 2 ones 5 hundreds, 3 tenths, 2 hundredths

500 +0.3 +0.02

6 thousands, 4 hundreds, 1 ten, 7 ones

6,417

5.

three million, one thousand, seven

6.

825,090.4

7.

354.236

8.

800,000+20,000 + 5,000 + 90 + 0.4

two million, four hundred nine thousand, six hundred seventy and 2 hundredths

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3,000,000 +1,000 +7

Date 9

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dd and Subtract Integers Integers can be positive or negative numbers. Adding a negative number to a positive is like subtracting.The sum can be positive or negative, depending on which digit is greater. 4 + -3 = 1 -3 + 4 = 1 4 + -5 = -1 -5 + 4 = -1

Directions: Write P if the answer is positive or N if the answer is negative. a

b

c

1. 6 + 8 =

8–3=

-4 + 5 =

2 . -4 + -17 =

8 – -3 =

17 – -14 =

3 . -5 – -2 =

-6 – -2 =

-3 – -9 =

Directions: A dd or subtract. a

b

c

4. 6 + 8 =

8–3=

-4 + 5 =

5 . -4 + -17 =

8 – -3 =

17 – -14 =

6 . -5 – -2 =

-6 – -2 =

-3 – -9 =

7 . -17 + 19 =

-91 + -24 =

-36 + -24 =

8 . 45 – -32 =

31 – 40 =

479 – -21 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 10

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Fractions and Mixed Numbers A fraction represents part of a whole. A mixed number represents a whole number and a fraction.

2 3 3

1 2

Directions: Write the fraction or mixed number that goes with the picture. a

b

1. =

=

=

=

2.

Directions: A dd . Remember that when the numerator equals the denominator, you can make a whole nu m b e r. a

b

3.

1 1 + = ____ 2 2

1 2 2 + = ____ 3 3

4.

1 1 + = ____ 4 4

1 3 + = ____ 4 4

5.

3 3 + = ____ 8 8

1 1 + = ____ 3 3

6.

3 1 + = ____ 7 7

2 7 + = ____ 9 9

7.

1 1 +1 = ____ 2 2

1 3 + = ____ 5 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 11

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Equivalent Fractions Equivalent simply means equal.To find equivalent fractions, multiply or divide both the numerator and the denominator by the same number. Directions: Complete each equation to create equivalent fractions. a

b

c

1.

2 = 4 8

1 2 = 5

1 4 2

2.

1 = 3 9

3 = 4 12

5 25 = 6

3.

1 4 = 2

1

4.

6 3 = 8

6 3 9

7 = 8 16

5.

5 25 = 9

1 2 = 8

2

=

=

3 6

3 1 = 3

=

Directions: Complete each equation with = or a

=

8 12

.

b

c

6.

1 2

2 4

2 3

2 5

10 15

2 3

7.

2 6

1 3

3 9

2 3

1 10

2 5

8.

5 10

4 8

3 4

3 9

2 4

1 2

9.

1 3

3 12

2 5

10 25

5 6

10 12

10.

3 6

1 3

3 4

9 12

2 8

1 4

11.

3 4

7 8

2 9

1 3

3 5

4 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 12

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Decimals and Fractions Decimals are like fractions.They represent a part of a whole. A decimal is sometimes written with a zero in the ones place. Directions: Write each decimal number as a fraction. a

c

b

1 . 0.2 =

.9 =

0.004 =

2 . .02 =

0.90 =

.204 =

3.

.54 =

0.070 =

4 . .5 =

.66 =

1.5 =

5 . 0.98 =

0.75 =

2.05 =

6 . .17 =

.4 =

0.3=

7 . 0.1 =

0.08 =

5.001=

0.33 =

Directions: Write each fraction as a decimal nu m b e r. Round to the n e a rest thousandths place. a

b

c

8.

1 = ____ 3

2 = ____ 4

5 = ____ 8

9.

1 = ____ 4

1 = ____ 8

3 = ____ 6

10.

2 = ____ 5

5 = ____ 6

4 = ____ 9

11.

1 = ____ 6

4 = ____ 6

3 = ____ 10

12.

3 = ____ 10

2 = ____ 3

17 = ____ 100

13.

1 = ____ 7

3 = ____ 5

1 = ____ 25

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 13

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

O rder Numbers When ordering numbers, first compare the digits in the place of the greatest value. Be sure to look at the same place in each number. Directions: Look at the pair of numbers. Circle the number with the greater value. a

c

b

1.

72

27

138

128

583

853

2.

85

58

76

100

246

2,462

3.

540

89

10,927

69,125

428,300

42,830

4.

2,493

3,960

597,280

49,723

674,329

764,329

Directions: Write the numbers in order from least to greatest. 5.

69,832 4,970 21,058

6.

47,291 1,749 56,022

7.

21,732 655,934 27,582

8.

195,732 67,575 908,274

9.

63,570 63,807 659 63,472

10.

6,712 6,793 6,79 7,235

Directions: Write the numbers in order from greatest to least. 11.

6,792 27,483 5,729 7,240

12.

5,720 5,729 6,729

13.

7,178 273 47,283 2,704

14.

4,091 4,193 4,848 472

483

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 14

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

C o m p a re Numbers Comparing numbers is easy! Just remember to compare like place values.

Directions: Complete each number sentence with =, <, or > . a

c

b

1.

6,723

6,725

2.

0.8

3.

71.82

71.28

7,128

712.8

71.28

7128

4.

2.364

.9457

2,364

9,457

23.64

9.457

5.

57.45

5,745

5,745

.5745

57.45

57.45

6.

9,767.9

9,767

8,147

9,767

976.7

7.

6,728

6,278

6,258

6,295

6,297

8.

229.873

2,298

2,298

229.8

2,298

9.

7,283

7,283

72.83

728.3

7283

10.

0.42

11.

6.732

.800

6,723 0.8

81,472.3 6,529 229,873 7,283.0 0.042 53.48

672.5 0.08

4.2

4.200

67.32

53.48

67.23

67.25

8.0

0.8

42

42.00

6,732

5,348

Directions: Write equivalent fractions or conve rt any numbers that a re not in the same form.T h e n , complete each number sentence with =, <, or > . 12.

2 3

2 9

13.

1 4

3 4

14.

0.7

7 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 15

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Round Numbers If you want to round a number to the nearest ten, look at the digit in the ones place. Round up if it is 5 or greater. Round down if it is 4 or less. Directions: Look at the number in dark print. Round it to the n e a rest ten. Circle the answer in the row at the right. a

20

b

1.

24

25

2.

2

3.

17

10

15

4.

78

70

80

5.

111

100

6.

93

7.

30

50

5

36

30

35

40

20

98

80

90

100

90

254

240

83

80

80 90 100

2003

1990

435

420 430 440

57

50

8.

60

50 60 70

375

370

380

400

9.

679

670 680 690

120

110

120

125

10.

1245

1240 1250 1255

336

330

340

360

0

5

10

110

120

10

50

250 90

260 100

2000 60

2010

70

Directions: Round to the nearest whole nu m b e r. a

c

b

11.

3.2

0.06

0.54

12.

0.9

4.499

0.07

13.

51.3

9.9

0.7

14.

4.5

31.6

1.2

15.

672.0

183.72

48.3

16.

921.6

358.08

523.09

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 16

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Estimate A n swers Estimating is a good way to check answers.The symbol means "is approximately" or "is about equal to." Directions: Round each number to the nearest ten and then find the estimated answe r. a

c

b

1.

63 + 9

5 + 12

3 + 43

2.

87 + 2

18 + 30

65 + 78

3.

6 + 54

75 + 9

38 + 91

4.

43 + 45

26 + 96

82 + 458

5.

22 + 88

39 + 272

47 + 305

6.

7 + 91

486 + 108

709 + 26

7.

10 + 63

431 + 8

4 + 463

8.

247 + 709

374 + 398

517 + 780

9.

951 + 46

69 + 501

36 + 552

10.

344 + 207

219 + 745

622 + 344

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 17

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Pe rcentag e s Percentages are another way to tell about part of a whole. Percent means "out of 100." Directions: Write the correct percentag e to describe how m uch is shaded. a

c

b

1.

2.

3.

4.

Directions: Write 100%, 50%, 10% or 0% to describe how the first nu m b e r relates to the second. a

c

b

5.

95 - 95

0 - 37

3 - 30

6.

40 - 80

30 - 30

15 - 30

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 18

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Pe rcentag e s Finding a percent of a number is easy. Change the percent to a decimal, then multiply.To find what percentage one number is in relation to another, divide. Directions: Find the number for each percentag e. S h ow your work. a

b

1.

60% of 30 =

25% of 8 =

2.

50% of 96 =

10% of 90 =

3.

90% of 80 =

30% of 45 =

4.

65% of 200 =

20% of 100 =

5.

80% of 40 =

45% of 550 =

Directions: Find the percentag e for each set of numbers. S h ow your work. a

b

6.

8 out of 80 =

45 out of 90 =

7.

120 out of 80 =

8 out of 4 =

8.

9 out of 15 =

20 out of 300 =

9.

45 out of 60 =

20 out of 5 =

10.

3 out of 27 =

20 out of 20 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 19

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Pe rcents and Decimals Percentages and decimals are practically the same thing!

Directions: Conve rt each decimal to a percent and each p e rcent to a decimal. a

c

b

1.

0.38 =

.47 =

0.03 =

2.

3.6 =

1.0 =

0.3 =

3.

0.15 =

2.5 =

3.0 =

4.

45% =

5% =

150% =

5.

73% =

25% =

15% =

6.

99% =

25.5% =

1.5% =

Directions: Write =, <, or > to compare each number. Conve rt when needed. a

c

b

0.75

600%

60%

23%

2.3

0.2

2.3%

2.3

0.03

23%

2.3%

7.

0.8

8.

34%

39%

0.02

9.

1.0

100%

30%

10.

63%

0.16

0.5

50%

1.5

11.

40%

0.4

0.6

63%

1.50

12.

.92

90%

0.6

.1

.5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1.5% 150% 5%

Date 20

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Pe rcents and Fractions When converting fractions to percents, round to the nearest whole number.

Directions: Conve rt each fraction to a percent and each p e rcent to a fraction. a

b

c

1.

3 = ____ 4

1 = ____ 2

1 = ____ 5

2.

1 = ____ 6

5 _ = ____ 64

3 = ____ 8

3.

2 = ____ 9

2 = ____ 3

6 = ____ 7

4.

45% =

30% =

50% =

5.

66% =

1% =

75% =

6.

27% =

99% =

80% =

Directions: Write =, < or > to compare each number. Conve rt numbers when needed. a

7. 8. 9.

3 5 1 3 4 5

10.

25%

11.

1 8

12.

65%

c

b

2 5

75%

39%

1 8

80%

30%

1 4 15%

2 3

1 3

3 4 10%

2 7 35%

9 10

90%

2 5

45%

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

90%

2 5 1 4 1 5 3 10 1 2

8 9 40% 22% 20% 10% 55%

Date 21

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Ratios A ratio compares two amounts. Reduce ratios to their lowest terms by dividing each part by the greatest common factor. A ratio can be written in several ways.The ratio of boys to girls in a club with 5 boys and 10 girls can be written in these ways:

5 10

5 to 10

1 2

5:10

1 to 2

1:2

Directions: Write the ratio in two ways. Reduce if needed. A softball team has 5 girls and 11 boys. 1 . The ratio of girls to boys. 2 . The ratio of boys to girls. 3 . The ratio of boys to the entire team. 4 . The ratio of the entire team to girls. In a classroom, 12 people walk to school.The other 16 get rides. 5 . The ratio of walkers to riders is 12 to 16. 6 . The ratio of the entire class to walkers is 28:12. 4 16 7 . The ratio of riders to the class is or . 7 28 Of the riders, 11 people ride a bus and 5 get rides from a parent. 8 . The ratio of busers to the entire class is 11 to 16. 9 . The ratio of people getting rides from a parent to busers is 5:11.

10. The ratio of busers to walkers is

11 . 12

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 22

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Ratios Ratios can compare parts to a whole. Ratios can also compare two separate sets. Directions: Write the ratio for each situation. R e m e m b e r to reduce if needed.

Emma has 7 pencils, 6 markers, and 5 pens. 1 . What is the ratio of pencils to pens? 2 . What is the ratio of markers to all her writing tools? 3 . What is the ratio of pens to markers? 4 . What is the ratio of all writing tools to pencils?

Jacob's family has 1 dog, 1 cat, 4 goldfish, and 2 lizards. 5 . What is the ratio of cats to dogs? 6 . What is the ratio of lizards to goldfish? 7 . What is the ratio of goldfish to all their pets? 8 . What is the ratio of all their pets to cats? 9 . What is the ratio of dogs to lizards? 10. What is the ratio of all their pets to lizards?

Emma's family has 2 dogs and 2 cats. 11. What is the ratio of Jacob's family pets to Emma's? 12. What is the ratio of Emma's dogs to Jacob's dogs? 13. What is the ratio of Emma's dogs and cats to Jacob's dogs and cats? 14. What is the ratio of Jacob's lizards to Emma's lizards? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 23

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Exponents An exponent shows how many times a base number is multiplied by itself. exponent 103 base 10 x 10 x 10 = 1,000

64 6 x 6 x 6 x 6 = 1296

Directions: Write each exponential number in standard fo r m . S h ow your work. 6

1 . 10 = 2

2 . 17 = 8

3. 4 = 5

4. 9 = 3

5. 5 = 4

6. 8 = 7

7. 2 = 2

8 . 10 = 2

9 . 12 = 3

10. 9 = 4

11. 4 = 2

12. 11 = 5

13. 3 = 2

14. 7 = 4

15. 6 = Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 24

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Exponents Exponents are often used to show the prime factorization of a number. 12 = 3 x 4 = 3 x 2 x 2= 3 x 22

Directions: Write the prime factorization for each nu m b e r. a

b

c

1.

30

25

11

2.

16

72

66

3.

41

81

48

b

c

Directions: S o l ve. a

4.

5 x 32 =

5 x 33 =

33 x 23 =

5.

24 x 5 =

3 x 72 =

2 x 3 x 52 =

6.

33 x 7 =

33 x 22 =

22 x 3 x 5 =

7.

11 x 23 =

32 x 22 =

23 x 3 x 7=

8.

32 x 13 =

32 x 23 =

2 x 33 x 7 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 25

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Use your number sense to solve each problem.

Directions: Use what you know about numbers and number sense to answer each question. Use labels when needed. 1 . George Foreman named all his sons after himself. He's George I, the youngest is George VI. How many Georges live in the Foreman house? 2 . A book was published in the year MMV. In what year was the book published? 3 . The latest handheld computer gaming system costs $260.50. If you can buy it for $50 off, how much will you pay? 4 . What is 260.5 in word and expanded form? 5 . Caleb borrowed $5 from his mom for lunch.Then he borrowed $6 to rent a video game.Write and solve an equation to show how much money Caleb owed. 6 . By the end of the week, Caleb owed his mom $20. If he earned $35 over the weekend and paid his mom back, how much did he have left? 7 . Sara ate 3 pieces out of a 10-slice pizza. How much of the pizza did she eat?

1 of the pizza? 2 2 9 . A sheet pizza is cut into 10 pieces. Kayla ate 2 pieces or of it.What is 10 the decimal number for the amount Kayla ate? 8 . If a pizza is cut into 8 slices, how many pieces make

10. Josh ate 75% of a pizza himself.Write the fraction that shows how much of the pizza he ate.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 26

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Use these word problems to test your knowledge of number sense.

Directions: Use what you know about numbers and number sense to answer each question. 1 . Out of 5 DVDs, one was 97 minutes long, another was 104 minutes, the next was 95 minutes, another was 111 minutes, and the last was 118 minutes long.Write the number of minutes of each movie in order from greatest to least. 2 . Ana's family shopped for a computer system. One system cost $1,204.50 and another cost $1,290.40.Which amount is the least? 3 . If James ate

2 5 of his dinner and Megan ate of hers, who ate the most? 3 6

4 . Red Mountain Middle School has 439 students. Estimate how many students attend the school. 5 . Stone Intermediate School has 272 fifth-graders and 345 sixth-graders. How many students attend Stone? Estimate each number by rounding to the nearest ten, then add. Next find the exact answer. 6 . In Mr. Forrest's class of 24 students, 12 are girls.What percentage are girls? 7 . Of the same class of 24 students, 25% walk to school. How many students walk? 8 . Of the class of 24 students, 8 ride the bus.What percentage ride the bus? 9 . A drink mix calls for 3 spoonfuls of mix to 6 cups of water.What is the ratio of water to mix? 10. Ms. Moss told her students that her age is 25. How old is Ms. Moss?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 27

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Number Sense Here's a chance to show what you know! Directions: Use what you know about numbers and number sense to answer each question. 1.

Pope Benedict XVI was elected in 2005.What is the Roman numeral in standard form?

2.

Scientists predict an asteroid will come close to Earth in 2029.What is the year in Roman numerals?

3.

In the number 427,659.03, what is the value of the digit 5?

4.

What is the standard form of 300,000 + 400 + 50 + 7 + 0.2? a

c

b

5.

37 - -24 =

1 2 + = 4 4

-13 - 4 =

6.

-56 + -7 =

2 1 +2 = 3 3

20 + -7 =

7.

Write a decimal number to show how much of the box above is shaded.

8.

Write a fraction to show how much of the box above is shaded.

9.

Write a percentage to show how much of the box above is shaded.

10.

Rewrite to create equivalent fractions:

11.

Over the weekend,Taylor played

1 2 ? 4 5 = = = = 2 ? 6 8 ?

2 of a level in her new computer game. 3

If each level has 6 rounds, how many rounds did Taylor play? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 28

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Number Sense Remember to convert numbers when needed! Directions: Complete each equation with <, > or =. a

c

b

1.

532

523

2.

89

3.

6729

4.

-34

5.

-6

6.

CCC

M

7.

XVI

XIV

8.

Matt read

89.0 6892 34 -9

XC

CX

0.45

4 7

0.54

6 7

10% 0.9

1.0

9 10

25% 3 ᎏ 6

0.03 1 ᎏ 2

501

CCXXX

XXXIX

38.0

44

44

32

10

102

100

66%

1 ᎏ 3

4 5

0.75

1 of a novel last night. Aliya read 30% of the same book.Who 4 read the greater amount of the book? Write the equation, conversion, and answer.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 29

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

F act Families Addition and subtraction are related. Here’s a fact family:

3+4=7

4+3=7

7–3=4

7–4=3

Directions: Time yourself to see how quickly you can complete these basic addition and subtraction pro bl e m s . a

b

c

d

e

1.

7 +4

8 +5

14 7

20 8

11 5

2.

5 +8

13 5

2 +8

5 +6

4 +5

3.

7 3

20 12

7 +7

9 4

9 5

a

c

b

4. 7 + 8 =

10 – 5 =

8+7=

5 . 12 – 6 =

15 – 7 =

3+5=

6. 8 + 9 =

17 – 9 =

6+6=

7. 8 – 5 =

5+7=

12 – 7 =

8. 7 + 5 =

17 – 8 =

8+5=

Directions: Complete these fact families. 9. 2 + 6 = 10. 7 + 3 = Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 30

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

P roperties of A ddition Learn to use these properties of addition. The Commutative Property says that you can add two numbers in either order and get the same sum. The Associative Property says that you can group 3 or more numbers in any way and get the same sum. The Identity Property says that the sum of any number and zero is that number. Directions: Write C if the equations demonstrate the Commutative P ropert y, A for Associative, and I for Identity. 1.

8 + 3 = 11

3 + 8 = 11

2.

5+0=5

0+7=7

3.

3 + (1 + 2) = 6

(3 + 1) + 2 = 6

4.

6 + (3 + 5) = 14

(6 + 3) + 5 = 14

5.

3 + 14 = 17

14 + 3 = 17

6.

6300 + 0 = 6300

0 + 6300 = 6300

7.

17 + 3 = 20

3 + 17 = 20

Directions: Write two examples to demonstrate each propert y. 8 . Commutative 9 . Associative 10. Identity

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 31

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R e g rouping in A ddition Always start by adding the ones column. Remember to regroup into the next greater place value. Directions: A dd . a

b

c

d

1.

45 + 34

94 + 13

570 + 375

248 + 713

2.

63 + 88

39 + 240

629 + 248

254 + 353

3.

309 + 221

572 + 407

104 + 823

496 + 205

4.

623 + 315

52 + 939

423 + 160

821 + 557

5.

572 + 306

678 + 485

374 + 246

702 + 699

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 32

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check A ddition Because addition and subtraction are inverse operations, you can use subtraction to check your addition. Directions: Write and solve a subtraction pro blem to check each sum. Circle the correct sum. a

c

b

1.

29 + 37 66

86 + 73 149

243 + 370 613

2.

52 + 48 90

33 + 77 112

409 + 77 486

3.

74 + 26 90

99 + 61 170

628 + 334 952

4.

538 + 57 595

206 + 129 435

835 + 275 1110

5 . Tony read 134 pages of a book one week and 247 the next. He figured that he'd read 371 pages in two weeks.Was he correct? Write Tony's addition equation.Then write a subtraction equation to check Tony's addition.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 33

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A d d T h ree or More A ddends To solve real life problems, you may need to add more than two numbers together. Directions: A dd . a

b

c

d

e

1.

43 84 + 67

23 72 + 375

19 97 + 13

24 39 + 202

39 57 + 28

2.

39 21 + 40

71 60 + 24

26 38 + 22

55 21 + 73

27 81 + 45

3.

18 6 24 + 22

85 93 16 + 50

72 82 75 + 21

96 38 96 + 117

63 8 320 + 44

Directions: R ewrite in ve rtical fo r m , then add . Remember to line up the digits in the ones place. a

b

4 . 67 +32 + 49 =

531 + 47 + 6082 =

5 . 720 + 93 + 6+ 400 =

293 + 444 + 20 +539 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 34

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dd Up to Four Digits Try adding numbers in the thousands.

Directions: A dd . a

b

c

d

e

1.

1689 + 201

247 + 7196

3077 + 4882

4510 + 2179

3846 + 5538

2.

723 + 3175

2624 + 3581

9967 + 1753

8335 + 4056

9091 + 4485

3.

6283 + 769

8354 + 2247

2048 + 3642

7741 + 8964

7746 + 5937

4.

6930 + 2043

734 + 7291

5171 + 5399

2392 + 6550

4289 + 6372

5.

9283 + 1418

4720 + 3949

7662 + 6374

5883 + 2457

2575 + 3486

Directions: R ewrite in ve rtical fo r m , then add . Remember to line up the digits in the ones place. a

b

6 . 2364 + 4729 =

923 + 4120 =

7 . 3196 + 5892 =

853 + 8174 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 35

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Decimals When you add decimals, line up the numbers on the decimal points.

Directions: A dd . a

b

c

d

e

1.

3.17 + 2.02

40.2 + 28.3

14.56 + 3.23

29.68 + 27.17

31.32 + 58.8

2.

24.6 + 49.7

71.5 + 1.89

0.63 + 2.47

46.7 + 58.84

7.108 + 0.297

3.

5.72 + 21.4

60.2 + 39.8

3.6 +5

95.09 + 8.92

4.09 + 276

4.

28.6 + 37.24

57.19 + 24.81

38.7 + 4.08

66.36 + 32.28

53.2 + 8.86

Directions: R ewrite each in ve rtical form, then solve. Remember to line up the decimal points. a

b

5 . 7.24 + 4.35 =

62.39 + 13.05 =

6 . 9.2 + 12.3 =

35.6 + 35 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 36

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to Seven Digits Adding numbers in the millions is the same as adding other numbers.You may need to regroup more than once. Directions: A dd . a

b

c

d

1.

34,972 + 58, 047

3, 453.9 + 6,540.48

73, 268.84 + 9, 437.4

196,836 + 2, 472, 299

2.

80,936 + 42,376

842,742 + 374,368

3, 458, 057 + 2,761, 087

3,685, 409 + 137,849

3.

619, 471 + 55,639

4,270,408 + 3, 468,692

2,563, 494 + 87, 465

4,379,841 + 6, 047

4.

538, 264 + 246, 455

7,386,609 + 1,814,811

4,995,892 + 43,885

275,326 + 1, 243,987

Directions: R ewrite in ve rtical fo r m , then solve. Remember to line up the digits in the ones place or on the decimal. a

b

5 . 710,524 + 85,329 =

6,342.84 + 7,259.58 =

6 . 91,367.2 + 258,481 =

2,658,057 + 3,573,482 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 37

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Greater Integers Adding a negative number and a positive is like subtracting.The sum will be positive or negative, depending on which addend is greater.

+

51310

640 + 345 295

345 640

Directions: Write P if the sum will be positive. Write N if the sum will be negative. a

c

b

1 . -30 + -70 =

12,000 + 45,300 =

140 + -30 =

2 . 50 + -320 =

-3,300 + -4,800 =

874 + -799 =

3 . -450 + 350 =

6,080 + -3,200 =

-703 + 400 =

Directions: A dd the integers. a

4.

30 + 70

5.

50 + 320

450 + 350

6.

b

12, 000 + 45,300

d

e

140 + 30

208 + 112

39 + 54

+ 4,800

874 + 799

862 + 142

230 + 500

6,080 + 3,200

703 + 400

213 + 25

85 + 46

c

3,300

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 38

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice A ddition Now put it all into practice! Directions: A dd .Write a subtraction pro blem to check your answe r. a

c

b

1.

57 + 29

580.3 + 339.8

275,326 + 1, 243,987

2.

48 + 13

92,556 + 325,304

639,185 + 490

3.

85 + 32

3, 470.9 + 4,828.04

3, 465,304 + 466,874

Directions: A dd .

4.

a

b

637 + 681

8, 306 +4,185

742,804 + 219,537

252 368 + 73

9182 + 735

699.32 + 240.809

6,082, 268 + 43,326

29 5 30 + 26

5.

c

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

Date 39

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice A ddition Remember to line up the addends on the ones place. Directions: R ewrite each in ve rtical form, then add . a

b

1 . 249 + 347 =

185 + 522 =

2 . 549 + 364 =

4,931 + 7,612 =

3 . 57,246 + 619.02 =

2,941.9 + 5,487 =

4 . -453 + 492 =

63,447 + 428,609 =

5 . -513 + -492 =

1,234,567 + 7,890,321 =

Directions: Write the letter of the property the equation shows. 6.

3,190 + 0 = 3,190

A. Associative

7.

45 + 63 = 63 + 45

B. Identity

8.

3 + (21 + 4) = (3 + 21) + 4

C. Commutative

Directions: Write an addition equation to go with the pro bl e m . S o l ve . 9 . Abby read 208 pages one week,132 the next, and 256 in the third week. How many pages did she read in all?

10. Andrew borrowed $208 to buy birthday presents for his twin sisters. He paid back $132. How much money does Andrew have?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 40

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R e g rouping in Subtraction When subtracting, start with the place at the far right.

415

554 283 271

Directions: S o l ve. R e g roup as needed. a

b

c

d

e

1.

75 34

85 24

409 77

672 308

619 471

2.

80 41

86 49

528 129

489 278

556 369

3.

339 229

249 163

933 467

525 343

345 275

4.

623 315

604 310

794 662

846 508

807 471

5.

572 306

752 336

582 491

666 333

936 736

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 41

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Subtraction Because subtraction and addition are inverse operations, you can use addition to check your subtraction. Directions: Write an addition pro blem to check each difference. Circle the correct diffe rence. a

c

b

1.

547 328 219

760 532 228

439 328 11

2.

389 299 190

684 457 237

288 197 91

3.

835 224 611

993 89 804

57 29 38

4.

351 274 83

527 429 102

775 504 271

5 . Ethan counted 64 steps from the school’s first floor to the third floor.When Ethan had climbed 27 steps, he said that he only had 47 more to go.Was he correct? Write Ethan's subtraction equation.Then write an addition equation to check Ethan's subtraction.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 42

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Two or More Subtrahends In real life problems, you may need to subtract more than two numbers. Subtract one at a time. Another strategy is to add the subtrahends together, then subtract their total from the minuend. 36 – 27 – 8 = ? 36 – (27 + 8) = ? 36 – 35 = 1 Directions: R ewrite the equations, then subtract. a

b

c

1 . 70 – 24 – 30 =

68 – 36 – 17 =

528 – 144 – 24 =

2 . 55 – 35 – 9 =

425 – 33 – 205 =

94 – 32 – 48 – 5 =

3 . 170 – 49 – 26 =

87 – 41 – 20 =

230 – 65 – 17 – 20 =

4 . 143 – 64 – 22 =

150 – 65 – 34 =

300 – 147 – 36 – 51 =

5 . Michael received $45 for his birthday. He bought a CD for $16.Then he bought a new joystick for $25. How much does Michael have left to spend?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 43

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to Four Digits Subtracting numbers in the thousands is the same as subtracting other numbers. Directions: Subtract. R e g roup when needed. a

c

b

1.

3, 465 3,352

8,506 6,322

4,720 3,949

2.

8,704 2,603

7, 031 4, 842

2,186 1, 038

3.

9, 347 7, 225

5, 372 1, 098

4,850 2,960

4.

8, 452 5, 429

9,688 7, 295

6, 973 894

5.

6, 927 4,883

3, 475 347

8, 075 3,326

Directions: R ewrite in ve rtical fo r m , then subtract. Remember to line up on the ones place. a

b

6 . 4,283 – 3,066 =

8,491 – 236 =

7 . 7,528 – 4,498 =

6,778 – 354 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 44

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Decimals When subtracting decimals, you can add a zero to hold a place.

7 - 2.5 = ?

7 2.5

610

7.0 2.5 4.5

Directions: Subtract. a

c

b

1.

5.3 2.4

12.6 3.8

43.07 24.2

2.

6.45 3.04

10.5 3.25

35.28 14.19

3.

2.68 0.09

27.48 14

4.009 0.23

4.

9.34 4.27

32 2.74

75.3 2.95

5.

14.56 3.23

9.8 7.9

48 26.7

Directions: R ewrite in ve rtical fo r m , then subtract. Remember to line up the decimals. a

b

6 . 9.75 – 6.5 =

24 – 13.7 =

7 . 74.3 – 2.01 =

15.8 – 3.04 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 45

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to Seven Digits Subtracting numbers in the millions is the same as subtracting other numbers.You may need to regroup more than once. Directions: Subtract. a

b

c

d

1.

45,728 32,671

75,678 66,533

478, 094 99,909

261, 035 152, 027

2.

64, 000 21,703

808, 459 785, 000

574,108 148,900

843, 454 735, 271

3.

58,362 41,955

907,543 643, 252

3,746,583 1,536,379

1, 036,130 572,614

4.

786, 450 534,384

3, 458, 057 2,761, 087

8,899,350 7,763,209

6,580, 262 3,673,152

Directions: R ewrite in ve rtical fo r m , then solve. a

b

5 . 450,369 – 235,852 =

743,927 – 21,638 =

6 . 4,387,256 – 2,297,149 =

2,951,062 – 1,832,443 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 46

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Integers Subtracting a negative number is like adding a positive. If the minuend is negative, set it up as a subtraction problem. -3 – -3 = 0

10 – -3 = 13

-3,022 – -3,023 = 1

-400 – -300 = -100

Directions: Write P if the answer is positive and N if the answer is negative. a

c

b

1 . 35 – 33 =

136 – 23 =

-500 – 35 =

2 . -25 – 23 =

-45 – -47 =

-200 – -198 =

3 . -200 – 13 =

50 – -25 =

4,020 – -90 =

Directions: Subtract. a

c

b

4.

35 33

136 23

500 35

5.

25 23

45 47

45 54

200 13

50 25

200 198

7.

61 30

16 21

70 30

8.

84 34

330 25

6.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

67 15

Date 47

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction You've learned a lot - now sharpen your skills!

Directions: Subtract.Then write an addition pro blem to check your answe r. a

1.

67 28

b

c

93 45

56 35

b

c

Directions: Subtract. a

2.

461 258

1,380 224

4,589 1, 470

3.

857 306

3, 079 1,562

50,312 37, 481

4.

63.36 54.27

21,305 18, 473

835 758

5.

538 285

46 3.99

265, 832 46, 740

6.

245,730 66,842

1,111,111 71,100

9,276 5,031

Directions: R ewrite in ve rtical fo r m , then subtract. a

b

82,756 – 41,768 =

7 . 4,147 – 309 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 48

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Just a little more practice, and you'll have it!

Directions: Write and solve an addition pro blem to check each difference. Circle the correct diffe rence. a

1.

84 39 45

c

b

507 350 257

4824 930 3884

Directions: R ewrite in ve rtical fo r m , then subtract. a

b

2 . 673 – 347 =

752,582 – 4,673 =

3 . 1246 – 950 =

973 – 1039 =

4 . 35.27 – 20.356 =

-364 – -459 =

5 . 682.03 – 355 =

2,831 – 57.08 =

6 . 84,631 – 58,54 =

62,115 – 38,744 =

Directions: S o l ve. 7 . Nicole and Melissa were racing to finish reading a novel. One week Nicole was behind by 45 pages.The next week, she was behind by 23 more pages. If pages were points, how many fewer points would Nicole have than Melissa?

8 . Manny had 56 trading cards. He traded 18 of them to Julio for an action figure. How many cards did Manny have left?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 49

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Look for key words to help you decide what operation to use.

Addition word problems often involve putting sets of numbers together or gaining a certain amount. Clue words that may indicate addition include altogether, total, or in all. Subtraction word problems often involve comparing sets of numbers or losing a certain amount. Clue words that may indicate subtraction include difference, more, or borrow. Directions: Write the letter of the equation that matches each word p ro bl e m .Then solve. Remember to label your answers. A. 132 – 85 = B. 85 + 132 =

C. D.

-132 + 85 = -85 + 132 =

1.

Bryan read 85 pages of a novel one day and 132 pages the next. How many pages had he read in all?

2.

Paige had only 132 pages left to read of her novel.The next day, she only had 85 pages more to read. How many pages had she read in two days?

3.

Bryan was learning a new game. His score after the first round was -132. In round 2 he scored 85 points.What was his total score after two rounds?

4.

Paige borrowed 85 craft sticks from the art teacher for a project. Then she bought a bag of 132 craft sticks. After giving back the amount she owed, how many craft sticks did Paige have?

Directions: Write an equation and solve. 5 . Miguel bought a new pair of pants for $22.50 and a new pair of shoes for $34.95. How much did his clothes cost altogether? 6 . Katie tried on a skirt that cost $35.00 and another one that cost $28.50. What is the difference in the prices? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 50

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Look for key words that signal the operation to use. Directions: Write an equation, then solve. S h ow your work. Remember to line up the numbers in the equation correctly and to label your answers. 1 . Trevor’s city is 82 miles away from the next closest city.The state capital is another 96 miles beyond that city.Trevor says his city is 178 miles away from the capital. Is he correct? Write the addition equation Trevor used and a subtraction problem to check his addition. 2 . Cassie says that all of her relatives live until they are exactly 101 years old. She says that since she is 13 years old, she has 92 more years to live. Is her math correct? Write the subtraction equation Cassie used and an addition problem to check her subtraction. 3 . Trevor lives in the city. His school has 1,264 students. Cassie lives in a suburb. Her school has 856 students. How many more students attend Trevor's school than Cassie’s? 4 . The population of Trevor's city is 342,640 people. Cassie’s town is a suburb of Trevor's city.The population there is only 79,850 people. How many people live in the city and the suburb in all? 5 . Trevor’s baseball team scored 7 points in their first game, 14 points in the next, and 13 points in the third game. How many points did his team score in three games? 6 . Cassie had a gift certificate with $65 dollars on it. If she spent $14 on CDs and $37 on clothes, how much money did she have left on her certificate? 7 . Cassie had $154.62 in her savings account. She took out $80.50 to buy a new bike. How much is left in her account? 8 . The temperature was -5 degrees. It dropped another10 degrees overnight. What is the temperature?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 51

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview A ddition and Subtraction Be sure to watch your signs! Directions: S o l ve, then write an equation using the inverse operation to check your computation. a

b

1.

936 778

5,832 + 7, 041

2.

5,044 2,852

38, 428 27,842

3.

847 + 3,951

64,397 + 33, 465

Directions: S o l ve. a

c

b

4.

446 + 372

284 97

82.31 + 55.6

5.

756 + 243

3,814 3,248

1, 407.5 324.35

6.

568 369

341 79 + 115

53,496 + 471, 428

7.

4, 183 + 2,877

814.62 + 727.70

635, 038 + 284,972

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 52

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview A ddition and Subtraction Keep going—soon you’ll be ready for multiplication!

Directions: S o l ve. S h ow your work. 1 . 40 – 50 = 2 . -30 + 150 = 3 . 30 – -60 = 4 . -120 + -200 = 5 . -400 – -300 = 6 . 570 + -260 = 7 . 42,360 + 3,987 = 8 . 64,429 – 38,341 = 9 . 58.93 – 42.78 = 10. 842.36 + 59.7 = 11. 9,356 – 671.8 = 12. 75,340 + 2,974.83 = Directions: Write the letter of the matching equation, then solve . Remember to label your answers. A. $28 - $16 =? B. $-28 + $16 =?

C. 44,854 + 35,971 =? D. 44,854 - 35,971 =?

13. Centerville has a population of 35,971. Springfield has a population of 44,854.What is the difference in population of the two towns? 14. Centerville and Springfield are the largest cities in Bear County.What is the total population of the two? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 53

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Multiples The common multiples of 2 and 3 are 6, 12, 18, 24, and 30.The least common multiple is 6. Directions: Write the first 10 multiples of each number. 1.

4

2.

5

3.

6

4.

7

5.

8

6.

9

7.

10

8.

11

9.

12

10.

15

11.

20

12.

25

Directions: Write the common multiples of the two numbers give n . Circle the least common multiple. a

b

13.

2 and 4

8 and 9

14.

3 and 10

6 and 9

15.

5 and 6

3 and 7

16.

5 and 15

2 and 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 54

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Factors A factor of a number is a number that can evenly divide it. A common factor is a number that can divide two specific numbers evenly. Directions: List the factors for each nu m b e r. Remember that a ny number can be divided by itself. a

c

b

1. 3

8

11

2. 5

9

15

3. 6

10

12

4. 7

14

16

Directions: List the common factors for the two numbers give n , other than one, if any. Circle the greatest common factor. a

c

b

5 . 6 and 8

8 and 16

21 and 35

6 . 9 and 15

7 and 11

28 and 24

7 . 10 and 20

12 and 18

36 and 27

8 . 32 and 56

12 and 16

15 and 35

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 55

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Identify P rim e and Com posite Num bers The number 1 is unique—it is neither prime nor composite.

A prime number is a number that can only be divided by 1 and itself.

Directions: Circle the numbers that are prime. Underline the nu m b e r s that are composite. 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

Directions: Write the first thirteen prime numbers in order fro m least to greatest.

Date

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

56

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Prime Factorization You can express composite numbers using only prime numbers. 24 = 2 x 2 x 2 x 3 = 23 x 3

Directions: S h ow the prime factorization of these numbers. a

b

c

1.

18

8

4

2.

49

12

6

3.

35

20

30

4.

75

17

7

5.

64

25

9

6.

23

19

13

7.

15

32

65

8.

21

10

22

9.

50

16

24

10.

36

34

125

11.

19

60

77

12.

11

88

100

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 57

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplication Facts Time yourself on these easy facts!

Directions: S o l ve. a

b

c

d

e

f

1.

3 5

6 2

4 10

7 4

10 2

2 4

2.

4 7

7 8

8 2

5 8

3 0

3 8

3.

5 8

1 3

10 9

6 7

8 7

6 9

4.

9 3

2 7

0 6

9 8

5 5

7 10

Directions:

S o l ve .

a

b

c

d

5. 7 x 9 =

7x3=

3x8=

4x9=

6. 6 x 6 =

4x4=

9x9=

3x8=

7. 8 x 4 =

9x5=

7x1=

0x2=

8 . 10 x 5 =

3x3=

10 x 8 =

5x7=

9. 4 x 7 =

2x5=

5x6=

6x6=

10. 8 x 8 =

6x3=

7x7=

3x7=

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 58

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

P roperties of Multiplication Here are the five properties of multiplication

Identity Property: Multiply any number by one and you get the original number. 2000 x 1 = 2000 Zero Property: Multiply any number by zero and you always get zero. 63,000 x 0 = 0 C o m m u t a t i ve Property: Switch the numbers to be multiplied and you get the same answer. 3 x 7 = 21 7 x 3 = 21 Associative Property: Group three or more numbers differently and you get the same answer. 2 x (3 x 4) = 24 (2 x 3) x 4 = 24 Distributive Property: First add numbers in parentheses then multiply or multiply each addend by the number to get the same answer. (The same works for subtraction, as well.) A dd Numbers First 2 x (3 + 4) = 2x 7 = 14

Multiply First 2 x (3 + 4) = (2 x 3) + (2 x 4) = 6 + 8 = 14

Directions: Write an equation to demonstrate the named propert y. S o l ve , and show each step of the equation. 1 . Commutative Property 2 . Associative Property 3 . Distributive Property 4 . Identity Property 5 . Zero Property Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 59

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Multiplication and Division Just as addition and subtraction are inverse operations, so are multiplication and division. Use one to check the other. 4 x 14 = 46 Check by dividing. 46÷4 = 11 remainder 2. No, 4 x 14 does not equal 46. Try again. 4 x 14 = 56? Check by dividing. 56÷4 = 14. Yes, you are correct.

Directions: Write an inverse pro blem to check each equation, t h e n solve it. a

b

1.

26 2 42

8 14 102

2.

60 9 540

3 27 71

3.

6 19 114

4 46 184

4 . Cory Nash scored 9 points for his basketball team in one game. He hoped to do this each of their 21 games. If he did he said that he would reach 189 points and break the league record. Is his multiplication correct? Write Cory's equation.Then write a division equation to check it.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 60

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Up to Four Digits by One Digit Multiply numbers in the thousands just as you would other numbers. Remember to regroup as needed. Directions: Multiply. a

b

c

d

e

1.

523 5

4,618 6

7, 226 5

9, 231 9

1,938 9

2.

732 8

7, 204 7

4, 999 3

1,798 6

3,145 6

3.

4.

1, 470 4

5.

6.

8, 044 2

2, 891 6

6, 238 3

3,592 9

9,027 8

5, 087 6

3, 814 4

2,345 2

2,675 8

6,183 7

8,752 4

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

6,749 2

5, 376 8

4,641 7

8,095 5

9, 407 6

3, 482 4

2, 774 3

7, 853 4

Date 61

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals When multiplying decimal numbers, first bring down the decimal point.

If both numbers have a decimal, count the places in both and move the decimal in the product to the left that amount.

3.06 0.4 1.224

Directions: Multiply. a

b

c

d

e

1.

1.3 2

92 0.6

1.25 8

43.71 6

241 0.3

2.

4.9 3

3.5 0.5

12.5 8

6.32 7

72 0.04

3.

26 0.8

0.81 0.7

1.25 8

0.703 0.1

5.13 0.6

4.

57 .4

0.74 0.9

125 0.8

98.14 0.3

80.8 0.8

5.

2.1 0.5

1.06 4

125 8

34.5 2

13.4 0.002

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 62

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Up to Seven Digits by One Digit Multiply numbers in the millions just as you would other numbers, starting with the digit with the least place value. Directions: Multiply. Remember to re g roup as needed. a

b

c

d

1.

42,968 3

92,173 2

857,643 7

3,104,526 2

2.

57,366 7

801,692 9

370,517 5

6,093,742 5

3.

84, 450 4

780,941 6

1,356, 290 3

2, 488, 473 3

4.

26,739 8

963,314 4

4,812, 295 4

7, 212,909 4

5.

38,505 5

236, 485 6

524,786 8

4,503,721 7

6.

76, 438 6

471, 033 2

869,305 6

1,954,836 6

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 63

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Integers Here are the rules for multiplying integers.

A positive integer multiplied by another positive integer is always a positive. If you multiply a positive by a negative or a negative by a positive, the product is always negative. 4 x -15 = -60 If you multiply a negative by a negative, the product is always a positive. -7 x -11 = 77 Directions: Write P if the product is positive, N if it is negative. a

c

b

1 . -43 x 5 = ?

38 x 6 = ?

-26 x -9 = ?

2 . -29 x -7 = ?

57 x -4 = ?

-45 x 1 = ?

Directions: Multiply. Remember to watch the signs! a

b

24 3

3.

43 5

4.

29 7

141 6

38 6

35 8

5.

c

587 9

518 6

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

326 5

d

735 9

6,381 7

8,205 3

Date 64

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Two Digits by Two Digits To multiply a number by a two-digit number, first multiply by the digit in the ones place.Then multiply by the digit in the tens place.

36 24 144 + 720 864 Directions: Multiply. a

b

c

d

1.

48 13

77 35

25 76

79 27

2.

52 26

62 48

33 24

54 68

3.

83 71

18 83

94 52

37 44

4.

39 28

46 67

17 87

91 56

5.

94 50

81 99

58 68

48 89

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 65

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Up to Four Digits by Two Digits Multiplying four-digit numbers is the same as multiplying two-digit numbers. Directions: Multiply. a

b

c

d

1.

356 25

139 99

9,521 53

8,133 93

2.

704 18

730 36

3, 043 22

3,148 71

3.

285 36

4.

417 64

568 87

2, 876 80

5.

825 53

643 72

2, 431 41

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

4,927 36

7,748 54

5,059 82

6,283 47

9,812 35

Date 66

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals Multiplying large numbers with decimals is no different than with other numbers. Remember to put the decimal point in the correct place. Directions: Multiply. a

b

c

d

1.

81 0.4

96 .58

0.742 31

7.782 .45

2.

7 3.6

3.35 2.6

28.7 2.8

7.056 8.5

3.

5.7 17

94.2 1.1

85.01 6

70.56 8.5

4.

4.9 6.5

4.4 4.4

49.34 .72

705.6 8.5

5.

60.8 4.2

1.46 7.9

1.316 9.3

7056 8.5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 67

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

M u l t i p ly Up to Seven Digits by Two Digits Multiplying numbers in the millions is the same as multiplying other numbers. Start by multiplying the ones place. Directions: Multiply. a

b

c

d

1.

51, 409 63

670, 453 53

6, 427, 033 63

3,172, 480 46

2.

74,623 48

1, 083,627 24

4,880,616 47

523, 099 37

3.

204,378 71

5, 246,193 77

933, 062 35

7,191,325 58

4.

836, 414 35

735, 288 18

864,877 74

8,762,310 79

5.

46,980 12

1, 234,567 89

2,349,912 21

6,930, 087 84

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 68

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Division Facts Time yourself to see how quickly you can complete these basic division facts. Directions: Divide. a

b

c

d

e

1 . 28 ÷ 7 =

36 ÷ 6 =

16 ÷ 8 =

80 ÷ 10 =

6÷1 =

2 . 40 ÷ 5 =

42 ÷ 7 =

35 ÷ 5 =

40 ÷ 8 =

30 ÷ 5 =

3 . 20 ÷ 10 =

14 ÷ 2 =

28 ÷ 4 =

24 ÷ 3 =

9÷9 =

4 . 48 ÷ 6 =

72 ÷ 8 =

54 ÷ 6 =

18 ÷ 2 =

16 ÷ 2 =

5 . 81 ÷ 9 =

15 ÷ 3 =

63 ÷ 9 =

32 ÷ 8 =

50 ÷ 10 =

6 . 18 ÷ 6 =

24 ÷ 4 =

64 ÷ 8 =

9÷3 =

72 ÷ 8 =

7 . 56 ÷ 8 =

100 ÷ 10 =

16 ÷ 4 =

40 ÷ 4 =

14 ÷ 7 =

8 . 45 ÷ 9 =

14 ÷ 7 =

30 ÷ 3 =

12 ÷ 6 =

45 ÷ 9 =

9 . 21 ÷ 3 =

8÷4 =

27 ÷ 9 =

12 ÷ 3 =

70 ÷ 10 =

10. 30 ÷ 5 =

32 ÷ 8 =

30 ÷ 6 =

8÷4 =

55 ÷ 5 =

11. 12 ÷ 6 =

10 ÷ 2 =

45 ÷ 5 =

36 ÷ 9 =

3÷3 =

12. 72 ÷ 9 =

20 ÷ 5 =

27 ÷ 9 =

56 ÷ 7 =

22 ÷ 11 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 69

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Two Digits by One Digit Don't let the numbers overwhelm you—take division one step at a time.

Directions: Divide. a

b

c

1.

5 90

3 90

2 48

3 99

2.

4 68

4 88

6 96

5 95

3.

2 72

3 75

3 81

8 80

4.

3 51

8 96

5 70

2 66

5.

7 98

7 91

9 99

4 72

6.

8 88

5 85

7 84

7 77

Name Math Computation Skills and Strategies, Level 6 Saddleback Publishing, Inc. ©2006

d

Date 70

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Up to Four Digits by One Digit Practice dividing with some larger numbers.

Directions: Divide.

1.

a

b

4 136

)

8 512

)

3 1,686

)

6 2, 982

)

7 5, 467

)

9 2, 952

2.

5 235

3.

8 408

4.

5.

2 978

3 966

c

)

7 1, 820

)

2 7,244

)

4 2,288

)

5 4, 235

)

8 7,776

Name Math Computation Skills and Strategies, Level 6 Saddleback Publishing, Inc. ©2006

d

)

9 6,642

)

)

6 3,174

)

7 5,733

)

3 1,872

)

4 3, 452

)

)

)

)

Date 71

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide With and Without Remainders Sometimes a number does not divide another evenly.The letter R stands for remainder.

3R1 310

Directions: Divide. Remember to write the remainder if there is one.

1.

2.

3.

4.

5.

a

b

6 55

)

5 326

)

4 1,380

)

7 7, 077

)

2 3,471

)

5 1, 050

4 79

3 81

9 125

8 900

c

)

6 2, 476

)

3 1,557

)

2 115

)

5 3,297

)

9 349

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

)

8 265

)

)

6 1,284

)

7 349

)

4 1,618

)

3 2,164

)

)

)

)

Date 72

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals To divide a decimal, first place a decimal point in the quotient above the decimal point in the dividend. Add a zero if needed to hold a place. 10.1 5 50.5

. 5 50.5

If there is no decimal point in the dividend, but there is one in the divisor, add a zero to the dividend for each place value after the decimal point in the divisor. 100 5.12 51,200

5.12 512

)

Directions: Divide. a

b

c

d

1.

6 3.6

710.5

41.6

416.4

2.

3 9.3

8 0.64

0.02 76

0.5 320

3.

0.2 98

0.06 48

0.7147

0.3 0.0012

4.

0.05 75

0.9 360

61.44

8 3.68

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 73

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals by Decimals If both the dividend and divisor are decimal numbers, count the decimal places in the divisor. Move the decimal in both the divisor and the dividend to the right by that amount. Add zeroes if needed.

0.05 7.5

150 5) 750 5 25 25 00

Directions: Divide. a

b

c

1.

0.6 8.4

8 6.4

0.8 7.2

2.

0.31.44

0.061.56

0.061.5

3.

7 0.35

0.3 2.73

418.2

Directions: Use what you know about dividing decimals to solve this word pro bl e m s . 4 . Mariah and her dad were building shelves in the garage.The wood was 10.5 feet long. If they cut the wood into 4 boards, how long would each board be?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 74

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Remainders into Decimals Add a decimal after the ones place in the quotient and continue to divide.

Directions: Divide completely. Round any repeating decimals to the nearest tenth. a

b

c

d

1.

4 79

8 900

4 62

3 992

2.

3 81

2 3,471

5 326

5 5, 003

3.

9125

5105

2 7,134

6 668

4.

5 326

6 2, 476

)

9 349

6195

5.

4 5, 817

)

8 965

5 217

)

)

)

5 8,356

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

)

Date 75

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide by Two Digits To divide by two-digit numbers, use the same steps as dividing by one-digit numbers. Directions: Divide. a

b

c

d

1.

12 444

50 451

25 325

30 813

2.

35 735

42 210

40 600

54 1,674

3.

17153

11555

39 936

71 4, 760

4.

80 480

23 322

17 750

62 3, 224

5.

18 992

25 5, 003

24 660

12 843

)

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

)

)

)

Date 76

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Up to Six Digits by Two Digits Divide larger numbers using the usual strategy—do one step at a time.

Directions: Divide. a

b

c

1.

13 2990

55 3025

2314,766

2.

271242

74 34,500

82 20, 420

3.

3219,872

1813, 086

15 315,153

4.

49 2450

65 280,813

47 274,809

5.

3319,140

40 93,640

84 21,504

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 77

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Integers Here are the rules for dividing integers.

A positive integer divided by another positive integer is always a positive. A negative divided by a positive or a positive by a negative, you always get a negative integer. 125 ÷ -5 = -25 Divide a negative integer by a negative, and you always get a positive. -230 ÷ -10 = 23 Directions: Write P if the quotient is positive, N if it is negative. a

1 . 196 ÷ -14 =

c

b

-135 ÷ 3 =

-108 ÷ -12 =

d

-135 ÷ 3 =

Directions: Divide. S h ow your work. Remember to watch the signs. a

b

c

2 . 196 ÷ -14 =

-108 ÷ -12 =

-135 ÷ 3 =

504 ÷ 9 =

3 . 624 ÷ -8 =

-1246 ÷ -7 =

-852 ÷ 12 =

5,166 ÷ -9 =

4 . -108 ÷ -18 =

-88 ÷ 11 =

-340 ÷ 5 =

-1,525 ÷ -25 =

5 . -3817 ÷ 11 =

952 ÷ -56 =

-198 ÷ -9 =

77,112 ÷ -36 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

Date 78

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Use your multiplication and division skills to solve these real-life problems.

Directions: S o l ve . S h ow your work. 1 . Each week over the summer, Lucas made $180 at his job at a doctor's office. If he worked for 11 weeks, how much did he make that summer?

2 . If Lucas worked 30 hours each week, and he worked 6 hours each day, how much did he make per hour?

3 . Lucas worked for 3 hours on a Sunday and made twice his hourly rate. How much did he earn for working on Sunday?

4 . Jenna had worked at the office longer than Lucas. She made $6.25 an hour. If Jenna worked 5 hours a day, how much did she make every day?

5 . A parking garage nearby charges $6.25 to park for a day. If 5 people carpool and split the cost of parking, how much does each person chip in?

6 . Lunch costs $2.50 per day. How much will Lucas and Jenna pay altogether for their lunches for 5 days?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 79

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s You have all the skills you need to solve these word problems.

Directions: Write an equation, then solve. 1 . Jacqui knows that the tree in front of her house is 13.5 feet tall. Since there are 12 inches in a foot, she says that the tree is 162 inches tall. Is she correct? Write the multiplication equation Jacqui used and a division problem to check her multiplication.

2 . Jacqui buys 25 pounds of birdseed for $5.50. How much is the seed per pound?

3 . Garrett sells his onions for $.35 per pound. If he sold 1,254 pounds that year, how much did he make for his family?

4 . Jacqui put out a birdfeeder on her tree with perches for 8 birds at a time. If she counted 67 birds making trips to her feeder, how many turns did the birds have to take to sit on a perch?

5 . Garrett's dad had 9,500 pounds of fertilizer to spread over their 400 acres of land. How much fertilizer would they use on each acre?

6 . Jacqui estimates that the tree in her garden has about 45 branches and each branch has 850 leaves. How many leaves would Jacqui estimate her tree has?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 80

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Multiplication and Division Use what you know about multiplication and division.

Directions: S o l ve. S h ow your work. a

b

c

1.

342 2

38 7

0.3198.3

12146

2.

603 52

911 3

8 41

24 864

3.

48

8,437 5

2 70

3 61

4.

47 62

74.9 6

13 936

5 36.5

5.

6 342

3.25 2.5

6 90

0.5 243.5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

Date 81

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Multiplication and Division Look at how much you've learned!

Directions: S o l ve. S h ow your work. a

c

b

1 . -5 x 11 =

11 x 10 =

2 . -6 x -12 =

3 . 13 x -7 =

d

600 ÷ -30 =

-144 ÷ -12 =

-80 x -70 =

-1,400 ÷ 5 =

160 ÷ -80 =

-900 x 12 =

3,300 ÷ 10 =

-65 ÷ 13 =

Directions: Write the prime factorization of these numbers. a

b

c

d

4 . 16

37

60

81

5. 8

15

35

94

Directions: Write the letter of the matching equation, then solve . A. 80 x 31 =

B. 3,770 ÷ 104 =

C. 3,770 ÷ 99 =

D. 80 x 3.1 =

6 . If Gilbert School has 3,770 students and 99 classes at once, how many students are in each class?

7 . Last year, each class at Gilbert had exactly 31 students.There were 80 teachers there, so how many students attended last year?

8 . This year, Gilbert has 104 teachers. If each teacher has a home room for the 3,770 students, about how many students are in each?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 82

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dding With Like Denominators To add fractions with like denominators, simply add the numerators.To add mixed numbers, add fractions first, regroup if needed, then add the whole numbers. Directions: A dd . Remember to reduce fractions to simplest terms. a

b

1.

1 1 + = ____ 2 2

5 1 + = ____ 8 8

2.

3 2 + = ____ 4 4

3 3 + = ____ 10 10

3.

2 2 + = ____ 5 5

1 3 + 6= ____ 2

4.

3 6 + = ____ 7 7

1 3 +1 = ____ 16 16

5.

1 2 3 + = ____ 3 3

2 2 6 + = ____ 3 3

6.

1 1 2 +1 = ____ 6 6

1 1 7 + = ____ 2 2

7.

3 1 2 + 2 = ____ 5 5

5 6 + = ____ 8 8

8.

2 2 4 + 3 = ____ 3 3

4 5 + = ____ 9 9

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 83

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dding With Unlike Denominators To add fractions with unlike denominators, convert fractions using the least common multiple of the denominators. Directions: A dd . Remember to reduce fractions to simplest terms, if needed. a

b

1.

2 1 + = ____ 5 2

1 1 2 + = ____ 10 2

2.

1 5 + = ____ 3 6

5 1 + 2 = ____ 3 6

3.

3 3 + = ____ 8 16

1 6+ 7 = ____ 4

4.

1 2 + = ____ 3 7

2 1 5 +1 = ____ 9 5

5.

1 2 + = ____ 6 9

1 3 3 + = ____ 4 4

6.

3 1 + = ____ 7 6

2 1 8 + 3 = ____ 3 7

7.

1 3 + = ____ 2 8

1 2 5 + 2 = ____ 2 3

8.

2 4 + = ____ 3 5

3 1 + 3 = ____ 8 2

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 84

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtracting With Like Denominators To subtract fractions with like denominators, simply subtract the numerators.To subtract mixed numbers, subtract fractions first, borrowing from the whole number if needed.Then subtract the whole numbers. Directions: Subtraction. Remember to reduce fractions to simplest terms. a

c

b

1.

2 1 = ____ 3 3

13 8 = ____ 15 15

5 1 = ____ 6 6

2.

4 2 = ____ 5 5

3 1 = ____ 4 4

7 5 = ____ 8 8

3.

7 5 = ____ 8 8

5 2 = ____ 9 9

1 1 = ____ 2 2

4.

3 5 5 2 2 5

1 2

6 3

3

1 2

5.

2 7 6 7 7

2 3 1 1 3

1 4 3 2 3 3

6.

4

2 8 3 1 8

2 5 4 2 5

8

2 3

2

4

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

7

Date 85

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S ubtracting With Unlike Denom inators To subtract fractions with unlike denominators, convert to fractions using the least common multiple of the denominators. Directions: Subtract. Remember to reduce fractions to simplest terms, if needed. a

b

c

1.

6 1 = 7 5

3 1 = 8 3

9 2 = 10 7

2.

3 1 = 4 2

7 1 = 9 4

5 2 = 6 9

3.

4 1 = 5 3

2 1 = 3 2

13 2 = 16 3

4.

1 5 2 1 2 4

1 8 3 1 5 2

4 3 8

5.

3 5 3 1 4

5 1 9 6 9

1 2 4 2 8

6.

4 9 2 3 3

3 4 1 1 3

1 3 3 1 1 5

2

6

2

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

7

Date 86

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Positive and Negative Fractions Here are the rules for adding and subtracting positive and negative fractions.

The sum of two negative fractions is always negative. 3 + 4

1 = 2

5 1 = 1 4 4

Adding a negative fraction to a positive is like subtracting. It can be positive or negative, depending on which digit is greater.

5 1 1 + = 6 3 2

1 1 3 + = 2 5 10

Subtracting a negative fraction is like adding. 1

1 1 =1 4 4

Directions: Write P if the answer is positive or N if the answer is negative. a

1.

7 1 = ____ 8 2

1 4

2.

7 + 8

3.

2 1 + = ____ 3 4

1 = ____ 2

c

b

2 + 5

2 = ____ 3

6 + 7

1 = ____ 8

2 1 = ____ 5 8

1 8

3 = ____ 8

1 = ____ 2

3 + 10

3 = ____ 5

Directions: S o l ve. a

b

4.

7 1 = ____ 8 2

1 4

5.

7 + 8

6.

2 1 + = ____ 3 4

1 = ____ 2

2 + 5

2 = ____ 3

1 = ____ 8

2 1 = ____ 5 8

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 87

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Multiplying Fractions When you multiply fractions, multiply the numerators and then the denominators.

Directions: Multiply. Remember to reduce or express products in simplest form. a

b

c

1.

3 1 = ____ 4 3

1 10= ____ 4

7 3 = ____ 10 12

2.

1 2 = ____ 5 9

2 1 = ____ 9 2

8 1 = ____ 9 3

3.

3 1 = ____ 7 2

1 9= ____ 8

3

4.

1 3 = ____ 3 4

2 2 = ____ 3 5

1 3 = ____ 4 4

5.

3 1 = ____ 8 4

5 1 = ____ 6 10

5 2 = ____ 16 3

6.

4 3 = ____ 5 8

7 7 = ____ 8 8

1 2= ____ 8

7.

3

2 = ____ 3

1 3 = ____ 6 4

5 3 = ____ 6 4

8.

1 4= ____ 5

3 = ____ 7

4 3 = ____ 5 4

7

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

2 = ____ 7

Date 88

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplying Fractions A shortcut when multiplying fractions is to cancel out compatible numbers when they occur. 1

3 51 1 = 5 15 155

Directions: Multiply. a

b

c

1.

2 5 = ____ 5 8

2 1 = ____ 3 2

7 1 = ____ 8 3

2.

1 8 = ____ 4 9

4 2 = ____ 10 5

8

3.

2 9 = ____ 3 10

10

4.

1 4 = ____ 2 5

1 9 = ____ 3 10

7

5.

3 3 = ____ 5 7

2 1 = ____ 5 3

2 6 = ____ 3 7

6.

2 6= ____ 3

7 3 = ____ 8 4

4 2 = ____ 5 5

7.

4

5 = ____ 6

3 8= ____ 4

2 = ____ 3

12

1 = ____ 4

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3 = ____ 16

3 5 = ____ 10 9 1 = ____ 4

Date 89

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Mixed Numbers When multiplying mixed numbers, convert them to improper fractions first. Remember to cancel out compatible numbers when you can. Directions: Multiply. a

b

c

1.

1 1 3 = ____ 3 2

2 9 4 = ____ 3 10

1 1 1 = ____ 5 10

2.

1 3 1 = ____ 4 4

4 2 7= ____ 5

6 5 2 = ____ 7 7

3.

3 4 8= ____ 8

2 7 4 = ____ 5 9

1 31 = ____ 3

4.

1 6 = ____ 3

1 1 1 = ____ 7 2

1 2 2 = ____ 5 9

5.

1 9 2 = ____ 4

5 2 2 = ____ 8 3

1 2 3 = ____ 3

6.

2 5 2 = ____ 3 8

1 1 1 4 = ____ 3 5

1 4 6= ____ 4

7.

1 1 3 = ____ 2 2

1 1 3 = ____ 2 3

2 1 5 3 = ____ 3 9

8.

1 1 2 2 = ____ 3 4

1 6 3 = ____ 4

2 3 8 3 = ____ 5 7

9.

2 7 3= ____ 5

1 5 3 = ____ 2

9 3 5= ____ 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 90

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Dividing Fractions Dividing by a fraction is the same as multiplying by the divisor's reciprocal.

1 1 1 4 4 2 ÷ = = = =2 2 4 2 1 2 1

Directions: R ewrite each division pro blem as a multiplication p ro blem using the divisor's reciprocal.Then solve . a

b

1.

1 18÷ = ____ 3

3 1 ÷ = ____ 5 10

2.

2 2 ÷ = ____ 3 3

5 2 ÷ = ____ 9 3

3.

5÷

1 = ____ 2

9 1 ÷ = ____ 10 2

4.

5÷ 2= ____

3 2 ÷ = ____ 4 3

5.

4÷

1 = ____ 8

1 1 ÷ = ____ 2 2

6.

1 ÷ 8= ____ 4

1 1 ÷ = ____ 2 3

7.

2 1 ÷ = ____ 7 2

3 2 ÷ = ____ 4 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 91

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Dividing Fractions You can use the shortcut of canceling compatible numbers when dividing fractions, too. Directions: R ewrite each division pro blem as a multiplication p ro blem using the divisor's reciprocal.Then solve . a

b

1.

1 1 ÷ = ____ 3 12

2.

3÷

3.

4 ÷ 2= ____ 5

3 ÷ 7= ____ 7

4.

4 1 ÷ = ____ 5 2

4 1 ÷ = ____ 5 2

5.

1 ÷ 3= ____ 3

2 1 ÷ = ____ 9 4

6.

3÷

1 = ____ 3

2 ÷ 4= ____ 9

7.

1 1 ÷ = ____ 2 2

8÷

8.

1 1 ÷ = ____ 2 8

1 3 ÷ = ____ 8 4

3 ÷ 3= ____ 8

1 = ____ 12

2 2 ÷ = ____ 15 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3 = ____ 4

Date 92

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Mixed Numbers When dividing mixed numbers, convert them to improper fractions first.

Directions: Divide. a

b

1.

1 4 ÷ 2= ____ 2

1 3 ÷ 5= ____ 5

2.

1 3÷1 = ____ 3

1 1 8 ÷ = ____ 6 6

3.

1 1 9 ÷ = ____ 5 10

2 9÷ 3 = ____ 3

4.

4 2 ÷ 2 = ____ 7 7

5 3 5 ÷ = ____ 8 7

5.

1 18÷ 2 = ____ 3

3 4 ÷ 3= ____ 4

6.

1 3 ÷ 5= ____ 8

5 5 ÷ 2 = ____ 6 16

7.

3 1 2 ÷ = ____ 4 2

1 6÷ 4 = ____ 2

8.

3 1 ÷ = ____ 7 3

4 1 4 ÷1 = ____ 5 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 93

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Positive and Negative Fractions Here are the rules for multiplying and dividing positive and negative fractions.

When you multiply or divide two positive fractions, the answer is always positive. When you multiply or divide two negative fractions, the answer is always positive. When you multiply or divide a negative by a positive or a positive by a negative, the answer is always negative.

Directions: Write P if the answer is positive or N if the answer is negative. a

1.

2.

3 1 = ____ 4 3

1 ÷ 5= ____ 10

c

b

2 3

8÷

3 = ____ 4

1 = ____ 2

1 8

1 = ____ 2

1 2 ÷ = ____ 6 3

Directions: Multiply or divide. a

3.

4.

1 ÷ 5= ____ 10

5.

1 1 ÷ = ____ 3 6

6.

3 1 = ____ 4 3

6÷

2 = ____ 5

2 3

8÷

1 2 ÷ = ____ 4 3

5 8

3 = ____ 4

1 = ____ 2

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

c

b

5 = ____ 6

1 8

1 = ____ 2

1 2 ÷ = ____ 6 3

6

2 ÷ 3

2 = ____ 5

2 = ____ 3

Date 94

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Multiplication problems often involve putting together sets of equal numbers. Division word problems often involve splitting up a group into equal parts. Directions: S o l ve.

1 1 . In learning the martial art of judo, Brian practiced for 1 hours a day. 2 1 Almost of that time was spent working on throws. How much of his time 4 did he work on throws?

1 2 . Brian also needs to lift weights. For each hour Brian spends lifting weights, 2 1 he needs to spend more practicing judo. How much time does he need to 4 1 spend practicing judo for each hour he weight-lifts? 2

3 . At judo practice, they worked on striking for about 2 hours a week.This is 2 about the amount of time they spend on arm locks. How much time do 5 they spend on arm locks?

1 1 4 . Brian worked out for 2 hours one day. For of the time, he did weight4 3 lifting. How much of the time did he weight-lift?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 95

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Now for some real-world fraction problems. Directions: Write the letter of the equation that matches each word pro bl e m .Then solve. Remember to label your a n swers. A.

3 1 = ____ 4 2

C.

1 8 ÷ 4= ____ 2

B.

1 3 3 ÷1 = ____ 2 4

D.

1 8 4= ____ 2

1 3 1 . Molly does karate. She broke a 3 foot board into 1 pieces. How 2 4 many pieces did she make? 1 2 . Molly works out 8 hours each week. If she works out 4 days a week, 2 how many hours does she work out each day? 3 3 . Molly helped her mom cook dinner. Molly chopped cup of onion, but 4 1 then only used of what she cut up. How much onion was used? 2 4 . Molly is 4 feet tall. She calculated that if spread out in a line, the onion would be 81 times taller than she is. How tall would the onion be? 2 Directions: Write a multiplication word and a division word pro bl e m using fractions or mixed numbers.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 96

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Fractions Make sure to watch the signs so that you perform the correct operation!

Directions: S o l ve. a

b

c

1.

2 2 + = ____ 3 3

1 5 1 = ____ 6 6

1 1 = ____ 2 3

2.

3 1 + = ____ 5 5

4 1 = ____ 7 3

1 1 3 = ____ 4 5

3.

7 3 +1 = ____ 8 8

2 3 + = ____ 9 5

5 1 ÷ = ____ 6 3

4.

3 1 + = ____ 4 2

3 2 = ____ 4 3

1 1 ÷ = ____ 4 2

5.

7 2 = ____ 9 9

2 3 = ____ 3 4

1 1 1 ÷ = ____ 3 6

6.

4 2 = ____ 5 7

1 2 ÷ 3= ____ 6

3 8 = ____ 4 9

7.

2 5 4 +4 5

3 1 4 1 +5 2

2 3 3 +2 5

3 7 6 2 7

1 5 3 6 4

8.

2

3 1 1 3

2

6

7

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 97

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Fractions Now you can solve fraction problems in half the time.

Directions: S o l ve. a

b

1.

2.

1 + 4

3 = _____ 4

2 3

3.

1 3

1 = _____ 6

1 3 + = _____ 4 4

1 ÷ 3

c

5 = _____ 8

2 = _____ 3

5 1 + = _____ 7 2

5 ÷ 4= _____ 6

1 3 1 = _____ 3

4 + 5

1 = _____ 2

Directions: Write the letter of the matching equation, then solve . Remember to label your answers and show all your work. A.

1 1 ÷ 2 3

B.

2 1 3 4

C.

1 1 1 2 2

D.

1 1 ÷8 2

2 1 of a can of paint. It took of what she used to paint 3 4 her favorite chair. How much of the paint did it take to paint the chair?

4 . Sierra used

1 5 . Sierra makes her own dye. She only has enough henna leaves to make cup 2 1 of dye, the amount she wants to make. How much does she want to make? 3 1 6 . Sierra has 1 cups of dye. If she dyes 8 shirts, how much dye can she use 2 on each? 1 1 7 . Sierra spent 1 hours working on her art today. She spent the time 2 2 working with fabric. How much time was that? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 98

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Order of Operations To solve any equation, perform the operations in the order given below.

3 (4 + 6) + 2 – 3 = ? operations in parenthesis 3 (10) + 2 – 3 = ? multiplication or division from left to right 30 + 2 – 3 = ? addition or subtraction from left to right 32 – 3 = 29 Directions: Follow the order of operations to solve each equation. S h ow your work. a

b

c

1 . 3 x 4 + (6 + 2) – 3 = ?

81 ÷ (9 + 7 + 2 +9) = ?

(3 x 20 + 4) x 20 = ?

2 . (1 + 9) + 3 x 3 = ?

81 ÷ 9 + (7 + 2 + 9) = ?

5x9–5x4=?

3. 8 – 6 ÷ 3 – 2 = ?

(6 x 40) + 50 = ?

5 x (9 – 5) x 4 = ?

4. 5 + 3 x 6 + 1 = ?

6 x (40 + 50) = ?

5 x (9 – 5 x 4) = ?

5 . (5 + 3) x (6 + 1) = ?

6 x 40 + 50 = ?

(7 +3) x 2 + 9 = ?

6 . (5 +3) x 6 + 1 = ?

3 x 20 + 4 x 20 = ?

7 +(3 x 2) + 9 = ?

7 . 81 ÷ 9 + 7 + 2 + 9 = ?

3 x (20 +4) x 20 = ?

7 + 3 x (2 + 9) = ?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 99

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Equations An equation is a math sentence with equal amounts on both sides of an equals sign. A variable often stands for an unknown amount.

1 the size of a real car. 24 If the headlights on the actual car are 3 inches tall, how tall are they on the R/C car? h stands for the height of the headlight 3 1 = h 24 3 The headlights on the R/C car =h 24 1 are inch tall. 1 8 =h 8 Pete has a radio-controlled (R/C) car that is

Directions: S o l ve. 1 . Pete has another R/C car with a wing on the back that is 2 inches long. If the car itself is 28 times larger than the R/C car, how large is its wing? 2 . To run his R/C cars, Pete charges his batteries for 15 minutes to get 10 minutes of running time. About how much charging time does it take to make a minute of running time? 3 . Pete added up the value of the R/C cars he owned. He owned 5 R/C cars that cost around $20. He owned 3 R/C cars that cost around $50. He owned 1 R/C car that cost $150.What is the total value of Pete’s R/C cars? 4 . For his birthday Pete's folks gave him $25. His grandpa gave him $5. Pete 1 used of his birthday money to buy parts for his R/C cars. How much did 3 he spend on car parts? 5 . With the motor it came with, one R/C car can go up to 18 miles an hour. With another motor, the car can go up to 25 miles an hour.What percent does the slower motor do compared to the faster? (Remember, to find percent, multiply by 100.)

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 100

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Equations To solve equations, first perform all calculations. Then isolate the variable using inverse operations. Whatever you do to one side of the equation, you must do to the other side. 5x – 1 ⫽ 29

t⫹t⫹t⫽6

5x –1 ⫹ 1 ⫽ 29 ⫹1 5x ⫽ 30

3t ⫽ 6 3t ÷ 3 ⫽ 6 ÷ 3

5x ÷ 5 ⫽ 30 ÷ 5 x⫽6

t⫽2

Directions: Use inverse operations to solve the equations. S h ow your work. a

b

c

1 . 4n ⫽ 28

j ⫹ j ⫹ 3 ⫽ 11

h ⫺9 ⫽ 17

2. x ⫺ 3 ⫽ 7

5 ⫹n ⫽ 12

65 ÷ p ⫽ 5

y 3. 3 = 4

6f ⫺ 4 ⫽ 5f

f

4. 8 ⫹ z ⫽ 0

9 ⫽ 2t ⫹ 3

3q ⫺q ⫽ 14

5 . 3k ⫽ 36

y ÷ 8 ⫽ (y ⫹ 2) ÷ 9

c2 ⫺ 3 ⫽ 61

6 . m ⫹ 6 ⫽ 18

14 ⫽ ⫺k

5t ⫺ 2t ⫽ 15

7 . 2x ⫹ 2 ⫽ 20

2z ⫽ 9 ⫺ z

13 ⫺ m ⫽ m ⫹1

n 8 . 4 +1=17

72 ÷ r ⫽ 24

4x ⫽ x ⫹ 9

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1 =6 2

Date 101

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Inequalities An inequality is a math sentence that compares two unequal sets. An inequality may have more than one solution. < >

less than or fewer than greater than or more than

Mitch won an award for getting over 30 home runs in his softball league. h ⬎ 30 The equation doesn't tell if Mitch got 31 home runs or 100. But both of those numbers are possibilities since each number is greater than 30. Directions: S o l ve the inequalities as you would an equation. S h ow your work. Give two examples of numbers that would make the inequality true, if possibl e. a

b

1 . 3x ⬎ 3

8z ⫹4 ⬎ 60

2 . 3x ⬍ 3

⫺1 ⬍ j ⬍ ⫺22

3 . 6y ⬎ 30

5n ⬎ 70

4 . 10n ⫹ 6 ⬍ 46

7x ⫺ 4x ⬍ 24

5 . 6m ⫹ 6 ⬎ 24

(w ⫹6) x 2 ⬎ 16

6 . 10k ⫹ 10 ⬍ 80

42 ⬍ 7k

7 . 13 ⬍ w ⬍ 43

p ⫺ 5 ⬍ 14

8 . x2 ⫹ 2 ⬎ 51

4t ⫹ 3t ⫹ 2 ⬎ 23

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 102

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Equations Now you can solve anything!

Directions: S o l ve the equation or inequality. a

1 . 2n ⫽ 6

b

c

2g ⫹ 13 ⫽ 23

45 ÷ x ⫽ 15

8

1 =4 z

2 . ⫺x ⬎ 5

26 ⫺ 4 x ⫽ 14

3 . 4m ⫹ 1 ⫽ 45

9 ⬎ 3m ÷ 2

v ⫺ 12 ⫽ 6

4 . 3k ⫺2 ⬍ 4

3n ⫹ 2 ⫽ 20

2 x 3 ⫹ 4 ⫺2 ⫽ n

5 . 4z ⫺3 ⫽ 17

5 ⫹x ⬎ 11

2 ÷ (3 ⫺2) ⫽ n

6 . 2j ⫹3 ⫽ 5j

2y ⫹1 ⫽ 3

8⬎n⫺2

Directions: Write the equation or inequality, then solve. 7 . Leah is 12 and her brother Cory is two years older than half her age. How old is Cory? 8 . Leah is 12, her mother is three times her age. How old is her mother? 9 . Leah knows it isn't polite to ask her grandmother how old she is. She thinks her grandmother is older than fifty-five years old. How old is her grandmother? 10. Leah is 12. In 5 years, her dad will be four times her age. How old is her dad? 11. Leah's grandmother told her that she'd started dating after she was six years older than Leah. How old was Leah's grandmother when she started dating?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 103

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt T i m e You can multiply, divide, and convert using units of time.

Directions: Fill in the blank. S h ow your work. a

b

2 . A half day is

hours.

3 . A quarter hour is

hours. minutes

6 . 4 days =

8 . 8 days = 9.

minutes hours hours

1 min = 12 hours 2 3 days =

hours = 285 minutes

hours minutes = 168 hours

hours

days

168 hours =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

days

1 hour = 3 1 2 days = 2

minutes hours

1 10. 6 days = 2

156 hours =

150 min =

hours

7 . 6 1/2 hours =

minutes

days = 42 hours

minutes.

4 . A quarter of a day is 5 . 3 hours =

1 2 hours = 4

minutes.

1 . A half hour is

Date 104

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dd and Subtract T i m e When regrouping time units, remember to convert the units into the correct amount. 3 hours 5 minutes 45 minutes

2 hours 65 minutes 45 minutes 2 hours 20 minutes

Directions: A dd or subtract, re g rouping when needed. a

b

c

1.

4 hours 35 minutes + 2 hours 35 minutes

5 days 6 hours - 3 days 3 hours

4 days 18 hours + 1 day 7 hours

2.

17 hours 20 minutes - 5 hours 40 minutes

6 hours 50 minutes + 3 hours 10 minutes

7 days 4 hours - 6 days 16 hours

3.

4 days 6 hours - 2 days 12 hours

5 days 7 hours + 2 days 18 hours

6 days - 3 days 9 hours

4.

8 days 13 hours + 2 days 7 hours

4 days 2 hours - 2 days 3 hours

6 days 18 hours + 3 days 18 hours

Directions: Write the equation, then add or subtract. 5 . The football game lasted four hours from start to finish.The halftime show was twenty-five minutes long. How long was the game itself?

6 . The football team was counting down until they left for the state championship.They would leave in 3 days, 12 hours. It would be another 16 hours before the big game.When would the big game start?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 105

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Temperature The U.S. measures temperatures using the Fahrenheit scale. On this scale, water freezes at 32° and boils at 212°. Directions: Write the temperature using the label °F after the nu m b e r. 1.

a

b

c

d

Directions: S o l ve. 2 . The temperature outside dropped so that water in a small birdbath froze. How cold was it?

3 . The temperature in a boiling pot of water was 220°F. It cooled just enough that it stopped boiling. How much did it cool down?

4 . The temperature was at the freezing level, then it went up 20 degrees. What was the temperature?

5 . In January the temperature was at the freezing level, but in May it was 52 degrees higher.What was the temperature?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 106

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Temperature The Metric system measures temperatures using the Celsius scale. On this scale, water freezes at 0° and boils at 100°.

5 F-32 = C 9

To convert Fahrenheit to Celsius, use this formula:

9 To convert Celsius to Fahrenheit, use this formula: ᎏ C + 32 = F 5 9 Hint:To multiply a number by , you can multiply using the fraction, you 5 can multiply by the decimal (1.8), or you can multiply by 9 then divide by 5.

Directions: Conve rt the temperature to the nearest degre e. a

c

b

1.

95°F =

°C

70°F =

°C

10°F =

°C

2.

25°C =

°F

-5°C =

°F

5°C =

°F

3.

68°F =

°C

5°F =

°C

-10°F =

4.

-18°C =

0°C =

°F

30°F =

°C

5.

10°C =

75°C =

°F

°F °F

°F

95°C =

°C

Directions: Write <, >, or = to show how the temperatures compare. a

c

b

6.

100°F

100°C

25°C

60°F

95°C

200°F

7.

32°C

32°F

-10°F

-10°C

212°F

100°C

8.

10°F

10°C

25°C

80°F

90°C

190°F

9.

5°C

45°F

100°C

35°F

0°F

10.

32°F

0°C

120°F

45°C

15°C

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

-15°C 50°F Date

107

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Weight Weight is measured in ounces, pounds, and tons.To find part of a unit of weight, divide.To find multiples of a unit of weight, multiply. oz = ounce lb = pound T = ton 16 oz = 1 lb 2000 lbs = 1 T

Directions: S o l ve. a

1.

1 lb = ____ oz 2 lb

2 . 32 oz = 3.

T = 1000 lb

4 . 5 lb =

oz lb

5 . 52 oz =

c

b

3T =

1 2 T = ____lb 2

lb

____lb =

1 T 4

oz = 3 lb oz

4.5 lb = 2 oz =

lb

1 ᎏ lb = 2

oz

1 5 T = ____lb 4 lb

12 oz = 1 ᎏT = 2

lb

Directions: Write <, >, or = to show how the weights compare. a

1 6 . 1 lb 2 7 . 4,000 lb 8 . 6 oz

c

b

24 oz 1 1 T 2 1 lb 2

5T

10,000 lb

9 oz

4 oz

1 lb 3

8,000 oz

1 T 2

500 lb

64 oz

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3 lb 4

1 T 4 3 lb

Date 108

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Weights The Metric system measures weight using grams (g) and kilograms (kg). A gram weighs much less than an ounce in the customary U.S. system. 1 oz = 28.35 g 1 lb = 453.59 g 100 lb = 45.349 kg

1 g = 1/28.35 oz 1 kg = 2.204 lb 100 kg = 220.46 lb

Directions: S o l ve.You may wish to round your answers. a

1 . 3 kg =

oz = 15 g

lb

1 2 . 4 oz = ____ g 2 3.

c

b

kg = 33,069 lb

4 . 50 kg =

lb

25 lb =

1,500 lb =

kg

500 kg =

lb oz

85 g =

kg

lb = 200 kg 30 oz =

g

1 2 lb = ____ g 2

Directions: Write <, >, or = to show how the weights compare. a

c

b

3 oz

5 . 50 lb

50 g

3,000 lb

6 . 30 oz

30 g

20 kg

20 lb

75 kg

20 kg

200 oz

1 1 oz ___ oz 2 2

7 . 3 kg

3 lb

3T

8. 3 g

3 oz

2T

2000 lb

9 . 3 lb

30 oz

5 kg

11 lb

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

142 g 100 lb

1 1 lb ___ lb 4 4 33 lb

16 kg

Date 109

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Customary Lengths The U.S. measures length using inches, feet, yards, and miles.

inch = in foot = ft yard =yd mile = mi

12 in = 1 ft 3 ft = 1 yd 5,280 ft = 1 mi

Directions: S o l ve. a

c

b

1.

1 mi = ____ yd

____ in =

3 ft 4

10 ft = ____ yd

2.

36 in = ____ ft

1 mi = ____ ft 2

30 in = ____ ft

3.

36 in = ____ yd

7,920 ft = ____ mi

5,280 ft = _____ yd

8 ft = ____ yd

3 mi = _____ yd

4. 5.

1 5 ft = ____ in 2 1 mi = ____ ft 3

____ ft =

3 mi 4

1 mi = ____ yd 2

Directions: Write <, >, or = to show how the lengths compare. a

1 ft 2

6.

24 in ___ 2

7.

6 ft ___ 2 yd

8.

2 mi ___ 10,000 ft

9.

1 1 yd ___ 4 ft 3

10.

40 in ___ 1 yd

b

c

30 yd ___ 30 ft

1 1 mi ___ 7,500 ft 2

1 1 mi ___ 8,000 ft 2 1 18 in ___ 1 ft 2 1 yd 3 1 15 in ___ 1 ft 3 18 in ___

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

9 yd ___ 27 ft

1 2,000 yd ___ 1 mi 2 4 mi ___ 20,000 ft

3 in ___

1 ft 4

Date 110

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Metric Lengths The Metric system measures length using centimeters (cm), meters (m), and kilometers (km). A centimeter is shorter than an inch and a kilometer is shorter than a mile. A meter is a little longer than a yard. 1 1 1 1

in = 2.54 cm ft = 0.3048 m yd = 0.9144 m mi = 1609 m

1 cm = 0.3937 in 1 m = 39.37 in 1 km = 0.621 mi

Directions: S o l ve.You may wish to round your answers. a

c

b

1 . 3 in =

cm

2 . 3 ft =

m in

3 . 10 cm =

yd = 5 m

12 in =

cm in

4m=

in

5 cm =

7 ft =

m

1 ft = ____ m 2

1 4 . 1 mi = ____ m 2

km = 1.5 m

mi

5 km =

Directions: Write <, >, or = to show how the lengths compare. a

5 . 30 in

30 cm

1m

6 . 30 in

3 ft

1 804 m 2

7. 3 m

3 km

2 in

8. 1 m

1 yd

2m=

9 . 2 km

c

b

1m

6 in

50 in

1 mi 2 6 cm 70 in 60 cm

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

6m

6 ft

6m

6 yd

10 km

5m

10 cm

5 in

10 m

5 yd

Date 111

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Look back in the book to find conversion tables, if you need help.

Directions: Write the equation, then solve. Remember to label your answers and show all your work. 1 . The movie Hunter is watching is 110 minutes long. How many hours and minutes is that?

2 . It took Hunter one and a half hours to do his homework. It took his little sister, Lisa, forty-five minutes to do hers. How much longer did it take Hunter to complete his homework?

3 . The temperature outside dropped to freezing.Then it went down another four degrees Fahrenheit.What was the temperature?

4 . Hunter heated a pot of water until it boiled.Then it got ten degrees hotter still. On the Fahrenheit scale, how hot was the water?

5 . How hot is boiling water using the Celsius scale?

6 . Lisa compared her braid with her friend’s. Lisa’s braid is one foot long, her friend’s is thirteen inches long.Whose is longer?

7 . Lisa got

3 pounds of bananas at the store. How many ounces is that? 4

1 8 . One bag of grapes was 1 pounds, another was 24 ounces.Which bag 2 was heavier?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 112

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Blake wrote his pen pal Budi in Indonesia.When Budi replied, Blake had to convert the measurements to understand how they compared. Directions: Read the parts of the letters and do the conversions to help Blake compare the measurements properly. Hi Budi, We're fine here in Iowa. It is almost winter and it is 40°F. Brrr. But I only have 1 to walk mile to school, so I don't have to go too far. 4 Last month was the county fair. I saw a pumpkin that grew to be 50 pounds! Do you have pumpkins there? I think about what you are doing when I am writing. Since it is daytime here, it is nighttime there.You must be asleep. Sleep well, my friend, Blake Hello Blake, I am glad you are well. It is 30°C here. It is always that temperature unless you live in the mountains. How hot and cold does it get where you live? My school is 2 km away. Sometimes I walk and sometimes my mother drops me off on her motor scooter on her way to work. I saw a pumpkin once.They can grow them in the mountains. It weighed about 2 kg. We have vegetables like carrots, onions, and peppers. But I grew a pineapple last year that was over 3 kg! Do you have pineapples there? 1 I think we must be exactly a day off of each other! It is funny to think that 2 I have a friend exactly half way around the world from me! Mari (bye), Budi

1 . Which place is warmer - Iowa or Indonesia? 2 . Who lives closer to his school - Blake or Budi? 3 . How heavy was the pumpkin Budi saw (in pounds)? 4 . How heavy was Budi’s pineapple? 5 . How many hours is half a day?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 113

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Name Lines Who knew a simple line had so many properties?

Directions: Study the diagram below and answer the questions.

1 . Name two lines.

2 . Name two line segments.

3 . Name two rays.

4 . Name two sets of perpendicular lines.

5 . Name the two sets of parallel lines.

6 . Name two points on line AB.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 114

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Identify Angles Angles are the measure of turning where two lines meet.

Directions: A n s wer the questions.

1 . Which two shapes have acute angles?

2 . Which two shapes have right angles?

3 . Which shape has obtuse angles?

4 . Which shapes have straight angles?

5 . Draw a shape to show each type of angle. Label it with the shape name and the angle name.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 115

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Angles Two angles whose sum is 90° are called complementary. Two angles whose sum is 180° are called supplementary. Directions: A n s wer the questions.

1 . Name 2 sets of supplementary angles. 2 . Name 2 sets of complementary angles. 3 . What is the measure of angle D? 4 . What type of angle is angle D? 5 . What is the measure of angle K? 6 . What type of angle is angle K? 7 . What is the measure of angle L? 8 . What type of angle is angle L? 9 . What is the measure of angle B? 10. What is the measure of angle M?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 116

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Triangles Three types of triangles are shown.The angles in any triangle always add up to 180°. The angles in any triangle always add up to 180°. right

Directions: Label the triangle type and write in its missing angle. 1.

2.

3.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 117

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Perimeter Perimeter is the distance around a shape. Find perimeter by adding the length of each side.

2 + 3 + 3 + 1 = 9 ft

Directions: Find the perimeter for each figure. Label your answe r. a

b

1.

2.

3.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 118

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Circ u m fe rence Circumference is the distance around a circle.

Pi ( ) is often used when measuring circles. Use the number 3.14 for pi. To find circumference use the formula: C = d

Directions: Find the circ u m fe rence. a

b

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 119

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find A reas of Triangles To find the area of a triangle, multiply length by height and divide in half.

To find the missing side of a right triangle, use the formula: a2 + b2 = c2 Side c is always the side opposite the right angle.

Directions: Find the missing side and the area for each triangle. a

b

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 120

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find A reas of Parallelog r a m s Area is the space inside a figure.

If the four-sided figure has all right angles, simply multiply the length times width to find area.

Directions: Find the perimeter and the area for each figure . S h ow your work. a

b

1.

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

2.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 121

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find A reas of Circles To find the area of a circle, use the formula: A =

r2

The radius (r) is a line from any point on a circle to its center. The radius is half the length of its diameter.

Directions: Find the radius and the area for each circle. Use 3.14 for

a

.

b

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 122

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Surface A re a s Surface area is all the outside area of a three-dimensional figure.To find surface area, find the area of each face, then add to get the total. Remember that some faces may be hidden from view! Directions: Find the surface area for each figure. S h ow all your work. 1.

front: top: bottom: back: left side: right side: Total surface area:

2.

front: top: bottom: back: left side: right side: Total surface area:

3.

front: left side: right side: back: bottom: Total surface area:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 123

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Volumes Volume is how much space is inside a three-dimensional figure. Find volume by multiplying the area of the base times height. Directions: Find the volume or the missing dimension for each figure. a

b

1.

Volume:

Volume:

Volume:

Volume:

Volume:

Volume:

2.

3.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 124

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Hunter is visiting his great-aunt in another town. She gave him directions to the movie theater, but she didn't remember the names of the streets. Help Hunter find his way using the map and your knowledge of geometry.

Directions: Use what you've learned about ge o m e t ry to solve these word pro bl e m s . 1 . Hunter starts by going down First Street. Aunt Eva says that the theater is on the street parallel to First Street.What street is the theater on? 2 . At A Avenue, Aunt Eva said to take the street that made an acute angle. Which way should Hunter go? 3 . If the acute angle is 45°, what streets form the complementary angle? What is the measure of the complementary angle? 4 . What type of angles are at the intersection of First Street and B Avenue? What is the measure of each angle? 5 . Center Street, A Avenue, and Second Street form a triangle. If the angle at A Avenue and Center Street is 45° and the angle at A Avenue and Second Street are 90°, what is the measure of the last angle? What kind of triangle is it? 6 . Look at the Center St triangle.The Second St. leg is 3 miles long.The A Avenue leg is 4 miles long. How long is the Center St. leg?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 125

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Real people use real geometry.

Directions: S o l ve the word pro bl e m s . 1 . Jasmine is wrapping a gift. Find the circumference to find the length of ribbon she should use to wrap around the gift, find the surface area to find how much wrapping paper she needs, and find the volume to find the amount of styrofoam peanuts she needs for inside the gift. (Hint: to find the area of the long part of the cylinder, use the circumference of the circle as two sides and the height as the other two.)

4 in height Ribbon length:

Amount of wrapping paper:

Amount of styrofoam: 2 . Cory is helping his dad form a concrete patio. Find the missing dimensions from the perimeter given. Find the surface area to know how much paint they'll need and find the volume to know how much concrete they'll need. (Hint: they won't paint the bottom of the patio. Also, you'll need to convert the feet to inches, then back again when working with volume and surface area.)

Height: 2 in Perimeter: 34 ft

Missing side length:

Area to be painted:

Amount of concrete:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 126

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Geometry Geometry means earth measurements. Look how much ground you've covered! Directions: Study the diagram and answer the questions.

1 . What is the measure and type of angle A? 2 . What angle is adjacent to angle A? 3 . Name two lines that are not parallel. 4 . What type of triangle is the one that includes angle F? 5 . If angle C is 45°, what must the angle at the top of triangle BC be? 6 . If angle C is 45°, what must angle D be? 7 . Name a way angles C and D relate to each other. 8 . Name a way angles E and L relate to each other. 9 . Which line shows a ray? 10. Name the two line segments. 11. What type of angle is E?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 127

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Geometry You may have to work backwards to find an answer.

Directions: Find the missing dimension on each figure .

1.

Missing side: Perimeter: 24 ft Area: 35 sq ft

2.

Missing angle:

3.

Missing side: Area: 32 sq cm

4.

Diameter: Circumference: 31.4 in

5.

Width: Volume: 160 cu yd

6.

Total Surface Area:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 128

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Averages To find the average, or mean, add to find the total, then divide by the amount of addends. Directions: Find the average for each set of numbers. Show all your work. 1. 13, 17, 20 2. 45, 74, 88, 95, 83 3. 5, 10, 5, 5, 10, 5, 10, 10, 5, 5 4. 100, 150, 200, 100, 500 5. 1.2, 0.7, 2.0, 0.5, 1.7, 1.3, 0.9, 0.4 6. 3, 12, 7, 21, 10, 8 7. A group of ten friends took a survey of how many people lived in their homes (including themselves). Find the average number of people in each home. 3, 5, 2, 4, 6, 4, 3, 4, 5, 5

8. Six students formed a study group. After a test, they compared their scores. What was their average score on the test? 83, 86, 97, 95, 90, 89

9. Eleven movie reviewers saw the newest movie.They all rated the hit on a scale of 1 to 10, 10 being the best. Find the average score of the reviewers. 6, 3, 8, 5, 6, 8, 6, 7, 6, 7, 7

10. Seth kept track of his math grades for two weeks. Help him find his average for that time. 76%, 88%, 85%, 93%, 96%, 80%, 82%, 94%, 78%, 95%

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 129

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Range, Mean, Median, and Mode If the numbers in a data set aren't in order from least to greatest, put the numbers in order before you start working with the data set. Directions: Find the range, mean, median, and mode for each set of numbers. Show your work. 1. A group of friends wrote down the number of pets each had at home. 0, 1, 3, 7, 2, 0, 0, 3, 4, 3 Range: Mean: Median:

Mode:

2. Mike wanted to find his math scores for the last week. Here are his scores. 87, 76, 95, 100, 85, 90, 92, 83, 89 Range: Mean: Median:

Mode:

3. The Rosses wanted to build a swimming pool.They took quotes from several pool companies to find out how much it would cost. $20,500, $15,500, $16,000, $22,500, $18,000, $20,000, $17,800, $22,500, $19,999 Range: Mean: Median:

Mode:

4. Ms. Monroe gave a math test. Here are the scores for all her students. 88, 75, 56, 98, 92, 86, 100, 92, 80, 78, 85, 74, 83, 80, 72, 88, 95, 75, 68, 78, 88, 94, 88, 85, 78, 80 Range: Mean: Median:

Mode:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 130

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Probability 1 Probability is the chance of an event occurring.There is a 1 in 4 or ᎏ 4 chance of spinning 1 on the spinner.

1 4

outcome of a 1 possible outcomes

Directions: Figure the probability for each situation. Simplify fractions, if needed. 1. What is the probability of spinning an even number? 2. What is the probability of spinning a five? 3. What is the probability for spinning an odd number sometime in two spins? 4. What is the probability for spinning four times and getting a three more than once? 5. What is the probability for spinning an even or an odd number? 6. What is the probability for spinning a 1 or a 2, then spinning again and getting a 1 or a 2? You have a bag of 10 marbles: 6 are red, 3 are blue, and 1 is green. 7. What is the probability of pulling out a red marble? 8. What is the probability of pulling out a blue marble? 9. What is the probability for pulling out a red marble, keeping it out and pulling out another one? 10. What is the probability for pulling out a green marble, keeping it out and pulling out a blue one? 11. What is the probability for pulling out a red marble, putting it back and pulling out a red marble again? 12. What is the probability for pulling out three red marbles in a row, keeping each of them out? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 131

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Odds Odds compare the possibility of an event happening to the event not happening. Just as in fractions, you can simplify odds.The odds against spinning an even number on this spinner are 2 to 2 or 1 to 1. Odds of spinning a 3 number of ways to spin a 3 1 1

number of ways to spin anything else to :

3 3

Directions: Write the odds for each situation. Simplify, if needed. 1. What are the odds for spinning an even number? 2. What are the odds for spinning a five? 3. What are the odds for spinning an even or an odd number? 4. What are the odds for spinning a 1 or a 2, then spinning again and getting a 1 or a 2? 5. What are the odds against spinning a 2, 3, or 4? 6. What are the odds for spinning a number greater than 4? 7. What are the odds against spinning a number greater than 4? You have a bag of 10 marbles: 6 are red, 2 are blue, and 2 are green. 8. What are the odds for pulling out a red marble? 9. What are the odds for pulling out a blue marble? 10. What are the odds against pulling out a green marble? 11. What are the odds for pulling out a red marble, keeping it, then pulling another? 12. What are the odds against pulling out a red marble, putting it back and pulling another red marble?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 132

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review How well do you remember all your skills?

Directions: Use what you have learned to answer the questions. 1. What number is MMXXII? 2. What place value does the 7 have in 27,452? 3. What property is shown here? 1+3 = 3+1 4. What property is show here? 3 (4 + 2) = 3 x 4 + 3 x 2 5. Explain why the number 8 is not a prime number. 6. Write these numbers in order from least to greatest: 3,419 3,914 3,194 3,149 7. List ten multiples of 12. 8. List the factors of 12. 9. Show the prime factorization for 12. 10. Write two equivalent fractions to 1/2. 11. Give a percentage to show how these numbers relate: 5-10. 12. Alex knew that 62 people were coming to their family reunion. He invited his 11 cousins to camp out in his backyard.The cousins cooked breakfast for themselves and the 5 people in Alex's family. So Alex said that 56 others ate breakfast at the hotel.Write the equation Alex used and then write the inverse operation to check his equation.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 133

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review With all the practice you've had, math isn’t so hard now, is it?

Directions: Use what you have learned to solve the problems. a

b

1. ⫺5 ⫹6 ⫽

⫺7 ⫻ ⫺8 ⫽

2. 30 ⫺ ⫺30 ⫽

? 3 ᎏ⫽ ᎏ 8 32

3. ⫺50 ⫹ ⫺80 ⫽

1 17 ᎏ ⫽ᎏ ? 2

4. ⫺4 ⫻ 12 ⫽

3 15 ᎏ ⫽ᎏ 4 ?

a

b

c

5.

357 + 442

543 384

8,290 7,572

6.

5,042 + 3,864

6,706 3, 481

3, 051 + 629

7.

24,877 + 3, 471

54,385 24, 493

349,136 256, 221

8.

603,526 + 134,591

3,509,376 2,744, 238

60,348 25, 572

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 134

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Congratulations! You're about to complete this entire book!

Directions: Use what you have learned to solve the problems. a

b

1.

3 1 = ____ 4 2

1 1 5 = ____ 2 4

2.

3 1 ÷ = ____ 4 2

1 1 5 ÷ = ____ 2 4

3.

2 3= ____ 3

1 1 3 1 = ____ 5 8

4.

2 ÷ 3= ____ 3

1 1 3 ÷1 = ____ 5 8

a

b

c

d

e

5.

34 9

445 18

8 17.7

760 3

254 2.6

6.

27.6 4

6, 403 23

91 5

308 17

849.2 39

7.

3126

12 300

0.3 300

5 245

171088

8.

6 224.4

11300

9189

15 245

62 562

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 135

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Congratulations! You really know your operations!

Directions: Complete the equations if needed and solve the word problems. Show all your work. 1. Laurel looked at one computer game that cost $18.79 and another that cost $15.65. How much more was the first game? $18.79 2. Laurel bought the game that cost $15.65.The tax was 5%. How much did she spend altogether? $15.65 x 3. Raymond had 2 1/2 pizzas. His friends sat at two tables. How much pizza should he give each table? 2 1/2 4. If you had 2 blue shirts, 1 red shirt, and 3 t-shirts in a drawer, what are the odds that you would pull out a blue shirt? 5. Ten friends took a survey of how many brothers or sisters each had.What is the average number of brothers or sisters the group had? 1, 0, 3, 2, 1, 1, 2, 1, 0, 1 1+0+3 6. The Clark’s backyard measured 15 feet by 20 feet (in a rectangle).What is the perimeter and area of the Clark's yard? (Drawing a diagram may help.) Perimeter: 15 +

Area: 15 x

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 136

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Scope and Sequence

Students

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

137

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9.

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

XIV XV XVI XXXIII XXX XXVI 15 34 20

XVII XVIII XIX XXXV IX XXVII 29 16 17

MMX MMC MMI MMCX MMXI XCVI CCCXC CDXCVI MXCUI MMMDVI 41 95 904

8

hundreds tenths hundreds tens hundredths millions ten thousand ones tens hundreds 8,359,651.27 5,359,601.27 8,059,601.25 8,359,601.25 8,359,101.27

PAG E

1. 2. 3. 4.

7

CC LXXX D DI MM LX DCCC MMM LV CCC 400 90 56

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.

6

XI XII XIII XXIV XXXVIII XXIX 10 8 22

ones hundred thousands hundredths tenths thousands thousands tenths ten thousand ones hundredths

9

4 tens, 8 hundredths 5,000 + 30 + 2 500.32 six thousand, four hundred seventeen 6,000 + 400 + 10 +7 5. 3,001,007 3 millions, 1 thousand, 7 ones 6. 825 thousands, 9 tens, 4 tenths 8 hundred thousand, 2 ten thousands, 5 thousands, 9 tens, 4 tenths 7. three hundred fifty-four and two hundred thirty-six thousandths 300 + 50 + 4 + 0.2 + 0.03 + 0.006 3 hundreds, 5 tens, 4 ones, 2 tenths, 3 hundredths, 6 thousandths Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

8. 2,409,670.02 2,000,000 + 400,000 + 9,000 + 600 + 70 + 0.02 2 millions, 4 hundred thousands, 9 thousands, 6 hundreds, 7 tens, 2 hundredths PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1. 2. 3. 4. 5. 6. 7.

4 3 8 4 45 =

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

P P N 5 11 -4 -115 -9

P P P 1 31 6 -60 500

11

3/8 5/6 1 1/2 3/4 4/7 2

PAG E

1. 2. 3. 4. 5. 6.

10

P N N 14 -21 -3 2 77

10 9 2 2 16

13

1/5 1/50 33/100 1/2 98/100 17/100 1/10 0.33 0.25 0.4 0.1667 0.3 0.14

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 1. 2. 3. 4. 5. 6. 7.

2 30 9 14 3 =

7. = 8. = 9. 10. 11.

9/10 90/100 54/100 66/100 75/100 4/10 8/100 0.5 0.125 0.833 0.667 0.667 0.6

< = > > < < >

PAG E

= =

4/1000 204/1000 70/1000 1 1/2 2 5/100 3/10 5 1/1000 0.625 0.5 0.444 0.3 0.17 0.04

= = =

1. 2. 3. 4. 5. 11. 12. 13. 14. 15. 16.

138

> > > < > > >

< > < > = > <

16

17

18

1% 25% 33% 50% 100% 50%

8. 9. 10. 11. 12. 13. 14.

50 40 100 250 80

0 4 10 32 182 358

70 90 60 90 100 100 70 560 1,000 550

PAG E

1. 2. 3. 4. 5. 6.

15

20 0 20 80 110 3 1 51 5 672 922

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

14

72 138 853 85 100 2,462 540 69,125 428,300 3,960 597,280 764,329 4,970, 21,058, 69,832 1,749, 47,291, 56,022 21,732, 27,582, 655,934 67,575, 195,732, 908,274 659, 63,472, 63,570, 63,807 679, 6,712, 6,793, 7,235 27,483, 7,240, 6,792, 5,729 6,729, 5,729, 5,720, 483 47,283, 7,178, 2,704, 273 4,848, 4,193, 4,091, 472

PAG E

1 2/5 2 3 1 2/3 1 4/5

12

PAG E

< = > < > < =

= > = >

< < = >

6. 7. 8. 9. 10.

90 440 60 680 1,250

2,000 60 380 120 340

1 0 1 1 48 523

20 50 80 120 310 590 440 770 570 960

50 140 130 540 350 740 470 1,300 590 970

10% 50% 0% 25% 0% 100%

100% 80% 50% 100% 10% 50%

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

PAG E

1. 2. 3. 4. 5.

18 48 72 130 32

PAG E

1. 2. 3. 4. 5. 6.

1. 2. 3. 4. 5. 6. 7. 8.

21

50% 83% 67% 3/10 1/100 99/100

22

23

7:5 1:3 5:6 18:7 1:1 1:2 1:2

PAG E

6. 7. 8. 9. 10.

10% 150% 60% 75% 11.1%

47% 3% 100% 30% 250% 300% 0.05 1.5 0.25 0.15 0.255 0.015

5:11 11:5 11:16 5:16 12:16 28 to 12 4 to 7 11:16 5 to 11 11:12

PAG E

1. 2. 3. 4. 5. 6. 7.

2 9 13.5 20 247.5

75% 17% 22% 9/20 2/3 27/100

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

PAG E

20

38% 36% 15% 0.45 0.73 0.99

PAG E

1. 2. 3. 4. 5. 6.

19

24

1,000,000 289 256 59,049 125 4,096 128 100

7. 8. 9. 10. 11. 12.

50% 200% 6.667% 400% 100% > < = > = >

> < > = < >

20% 7. > = 38% 8. < > 86% 9. = > 1/2 10. = < 3/4 11. < = 4/5 12. < <

> = > = > <

2x3x5 24 41 x 1 45 80 189 88 117

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

8:1 1:2 4:1 2:1 2:1 2:1 2:0

9. 10. 11. 12. 13. 14. 15.

144 729 256 121 243 49 1,296

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

26

27

28

16 MMXXIX tens 300,457.02 61 3/4 -17 -63 3 13

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

1 x 11 2 x 3 x 11 3 x 24 216 150 60 168 378

118, 111, 104, 97, 95 $1,204.50 Megan 440 620, 617 50% 6 33% 1:2 32

PAG E

1. 2. 3. 4. 5. 6.

52 2 3 x 32 34 125 147 108 36 72

6 2005 $210.50 Two hundred sixty and five tenths 2 hundreds, 6 tens, 5 tenths $5 + $6 = $11 $15 3/10 4 slices 0.2 3/4

PAG E

5 to 11 11 to 5 11 to 16 5 to 16 12/16 28/12 4:7 11/16 5/11 11 to 12 8. 9. 10. 11. 12. 13. 14.

< < > > = >

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

25

29

7. 8. 9. 10. 11.

PAG E

31

1. C 5. C 2. I 6. I 3. A 7. C 4. A Answers may vary for items 8-10. Example answers are listed below. 8. 5 + 1 = 6 1 + 5 = 6 9. 6 + (1 + 3) = 10 1 + (6 + 3) = 10 10. 25 + 0 = 25 0 +25 = 0

1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

945 877 927 583 620

961 607 701 1,378 1,401

33

34

194 470 100 155 70 244 248 1,219

PAG E

1. 2. 3. 4. 5. 6. 7.

107 279 982 991 1,163

66 159 613 100 110 409 100 160 962 595 335 1,110 134 + 247 = 371 371 - 247 = 134

PAG E

1. 2. 3. 4. 5.

32

79 151 530 938 878

PAG E

0.2 2/10 20% 4 3 10 4

30

11 13 7 12 6 13 8 10 11 9 4 8 14 5 4 15 5 15 6 8 8 17 8 12 3 12 5 12 9 13 2+6=8 6+2=8 8-2=6 8-6=2 10. 7 + 3 = 10 3 + 7 = 10 10 - 3 = 7 10 - 7 = 3

PAG E

> < > = < > < < = < < > > = > < > > > = > Aliya read 3/10 = 30% Matt read 1/4 = 25% Aliya read more.

139

1. 2. 3. 4. 5. 6. 7. 8. 9.

35

1,890 3,898 7,052 8,973 10,701 7,083 9,088

129 265 124 86 149 153 250 347 435 6,660 1,296

7,443 7,959 6,205 11,720 10,601 5,690 8,025 10,570 8,669 14,036 5,043 9,027

6,689 12,391 16,705 8,942 8,340

9,384 13,576 13,683 10,661 6,061

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

1. 2. 3. 4. 5. 6.

36

5.19 74.3 27.12 65.84 11.59 21.5

PAG E

PAG E

68.5 73.39 100 82 74.44 70.6

37

1. 93,014 82,706.24 2. 123,312 6,219,144 3. 675,110 2,650,959 4. 784,719 5,039,777 5. 795,853 6. 349,848.2 PAG E

1. 2. 3. 4. 5. 6.

1. 2. 3. 4. 5. 6. 9. 10.

1. 2. 3. 4. 5. 6. 7.

920.1 417,860 8,298.94 12,491 940.129

-320 720 -238

15 -270 -39

1,519,313 639,675 3,932,178 962,341 693 6,125,594 90

41

61 37 86 294 416

332 399 466 132 91

364 211 182 338 333

148 187 70 336 200

42

219 760 111 90 227 91 904 904 28 77 98 271 64 ñ 27 = 47 47 + 27 = 74

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. B 2. A 3. C PAG E

2,184 2,189 4,274 2,393 3,128 8,255 6,424

771 1,148 1,890 6,079 4,749

8.8 7.25 13.48 29.26 1.9 21.3 10.3 12.76

18.87 21.09 3.779 72.35

46

47

P P P 159 2 75 -37 -305

48

39 203 551 9.09 253 178,888 3,838

49

45 326 296 14.914 327.03 78,777 68 38

378,185 109,008 425,208 108,183 2,210,204 463,516 1,136,141 2,907,110 722,289 1,118,619

N N P 465 99 -2 -100 82

4. D 5. $57.45 6. $6.50

51

2. 3. 4. 5. 6. 7. 8.

82 = 96 = 178 178 - 96 = 82 Incorrect. 101 - 13 = 88 92 + 13 = 105 408 422,490 34 $14 $74.12 -15 degrees

PAG E

1. 2. 3. 4. 5. 6. 7.

PAG E

1. 2. 3. 4. 5. 6. 7.

21 3,119 12,831 77 219,092 4,245

157 747,909 -66 95 2,773.92 23,371

3,894

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.

52

158 2,192 4,798 818 999 199 7,060

53

-10 120 90 -320 -100 310 46,347

PAG E

48 1,156 1,517 2,832 42.01 1,040,011 40,988

140

50

1. Correct.

45

P N N 2 -48 -213 31 -118

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

44

13,057 9,145 42,297 23,459 16,407 264,291 252,066 696,970 214,517 2,090,107

PAG E

1. 2. 3. 4. 5. 6. 7.

360 9 128 66 - $25 = $4

2.9 3.41 2.59 5.07 11.33 3.24 72.29

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

15 187 26 51 - $16

113 6,101 2,122 3,023 2,044 1,217 3,030

PAG E

1. 2. 3. 4. 5. 6.

43

16 11 95 57 $45

PAG E

40

41 39 110 308 266

PAG E

1. 2. 3. 4. 5.

39

1. 2. 3. 4. 5. 1. 2. 3. 4. 5. 6. 7.

9,994.38 2,669,135 1,217,110 3,685,409 7,739,100 4,385,888 9,201,420 1,519,313 13,602.42 6,231,539

596 707 913 12,543 57,865.02 8,428.9 39 492,056 -1,005 9,124,888 B 7. C 8. A 208 + 132 +256 = 596 208 - 132 = 76

PAG E

1. 2. 3. 4. 5.

90.12 7.405 280.09 62.06

38

86 61 -117 -44 9,917

PAG E

56.85 105.54 104.01 98.64

PAG E

N P P N N P N P N -100 57,300 100 -270 -8,100 75 -100 -2,880, -303

PAG E

1. 2. 3. 4. 5.

17.79 3.1 8.6 38.7

12,873 10,586 87,862 187 566 535 2,544.32 8. 9. 10. 11. 12. 13. 14.

137.91 1,083.15 524,924 920,010

26,088 16.15 902.3 8684.2 78,314.83 D C

54

4, 8, 12, 16, 20, 24, 28, 32, 36, 40 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 8, 16, 24, 32, 40, 48, 56, 72, 80 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 10, 20, 30, 40, 50 ,60, 70, 80, 90, 100 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 25, 50, 75, 100, 125, 150,175, 200, 225, 250 4, 8, 12, 16, 20, 24 72 30, 60, 90 18, 36, 54 30, 60 21, 42 15, 30, 45 10, 20, 30

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

55

1, 3 1, 5 1, 2, 3, 6 1, 7 1, 2 1, 3 1, 2, 5, 10 1, 2, 4, 8

PAG E

PAG E

1, 2, 4, 8 1, 3, 9 1, 2, 5, 10 1, 2, 7, 14 1, 2, 4, 8 1 1, 2, 3, 6 1, 2, 4

1, 11 1, 3, 5, 15 1, 2, 3, 4, 6, 12 1, 2, 4, 8, 16 1, 7 1, 2, 4 1, 3, 9 1, 5

56

1. Prime: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 29, 83, 89, 97 Composite: all others except 1. 2. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

57

2 x 33 72 5x7 52 x 3 26 23 5x3 7x3 2 x 52 2 2 x 32 19 11 15 28 40 27 63 36 32 50 28 64

PAG E

58

12 56 3 14 21 16 45 9 10 18

23 22 3 x 22 2x3 2x3x5 22 x 5 17 7 52 32 19 13 5 x 13 25 2x5 2 x 11 24 23 x 3 2 x 17 52 22 x 3 x 5 7 x 11 2 2 x 52 23 x 11 40 16 90 0 24 81 7 80 30 49

28 40 42 72 36 24 0 35 36 21

20 0 56 25

8 24 54 70

59

Answers may vary for items 1-5. Example answers are listed below. 1. 6 x 4 = 4 x 6 2. 5 x (6 x 7) = (5 x 6) x 7 3. 3 x (5 + 6) = 3 x 11 = 33 4. 25 x 1 = 25 5. 0 x 56 = 0 PAG E

60

1. Incorrect 42 ÷ 2 = 21 Incorrect 102 ÷ 8 = 12.75 2. Correct 540 ÷ 9 = 60 Incorrect 71 ÷ 3 = 23 3. Correct 114 ÷ 6 = 19 Correct 184 ÷ 4 = 46 4. Correct. 9 x 21 = 189; 189 ÷ 9 = 21 Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. 2. 3. 4. 5. 6.

PAG E

1. 2. 3. 4. 5.

61

PAG E

2,615 5,856 16,088 5,880 17,346 18,714

62

2.6 14.7 20.8 22.8 1.05

PAG E

27,708 50,428 32,328 72,216 30,522 15,256 55.2 1.75 0.567 0.666 4.24

1. 2. 3. 4. 5.

1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

65

66

8,900 12,672 10,260 26,688 43,725

PAG E

72.3 2.88 3.078 64.64 0.0268

67

32.4 25.2 96.9 31.85 255.36

2,695 2,976 1,494 3,082 8,019

-1630 3,108 -6,615 1,900 792 4,888 1,479 3,944

5283 -44,667 24,615 2,133 3,672 1,628 5,096 4,272

13,761 26,280 99,671 49,416 46,296

504,613 66,946 177,372 230,080 418,392

756,369 223,508 414,838 295,301 343,420

55.68 8.71 103.62 19.36 11.534

23.002 80.36 510.06 35.5248 12.2388

35.5019 59.976 599.76 5,997.6 59,976

141

68

1. 3,238,767 404,903,079 2. 3,581,904 229,388,952 3. 14,510,838 32,657,170 4. 29,274,490 64,000,898 5. 563,760 49,348,152 PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

4 8 2 8 9 3 7 5 7 6 2 8

PAG E

64

624 1,352 5,893 1,092 4,700

PAG E

262.26 44.24 0.0703 29.442 69

17,442 18,870 32,487 40,475 8,322 31,412

184,346 6,209,052 7,215,228 30,268,710 4,685,646 7,465,419 3,853,256 28,851,636 1,418,910 31526,047 942,066 11,729,016

N P P P N N -215 -72 203 -846 228 280

PAG E

1. 2. 3. 4. 5.

10 100 10 100 1,000

83,079 10,788 13,498 43,008 56,442 13,28

63

1. 128,904 6,003,501 2. 401,562 1,852,585 3. 337,800 4,068,870 4. 213,912 19,249,180 5. 192,525 4,198,288 6. 458,628 5,215,830 PAG E

36,130, 14,997 4,690 21,400 43,281 35,008

1. 2. 3. 4. 5. 6.

6 6 7 9 5 6 10 2 2 4 5 4 30 22 25 12 13 17

71

34 47 51 489 322

PAG E

64 562 497 781 328

72

1. 9 R1 412 R4 2. 19 R3 519 3. 27 57 R1 4. 13 R8 659 R2 5. 112 R4 38 R7 PAG E

1. 2. 3. 4.

2 7 7 9 7 8 4 10 3 5 9 3

8 5 8 9 4 3 10 2 4 2 4 8

6 6 1 8 5 9 2 5 7 11 1 2

24 16 27 14 11 12

33 19 10 33 18 11

260 3622 572 847 972

738 529 819 624 863

70

18 17 36 17 14 11

PAG E

1. 2. 3. 4. 5.

69

35.534,009 145,934,080 26,007,048 19,354,663 403,956,861 417,096,850 13,235,184 692,222,490 109,876,463 582,127,308

73

0.6 3.1 490 1500

65 R1 33 R1 345 214 1,011 49 R6 1,735 R1 404 R2 210 721 R1

1.5 0.08 800 400

0.4 3,800 210 0.24

4.1 640 0.004 0.46

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

1. 2. 3. 4.

PAG E

1. 2. 3. 4. 5.

77

78

N -14 -78 6 -347

PAG E

112.5 1735.5 21 412.7 1,671.2

79

9.02 5 50.5 14 200.12 55 466.2 727 4,320.2 2,341 P 9 178 -8 -17

1. $1,980 2. $6 per hour 3. $36 PAG E

15.5 65.2 3,567 38.8 120.62

330.7 1,000.6 111.3 32.5 43.4

76

230 46 621 50 580

PAG E

1. 2. 3. 4. 5.

75

37 21 9 6 55.11

PAG E

1. 2. 3. 4. 5.

PAG E

9 25 4.55

19.75 27 13.9 65.2 1,454.25

PAG E

1. 2. 3. 4. 5.

74

14 0.8 4.8 26 0.05 9.1 2.625 ft

13 15 24 44.1 27.5

27.1 31 67.04 52 70.25

N -45 -71 -68 22

N 56 -574 61 -2147

4. $31.25 5. $1.25 6. $25

1. 2. 3. 4. 5.

81

266 303.67 1,687.4 449.4 8.125

661 5.125 35 72 15

12.16 36 20.33 7.3 487

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. 2. 3. 4. 5. 6. 7. 8.

85

86

23/35 1/4 7/15 3 1/4 17/20 2 7/9

3/4 3/5 9 1/2 1 1/4 7 1/3 8 1 3/8 1

1. 2. 3. 4. 5. 6. 7. 8. 9.

2 3/5 3 1/6 13 1/4 6 19/45 4 11 17/21 8 1/6 3 7/8

1. 2. 3. 4.

1/3 1/2 1/3 3 1/2 1 1/3 2 7/8

2/3 1/4 0 2/12 2/3 4 3/5

1/24 19/36 1/6 2 5/6 8/9 1 5/12

43/70 11/18 7/48 3 5/8 5 1 2/15

1. 2. 3. 4. 5. 6.

11/12 -21/40 11/40

142

7/40 8/27 6/7 3/16 5/24 1/4 5/8 3/5

A. B. C. D.

7/24 1 1/2 1/6 1 3/4 4/7 8/25 6

4 1/5 19 3/5 3 19/45 4/7 7/4 5 3/5 1 1/6 26 17 1/2

11/50 2 2/49 4 22/45 6 2/3 25 1/2 17 17/27 28 4/5 19 1/2

6 5/6 1 4/5 1 1/8

5. 32 1 6. 1/32 1 1/2 7. 4/7 1 7/8

1/8 1/3 3/49 1 3/5

5. 6. 7. 8.

1/9 9 1 4

8/9 1/18 10 2/3 1/6

16/25 49 2 5/11 13 1/8

5. 6. 7. 8.

7 5/7 5/8 5 1/2 1 2/7

1 7/12 40/111 1 1/3 4

94

N P P N N P -1/4 1/2 -1/50 -16 1/2 -3/8 -15 -25/48

1/16 1/4 2 2/5 -1

95

3/8 hour or 22.5 minutes 5/8 hour 5 hours 3/4 hour

PAG E

2 1/2 1/9 1 1/8 4/15 1/12 49/64 1/8 3

93

2 1/4 2 1/4 92 1/9

PAG E

1. 2. 3. 4.

92

4 36 2/5 1 3/5

PAG E

1/3 4/25 2 1/2 3/10 2/15 21/32 10

91

54 1 10 2 1/2

PAG E

1. 2. 3. 4.

90

1 2/3 7/12 35 2 20 1/4 1 2/3 1 3/4 5 1/4 22 1/5

PAG E

1. 2. 3. 4.

89

1/4 2/9 3/5 2/5 9/35 4 2 2/3

PAG E

88

1/4 2/45 3/14 1/4 3/32 3/10 2 4/5

1. 2. 3. 4. 5. 6. 7.

PAG E

87

P P P N N P N P N 3/8 -1 3/8 -5/12

PAG E

-20 12 -280 -2 330 -5 22 x 3 x 5 34 5x7 2 x 47 8. B

84

1/3 2/5 1/4 3 1/5 3/7 3 1/3

PAG E

1. 2. 3. 4. 5. 6.

83

9/10 1 1/6 9/16 13/21 7/18 25/42 7/8 1 7/15

PAG E

1. 2. 3. 4. 5. 6.

PAG E

110 5,600 -10,800 1 x 37 5x3 7. A

1 1 1/4 4/5 1 2/7 4 3 1/3 4 4/5 8 1/3

PAG E

1. 2. 3. 4. 5. 6.

80

684 31,356 2 2,914 57

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1. Correct. 13.5 x 12 = 162 162 ÷ 12 = 13.5 2. $0.22 per pound 3. $438.90 4. 8.375 5. 23.75 6. 38,250 PAG E

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

642 249.02 21,010.2 5,847 256

82

1. -55 2. 72 3. -91 4. 24 5. 23 6. C

96

3/8 2 2 1/8 34

1. 2. 3. 4.

B C A D

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1. 2. 3. 4. 5. 6. 7.

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

101

102

x = 2, 3 x = 0, -1 y = 6, 7 n = 2, 3 m = 4, 5 k = 5, 6 w = 14-42 x = 8, 9

PAG E

Answers may vary for items 1-11. 1. n = 3 g = 5 x=3 2. x = 1 x = 3 z = 2 3. m = 11 m = 5 v = 18 4. k = 1 n = 6 n = 8 5. z = 5 x = 7 n = 2 6. j = 1 y = 11 n = 7. c=8 8. m=36 9. G > 55 10. D=68 11. g=18

8/15 -4/9 -3/14

-5/24 4 3/10

PAG E

1. 2. 3. 4. 5.

3 27 290 540 290 140 1,440

1,280 25 80 -55 29 22 40

h = 26 p = 13 f = 12 q=7 c=8 t=5 m=6 x=3

PAG E

1. 2. 3. 4. 5.

z = 8, 9 j= 0, 1 n = 15, 16 x = 6, 7 w = 0, 1 k = 7, 8 p = 17, 18 t = 4, 5

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. 2. 3. 4. 5.

106

107

35 77 20 -64.4 50

95˚F

71.1 -23 -15 32 20.3

108

8 2 1/2 80 3º

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9.

105

40˚F 32˚F 9˚F 52˚F 84˚F

PAG E

96 390 192 4.75 156

6,000 500 72 1/8 8

20˚F

-12.2 41 -37.7 -1.1 167 5,000 48 10,500 3/4 1,000

< > < < =

> > > > >

> = > < >

6. = = > 7. > < < 8. < > >

109

6.6 127.58 15,000 110.2 > < < > > > > > = < > = > = <

0.53 11.33 1,102.3 3

143

1. 2. 3. 4. 5.

680.4 44 850.5 1,133.98

111

3 1/3 6. 2 1/2 7. 1,760 8. 5,280 9. 1,760 10.

< = > = >

> < = > <

> = < > =

30.48 1.97 0.1524 3.11

< < > >

= > > <

> > < >

6. 7. 8. 9.

112

1 hour 50 minutes 45 minutes 28 F 222 F 100 C Lisa’s friend’s hair is longer. 1,202 They were equal.

113

Indonesia Blake 4.41 lb. 6.61 lb. 12 hours

PAG E

32˚F

6. 7. 8. 9. 10.

1. 2. 3. 4. 5. 6. 7. 8.

9 2,640 1.5 2 2/3 3,960

7.62 5.47 0.914 157.5 3.94 2.1336 2414.016 2.4 > < >

1. 7 hours 10 minutes 2 days 3 hours 6 days 1 hour 2. 11 hours 40 minutes 10 hours 12 hours 3. 1 day 18 hours 8 days 1 hour 2 days 15 hours 4. 10 days 20 hours 1 day 21 hours 10 days 12 hours 5. 3 hours 35 minutes 6. 4 days 4 hours

PAG E

6. 7. 8. 9. 10.

PAG E

1. 2. 3. 4. 5.

110

1,760 3 1 66 1,760

PAG E

1. 2. 3. 4. 5.

135 1.75 6.5 20 60

1. 2. 3. 4. 5.

2 1/2 750 72 10,080 7

PAG E

j=4 n=7 f=4 t=3 y = 16 k = -14 z=3 r=3

104

30 12 15 6 180

PAG E

100

n=7 x = 10 y = 12 z = -8 k = 12 m = 12 x=9 n = 64

103

1/6 13/20 2 1/2 1/2 8 2/3 5 4/15 9/20

56 inches 1.5 minutes $400 $10 28% slower

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1/3 5/21 37/45 1/12 1/2 13/18 7 1/4 3 4/7

99

17 19 -12 24 56 49 27

PAG E

1. 2. 3. 4. 5.

98

1/2 -1/2 1/2 B; 1/6 A; 1 1/2 D; 3/16 C; 3/4

PAG E

1. 2. 3. 4. 5. 6. 7.

97

1 1/3 4/5 2 1/4 1 1/4 5/9 8/35 7 1/5 1 2/3

114

Answers may 1. AB 2. AD 3. A 4. AC-BE 5. AC-DF 6. A PAG E

vary for items 1-6 BC DG B AD-AB AD-BE B

115

1. Acute (Equilateral) Triangle and Right Triangle 2. Rectangle and Right Triangle 3. Hexagon 4. None Answers will vary for item 5. PAG E

1. 2. 3. 4. 5.

116

AB AJ CD MN 45o Acute 120o

6. Obtuse 7. 90o 8. Right Angle 9. 60o 10. 45o

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

117

PAG E

1. Acute 40o 2. Right 90o 3. Obtuse 15o PAG E

118

1. 16 yd 17 in 2. 15 in 11 ft 3. 24 m 48 cm PAG E

1. 2. 3. 4.

PAG E

1. 2. 3. 4.

119

C=3.14 C=18.85 C=7.85 C=1.57

120

17 ft 7 cm 7.21 in 3m

PAG E

C=31.42 C=43.98 C=47.12 C=119.38 50 in 24 yd 5.33 ft 9.73 in

121

1. Perimeter: 24 yd Area: 36 yd2 Perimeter: 20 ft Area: 24 ft2 2. Perimeter: 20 in Area: 8 in2 Perimeter: 28 cm Area: 49 cm2 PAG E

122

1. Radius: 0.5 in Area: 0.79 in2 Radius: 5 ft Area: 78.54 ft2 2. Radius: 3 yd Area: 28.27 yd2 Radius: 7 m Area:153.9 m2 3. Radius: 1.23 in Area: 4.9 in2 Radius: 7.5 cm Area: 176.7 cm2 4. Radius: 0.25 in Area: 0.785 in2 Radius: 19 cm Area: 1134.11 cm2 PAG E

123

1. front:64 top:64 bottom:64 back: 64 left side:64 right side:64 total surface area: 384m2 2. front:50 top:50 bottom:50 back: 50 left side:25 right side: 25 total surface area: 250in2 3. front:20 left side:20 right side: 20 back:20 bottom: 25 total surface area: 125yd2 PAG E

124

1. 64 yd3 2. 15.7 ft3 3. 160 cm3 PAG E

1. 2. 3. 4. 5. 6.

160 in3 24 m3 401.92 yd3

125

Second Street Center Street First Street and A Avenue 45o Right Angle 90o 45o acute 5 miles

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

126

PAG E

1. Ribbon length: 25.1 in Wrapping Paper: 158.3 in2 Styrofoam: 201.06 in3 2. Missing Side 5 ft Area painted: 788 ft2 Concrete: 1440 ft3 PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

90o B or I I and 3 Obtuse 45o 135o Supplementary and equal 180o Adjacent and are equal angles 4 1 and 3 Obtuse

PAG E

1. 2. 3. 4. 5. 6.

128

Missing Side: 5 ft Missing Angle: 100o Missing Side: 4 cm Diameter: 10 in Width: 4 yd Total surface area: 52 in2

PAG E

1. 2. 3. 4. 5.

127

129

16.67 77 7 210 1.09

PAG E

6. 7. 8. 9. 10.

10.17 4.1 90 6.27 86.7%

130

1. Range: 0-7 Mean: 2.3 Median: 2.5 Mode: 0,3 2. Range: 76-100 Mean: 88.6 Median: 89 Mode: 3. Range: $15,500-$22,500 Mean: $19,199.88 Median: $19,999 Mode: $22,500 4. Range: 56-100 Mean 85.8 Median: 84 Mode: 88 PAG E

1. 2. 3. 4.

PAG E

1. 2. 3. 4.

131

1/2 0 1/4 1/16

132

2:4 0:4 1:1 1:4

5. 6. 7. 8.

1 1/2 3/5 3/10

9. 10. 11. 12.

1/3 1/30 9/25 1/6

5. 6. 7. 8.

1:3 0:4 4:0 3:5

9. 10. 11. 12.

1:5 8:2 1:3 25:9

144

1. 2. 3. 4. 5. 6. 7. 8. 9. 11. 12.

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

56 12/32 17/34 15/20 159 3,225 29,892 765,138

718 3,680 92,915 34,776

135

3/8 1 3/8 1 22 2 3 3/5 2/9 2 38/45 206 8,010 110.4 147,264 42 25 37.4 27.27

PAG E

1. 2. 3. 4. 5. 6.

134

1 60 -130 -48 799 8,906 28,348 738,117

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

133

2,022 thousands Commutative Property Distributive Property 8 is divisible by more than 1 and itself (for example: 1, 2, 4, 8.) 3,149, 3,194, 3,419, 3,914 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 1, 2, 3, 4, 6, 12 22 x 3 50% or 200% 62 – (11 + 5) = 56 56 + 16 62; 46 + 16 = 62 46 people ate at the hotel.

141.6 455 1,000 21

2,280 5,236 49 16.33

660.4 33,118.8 64 9.06

136

$3.14 $16.43 1 1/4 pizza 1/3 1.2 Perimeter: 70 ft Area: 300 sq ft

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Saddleback Math Covers

10/22/06

6:24 PM

Page 4

MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 6

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

6

100 plus+ REPRODUCIBLE ACTIVITIES

10/22/06

6:24 PM

Page 4

MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 6

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

6

100 plus+ REPRODUCIBLE ACTIVITIES

MATH COMPUTATION SKILLS & STRATEGIES

LEVEL

6

ISBN 1-56254-969-3 Copyright © 2006 by Saddleback Educational Publishing. All rights reserved. No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system without written permission of the publisher, with the following exception. Pages labeled Saddleback Educational Publishing ©2006 are intended for reproduction. Saddleback Educational Publishing grants to individual purchasers of this book the right to make sufficient copies of reproducible pages for use by all students of a single teacher.This permission is limited to an individual teacher and does not apply to entire schools or school systems. Printed in the United States of America

Ta ble of Contents P a ge Lesson 5 . . . . . . . . . Introduction Unit 1 . . . 6 ......... 7 ......... 8 ......... 9 ......... 10 . . . . . . . . 11 . . . . . . . . 12 . . . . . . . . 13 . . . . . . . . 14 . . . . . . . . 15 . . . . . . . . 16 . . . . . . . . 17 . . . . . . . . 18 . . . . . . . . 19 . . . . . . . . 20 . . . . . . . . 21 . . . . . . . . 22 . . . . . . . . 23 . . . . . . . . 24 . . . . . . . . 25 . . . . . . . . 26 . . . . . . . . 27 . . . . . . . . 28 . . . . . . . . 29 . . . . . . . .

Numbers and Number Sense Write Roman Numerals Write Roman Numerals Identify Place Value Understand Integers Add and Subtract Integers Use Fractions and Mixed Numbers Find Equivalent Fractions Convert Decimals and Fractions Order Numbers Compare Numbers Round Numbers Estimate Answers Understand Percentages Find Percentages Convert Percents and Decimals Convert Percents and Fractions Understand Ratios Find Ratios Understand Exponents Use Exponents Solve Word Problems Solve Word Problems Review Number Sense Review Number Sense

Unit 2 . . . . Operations With Whole Numbers and Decimals 30 . . . . . . . . Fact Families 31 . . . . . . . . Properties of Addition 32 . . . . . . . . Regrouping in Addition 33 . . . . . . . . Check Addition 34 . . . . . . . . Add Three or More Addends 35 . . . . . . . . Add Up to Four Digits 36 . . . . . . . . Add Decimals 37 . . . . . . . . Add Up to Seven Digits 38 . . . . . . . . Add Greater Integers 39 . . . . . . . . Practice Addition 40 . . . . . . . . Practice Addition 41 . . . . . . . . Regrouping in Subtraction 42 . . . . . . . . Check Subtraction 43 . . . . . . . . Subtract Two or More Subtrahends 44 . . . . . . . . Subtract Up to Four Digits 45 . . . . . . . . Subtract Decimals 46 . . . . . . . . Subtract Up to Seven Digits 47 . . . . . . . . Subtract Integers 48 . . . . . . . . Practice Subtraction 49 . . . . . . . . Practice Subtraction 50 . . . . . . . . Solve Word Problems

51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82

........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........

Unit 3 . . . . 83 . . . . . . . . 84 . . . . . . . . 85 . . . . . . . . 86 . . . . . . . . 87 . . . . . . . . 88 . . . . . . . . 89 . . . . . . . . 90 . . . . . . . . 91 . . . . . . . . 92 . . . . . . . . 93 . . . . . . . . 94 . . . . . . . . 95 . . . . . . . . 96 . . . . . . . . 97 . . . . . . . . 98 . . . . . . . .

Solve Word Problems Review Addition and Subtraction Review Addition and Subtraction Find Multiples Find Factors Identify Prime and Composite Numbers Prime Factorization Practice Multiplication Facts Properties of Multiplication Check Multiplication and Division Multiply Up to Four Digits by One Digit Multiply Decimals Multiply Seven Digits by One Digit Multiply Integers Multiply Two Digits by Two Digits Multiply Up to Four Digits by Two Digits Multiply Decimals Multiply Up to Seven Digits by Two Digits Practice Division Facts Divide Two Digits by One Digit Divide Up to Four Digits by One Digit Divide With and Without Remainders Divide Decimals Divide Decimals by Decimals Divide Remainders into Decimals Divide by Two Digits Divide Up to Six Digits by Two Digits Divide Integers Solve Word Problems Solve Word Problems Review Multiplication and Division Review Multiplication and Division Operations With Fractions Adding With Like Denominators Adding With Unlike Denominators Subtracting With Like Denominators Subtractings With Unlike Denominators Positive and Negative Fractions Understand Multiplying Fractions Practice Multiplying Fractions Multiply Mixed Numbers Understand Dividing Fractions Practice Dividing Fractions Divide Mixed Numbers Positive and Negative Fractions Solve Word Problems Solve Word Problems Review Fractions Review Fractions

Ta ble of Contents Unit 4 . . . . 99 . . . . . . . . 100 . . . . . . . 101 . . . . . . . 102 . . . . . . . 103 . . . . . . .

Equations Use Order of Operations Write Equations Solve Equations Solve Inequalities Review Equations

Unit 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128

Geometry and Measure m e n t Convert Time Add and Subtract Time Find Temperature Convert Temperature Find Weight Convert Weights Convert Customary Lengths Convert Metric Lengths Solve Word Problems Solve Word Problems Name Lines Identify Angles Find Angles Understand Triangles Find Perimeter Find Circumference Find Areas of Triangles Find Areas of Parallelograms Find Areas of Circles Find Surface Areas Find Volumes Solve Word Problems Solve Word Problems Review Geometry Review Geometry

5 .... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... ....... .......

Unit 129 130 131 132 133 134 135 136

6 .... ....... ....... ....... ....... ....... ....... ....... .......

P robability Find Averages Find Range, Mean, Median and Mode Understand Probability Understand Odds Review Review Review Review

137 138 139 140 141 142 143 144

....... ....... ....... ....... ....... ....... ....... .......

Scope and Sequence Answer Key Answer Key Answer Key Answer Key Answer Key Answer Key Answer Key

About This Series This series was created by Saddleback Educational Publishing to provide extensive math practice as a supplement to in-class instruction. Math Computation Skills and Strategies can easily be integrated into math curricula to reinforce basic skills.The lessons focus on practice, with up to 70 items a page. In addition, the lessons are designed to challenge students as their skills grow stronger. As the students progress through the individual lessons, the degree of difficulty increases. Closely adhering to state standards, this series provides grade-level appropriate lessons that are approachable for students at a range of abilities. Review lessons are interspersed throughout the book to allow students to reinforce their skills. Furthermore, the Scope and Sequence chart at the back of the book will help you choose lessons that are applicable to your curriculum.This series covers a range of topics, allowing students to build skills in multiple areas. Additionally, the lessons provide a variety of approaches, including word problems that emulate real-life situations. Each book is designed to challenge students who are learning skills at the corresponding grade level. However, the lessons were created not just for younger children, but for students of all ages. Saddleback Educational Publishing believes in allowing students to strengthen their skills with fun and exciting practice lessons.We hope you enjoy using this series to supplement class instruction and help students gain skills for proficiency in math computation.

Write Roman Numerals Roman numerals are often used for writing time increments, such as the hours on a clock face or the number names of years. I-1 II - 2 III - 3 IV - 4 V-5

VI - 6 VII - 7 VIII - 8 IX - 9 X - 10

Look at the Roman numerals for 4 and 9. 4 is written as if it read “1 before 5” 9 is written as if it read “1 before 10”

Directions: Write the Roman numerals for 11-19. a

b

c

1 . 11

14

17

2 . 12

15

18

3 . 13

16

19

Directions: 20 and 21 in Roman numerals are XX and XXI.Write each in Roman numerals. a

b

c

4 . 24

33

35

5 . 38

30

9

6 . 29

26

27

Directions: Write each in standard form. a

b

c

7. X

XV

XXIX

8 . VIII

XXXIV

XVI

9 . XXII

XX

XVII

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 6

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Roman Numerals Roman numerals look like the symbols we use for letters.

L - 50 C - 100 D - 500

M - 1000 IL - 59 LX - 60

CC - 200 DC - 600 MMM - 3000

Directions: Write each number in Roman numerals. a

b

1 . 200

2010

2 . 80

2100

3 . 500

2001

4 . 501

2110

5 . 2000

2011

6 . 60

96

7 . 800

390

8 . 3000

496

9 . 55

1096

10. 310

3506

Directions: Write each in standard form. a

b

11. CD

XLI

12. XC

XCV

13. LVI

CMIV

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 7

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Identify Place Va l u e The value of a digit depends on where it is within a number. Remember: zero is a placeholder. Directions: Write the place value of the 8 in each nu m b e r. a

b

1 . 840

28

2 . 27.8

830,952

3 . 1,803

2.08

4 . 3,400,280

45.800

5 . 6,000.38

308,459

6 . 8,554,000

627.118

7 . 1,080,420

62,711.8

8 . 108.0420

980,761

9 . 980.76

98.0761

10. 9807.6

0.980761

Directions: Write each number in standard form starting with the following value.

8,359,601.27 11. Add fifty 12. Subtract 3 million 13. Subtract 300,000 14. Add two hundredths 15. Subtract 5 hundreds Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 8

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Integers Numbers can be written many different ways.

standard word expanded place value

2,030.1 two thousand thirty and one tenth 2,000 + 30 + 0.1 2 thousands, 3 tens, and 1 tenth

Directions: Complete the chart . Standard

Word

Expanded

1.

40.08

forty and eight hundredths

40 + 0.08

2.

5,032

five thousand, thirty-two five hundred and thirty-two hundredths

3.

4.

Place Value

5 thousands, 3 tens, 2 ones 5 hundreds, 3 tenths, 2 hundredths

500 +0.3 +0.02

6 thousands, 4 hundreds, 1 ten, 7 ones

6,417

5.

three million, one thousand, seven

6.

825,090.4

7.

354.236

8.

800,000+20,000 + 5,000 + 90 + 0.4

two million, four hundred nine thousand, six hundred seventy and 2 hundredths

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3,000,000 +1,000 +7

Date 9

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dd and Subtract Integers Integers can be positive or negative numbers. Adding a negative number to a positive is like subtracting.The sum can be positive or negative, depending on which digit is greater. 4 + -3 = 1 -3 + 4 = 1 4 + -5 = -1 -5 + 4 = -1

Directions: Write P if the answer is positive or N if the answer is negative. a

b

c

1. 6 + 8 =

8–3=

-4 + 5 =

2 . -4 + -17 =

8 – -3 =

17 – -14 =

3 . -5 – -2 =

-6 – -2 =

-3 – -9 =

Directions: A dd or subtract. a

b

c

4. 6 + 8 =

8–3=

-4 + 5 =

5 . -4 + -17 =

8 – -3 =

17 – -14 =

6 . -5 – -2 =

-6 – -2 =

-3 – -9 =

7 . -17 + 19 =

-91 + -24 =

-36 + -24 =

8 . 45 – -32 =

31 – 40 =

479 – -21 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 10

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Fractions and Mixed Numbers A fraction represents part of a whole. A mixed number represents a whole number and a fraction.

2 3 3

1 2

Directions: Write the fraction or mixed number that goes with the picture. a

b

1. =

=

=

=

2.

Directions: A dd . Remember that when the numerator equals the denominator, you can make a whole nu m b e r. a

b

3.

1 1 + = ____ 2 2

1 2 2 + = ____ 3 3

4.

1 1 + = ____ 4 4

1 3 + = ____ 4 4

5.

3 3 + = ____ 8 8

1 1 + = ____ 3 3

6.

3 1 + = ____ 7 7

2 7 + = ____ 9 9

7.

1 1 +1 = ____ 2 2

1 3 + = ____ 5 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 11

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Equivalent Fractions Equivalent simply means equal.To find equivalent fractions, multiply or divide both the numerator and the denominator by the same number. Directions: Complete each equation to create equivalent fractions. a

b

c

1.

2 = 4 8

1 2 = 5

1 4 2

2.

1 = 3 9

3 = 4 12

5 25 = 6

3.

1 4 = 2

1

4.

6 3 = 8

6 3 9

7 = 8 16

5.

5 25 = 9

1 2 = 8

2

=

=

3 6

3 1 = 3

=

Directions: Complete each equation with = or a

=

8 12

.

b

c

6.

1 2

2 4

2 3

2 5

10 15

2 3

7.

2 6

1 3

3 9

2 3

1 10

2 5

8.

5 10

4 8

3 4

3 9

2 4

1 2

9.

1 3

3 12

2 5

10 25

5 6

10 12

10.

3 6

1 3

3 4

9 12

2 8

1 4

11.

3 4

7 8

2 9

1 3

3 5

4 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 12

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Decimals and Fractions Decimals are like fractions.They represent a part of a whole. A decimal is sometimes written with a zero in the ones place. Directions: Write each decimal number as a fraction. a

c

b

1 . 0.2 =

.9 =

0.004 =

2 . .02 =

0.90 =

.204 =

3.

.54 =

0.070 =

4 . .5 =

.66 =

1.5 =

5 . 0.98 =

0.75 =

2.05 =

6 . .17 =

.4 =

0.3=

7 . 0.1 =

0.08 =

5.001=

0.33 =

Directions: Write each fraction as a decimal nu m b e r. Round to the n e a rest thousandths place. a

b

c

8.

1 = ____ 3

2 = ____ 4

5 = ____ 8

9.

1 = ____ 4

1 = ____ 8

3 = ____ 6

10.

2 = ____ 5

5 = ____ 6

4 = ____ 9

11.

1 = ____ 6

4 = ____ 6

3 = ____ 10

12.

3 = ____ 10

2 = ____ 3

17 = ____ 100

13.

1 = ____ 7

3 = ____ 5

1 = ____ 25

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 13

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

O rder Numbers When ordering numbers, first compare the digits in the place of the greatest value. Be sure to look at the same place in each number. Directions: Look at the pair of numbers. Circle the number with the greater value. a

c

b

1.

72

27

138

128

583

853

2.

85

58

76

100

246

2,462

3.

540

89

10,927

69,125

428,300

42,830

4.

2,493

3,960

597,280

49,723

674,329

764,329

Directions: Write the numbers in order from least to greatest. 5.

69,832 4,970 21,058

6.

47,291 1,749 56,022

7.

21,732 655,934 27,582

8.

195,732 67,575 908,274

9.

63,570 63,807 659 63,472

10.

6,712 6,793 6,79 7,235

Directions: Write the numbers in order from greatest to least. 11.

6,792 27,483 5,729 7,240

12.

5,720 5,729 6,729

13.

7,178 273 47,283 2,704

14.

4,091 4,193 4,848 472

483

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 14

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

C o m p a re Numbers Comparing numbers is easy! Just remember to compare like place values.

Directions: Complete each number sentence with =, <, or > . a

c

b

1.

6,723

6,725

2.

0.8

3.

71.82

71.28

7,128

712.8

71.28

7128

4.

2.364

.9457

2,364

9,457

23.64

9.457

5.

57.45

5,745

5,745

.5745

57.45

57.45

6.

9,767.9

9,767

8,147

9,767

976.7

7.

6,728

6,278

6,258

6,295

6,297

8.

229.873

2,298

2,298

229.8

2,298

9.

7,283

7,283

72.83

728.3

7283

10.

0.42

11.

6.732

.800

6,723 0.8

81,472.3 6,529 229,873 7,283.0 0.042 53.48

672.5 0.08

4.2

4.200

67.32

53.48

67.23

67.25

8.0

0.8

42

42.00

6,732

5,348

Directions: Write equivalent fractions or conve rt any numbers that a re not in the same form.T h e n , complete each number sentence with =, <, or > . 12.

2 3

2 9

13.

1 4

3 4

14.

0.7

7 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 15

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Round Numbers If you want to round a number to the nearest ten, look at the digit in the ones place. Round up if it is 5 or greater. Round down if it is 4 or less. Directions: Look at the number in dark print. Round it to the n e a rest ten. Circle the answer in the row at the right. a

20

b

1.

24

25

2.

2

3.

17

10

15

4.

78

70

80

5.

111

100

6.

93

7.

30

50

5

36

30

35

40

20

98

80

90

100

90

254

240

83

80

80 90 100

2003

1990

435

420 430 440

57

50

8.

60

50 60 70

375

370

380

400

9.

679

670 680 690

120

110

120

125

10.

1245

1240 1250 1255

336

330

340

360

0

5

10

110

120

10

50

250 90

260 100

2000 60

2010

70

Directions: Round to the nearest whole nu m b e r. a

c

b

11.

3.2

0.06

0.54

12.

0.9

4.499

0.07

13.

51.3

9.9

0.7

14.

4.5

31.6

1.2

15.

672.0

183.72

48.3

16.

921.6

358.08

523.09

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 16

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Estimate A n swers Estimating is a good way to check answers.The symbol means "is approximately" or "is about equal to." Directions: Round each number to the nearest ten and then find the estimated answe r. a

c

b

1.

63 + 9

5 + 12

3 + 43

2.

87 + 2

18 + 30

65 + 78

3.

6 + 54

75 + 9

38 + 91

4.

43 + 45

26 + 96

82 + 458

5.

22 + 88

39 + 272

47 + 305

6.

7 + 91

486 + 108

709 + 26

7.

10 + 63

431 + 8

4 + 463

8.

247 + 709

374 + 398

517 + 780

9.

951 + 46

69 + 501

36 + 552

10.

344 + 207

219 + 745

622 + 344

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 17

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Pe rcentag e s Percentages are another way to tell about part of a whole. Percent means "out of 100." Directions: Write the correct percentag e to describe how m uch is shaded. a

c

b

1.

2.

3.

4.

Directions: Write 100%, 50%, 10% or 0% to describe how the first nu m b e r relates to the second. a

c

b

5.

95 - 95

0 - 37

3 - 30

6.

40 - 80

30 - 30

15 - 30

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 18

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Pe rcentag e s Finding a percent of a number is easy. Change the percent to a decimal, then multiply.To find what percentage one number is in relation to another, divide. Directions: Find the number for each percentag e. S h ow your work. a

b

1.

60% of 30 =

25% of 8 =

2.

50% of 96 =

10% of 90 =

3.

90% of 80 =

30% of 45 =

4.

65% of 200 =

20% of 100 =

5.

80% of 40 =

45% of 550 =

Directions: Find the percentag e for each set of numbers. S h ow your work. a

b

6.

8 out of 80 =

45 out of 90 =

7.

120 out of 80 =

8 out of 4 =

8.

9 out of 15 =

20 out of 300 =

9.

45 out of 60 =

20 out of 5 =

10.

3 out of 27 =

20 out of 20 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 19

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Pe rcents and Decimals Percentages and decimals are practically the same thing!

Directions: Conve rt each decimal to a percent and each p e rcent to a decimal. a

c

b

1.

0.38 =

.47 =

0.03 =

2.

3.6 =

1.0 =

0.3 =

3.

0.15 =

2.5 =

3.0 =

4.

45% =

5% =

150% =

5.

73% =

25% =

15% =

6.

99% =

25.5% =

1.5% =

Directions: Write =, <, or > to compare each number. Conve rt when needed. a

c

b

0.75

600%

60%

23%

2.3

0.2

2.3%

2.3

0.03

23%

2.3%

7.

0.8

8.

34%

39%

0.02

9.

1.0

100%

30%

10.

63%

0.16

0.5

50%

1.5

11.

40%

0.4

0.6

63%

1.50

12.

.92

90%

0.6

.1

.5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1.5% 150% 5%

Date 20

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Pe rcents and Fractions When converting fractions to percents, round to the nearest whole number.

Directions: Conve rt each fraction to a percent and each p e rcent to a fraction. a

b

c

1.

3 = ____ 4

1 = ____ 2

1 = ____ 5

2.

1 = ____ 6

5 _ = ____ 64

3 = ____ 8

3.

2 = ____ 9

2 = ____ 3

6 = ____ 7

4.

45% =

30% =

50% =

5.

66% =

1% =

75% =

6.

27% =

99% =

80% =

Directions: Write =, < or > to compare each number. Conve rt numbers when needed. a

7. 8. 9.

3 5 1 3 4 5

10.

25%

11.

1 8

12.

65%

c

b

2 5

75%

39%

1 8

80%

30%

1 4 15%

2 3

1 3

3 4 10%

2 7 35%

9 10

90%

2 5

45%

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

90%

2 5 1 4 1 5 3 10 1 2

8 9 40% 22% 20% 10% 55%

Date 21

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Ratios A ratio compares two amounts. Reduce ratios to their lowest terms by dividing each part by the greatest common factor. A ratio can be written in several ways.The ratio of boys to girls in a club with 5 boys and 10 girls can be written in these ways:

5 10

5 to 10

1 2

5:10

1 to 2

1:2

Directions: Write the ratio in two ways. Reduce if needed. A softball team has 5 girls and 11 boys. 1 . The ratio of girls to boys. 2 . The ratio of boys to girls. 3 . The ratio of boys to the entire team. 4 . The ratio of the entire team to girls. In a classroom, 12 people walk to school.The other 16 get rides. 5 . The ratio of walkers to riders is 12 to 16. 6 . The ratio of the entire class to walkers is 28:12. 4 16 7 . The ratio of riders to the class is or . 7 28 Of the riders, 11 people ride a bus and 5 get rides from a parent. 8 . The ratio of busers to the entire class is 11 to 16. 9 . The ratio of people getting rides from a parent to busers is 5:11.

10. The ratio of busers to walkers is

11 . 12

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 22

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Ratios Ratios can compare parts to a whole. Ratios can also compare two separate sets. Directions: Write the ratio for each situation. R e m e m b e r to reduce if needed.

Emma has 7 pencils, 6 markers, and 5 pens. 1 . What is the ratio of pencils to pens? 2 . What is the ratio of markers to all her writing tools? 3 . What is the ratio of pens to markers? 4 . What is the ratio of all writing tools to pencils?

Jacob's family has 1 dog, 1 cat, 4 goldfish, and 2 lizards. 5 . What is the ratio of cats to dogs? 6 . What is the ratio of lizards to goldfish? 7 . What is the ratio of goldfish to all their pets? 8 . What is the ratio of all their pets to cats? 9 . What is the ratio of dogs to lizards? 10. What is the ratio of all their pets to lizards?

Emma's family has 2 dogs and 2 cats. 11. What is the ratio of Jacob's family pets to Emma's? 12. What is the ratio of Emma's dogs to Jacob's dogs? 13. What is the ratio of Emma's dogs and cats to Jacob's dogs and cats? 14. What is the ratio of Jacob's lizards to Emma's lizards? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 23

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Exponents An exponent shows how many times a base number is multiplied by itself. exponent 103 base 10 x 10 x 10 = 1,000

64 6 x 6 x 6 x 6 = 1296

Directions: Write each exponential number in standard fo r m . S h ow your work. 6

1 . 10 = 2

2 . 17 = 8

3. 4 = 5

4. 9 = 3

5. 5 = 4

6. 8 = 7

7. 2 = 2

8 . 10 = 2

9 . 12 = 3

10. 9 = 4

11. 4 = 2

12. 11 = 5

13. 3 = 2

14. 7 = 4

15. 6 = Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 24

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Exponents Exponents are often used to show the prime factorization of a number. 12 = 3 x 4 = 3 x 2 x 2= 3 x 22

Directions: Write the prime factorization for each nu m b e r. a

b

c

1.

30

25

11

2.

16

72

66

3.

41

81

48

b

c

Directions: S o l ve. a

4.

5 x 32 =

5 x 33 =

33 x 23 =

5.

24 x 5 =

3 x 72 =

2 x 3 x 52 =

6.

33 x 7 =

33 x 22 =

22 x 3 x 5 =

7.

11 x 23 =

32 x 22 =

23 x 3 x 7=

8.

32 x 13 =

32 x 23 =

2 x 33 x 7 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 25

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Use your number sense to solve each problem.

Directions: Use what you know about numbers and number sense to answer each question. Use labels when needed. 1 . George Foreman named all his sons after himself. He's George I, the youngest is George VI. How many Georges live in the Foreman house? 2 . A book was published in the year MMV. In what year was the book published? 3 . The latest handheld computer gaming system costs $260.50. If you can buy it for $50 off, how much will you pay? 4 . What is 260.5 in word and expanded form? 5 . Caleb borrowed $5 from his mom for lunch.Then he borrowed $6 to rent a video game.Write and solve an equation to show how much money Caleb owed. 6 . By the end of the week, Caleb owed his mom $20. If he earned $35 over the weekend and paid his mom back, how much did he have left? 7 . Sara ate 3 pieces out of a 10-slice pizza. How much of the pizza did she eat?

1 of the pizza? 2 2 9 . A sheet pizza is cut into 10 pieces. Kayla ate 2 pieces or of it.What is 10 the decimal number for the amount Kayla ate? 8 . If a pizza is cut into 8 slices, how many pieces make

10. Josh ate 75% of a pizza himself.Write the fraction that shows how much of the pizza he ate.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 26

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Use these word problems to test your knowledge of number sense.

Directions: Use what you know about numbers and number sense to answer each question. 1 . Out of 5 DVDs, one was 97 minutes long, another was 104 minutes, the next was 95 minutes, another was 111 minutes, and the last was 118 minutes long.Write the number of minutes of each movie in order from greatest to least. 2 . Ana's family shopped for a computer system. One system cost $1,204.50 and another cost $1,290.40.Which amount is the least? 3 . If James ate

2 5 of his dinner and Megan ate of hers, who ate the most? 3 6

4 . Red Mountain Middle School has 439 students. Estimate how many students attend the school. 5 . Stone Intermediate School has 272 fifth-graders and 345 sixth-graders. How many students attend Stone? Estimate each number by rounding to the nearest ten, then add. Next find the exact answer. 6 . In Mr. Forrest's class of 24 students, 12 are girls.What percentage are girls? 7 . Of the same class of 24 students, 25% walk to school. How many students walk? 8 . Of the class of 24 students, 8 ride the bus.What percentage ride the bus? 9 . A drink mix calls for 3 spoonfuls of mix to 6 cups of water.What is the ratio of water to mix? 10. Ms. Moss told her students that her age is 25. How old is Ms. Moss?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 27

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Number Sense Here's a chance to show what you know! Directions: Use what you know about numbers and number sense to answer each question. 1.

Pope Benedict XVI was elected in 2005.What is the Roman numeral in standard form?

2.

Scientists predict an asteroid will come close to Earth in 2029.What is the year in Roman numerals?

3.

In the number 427,659.03, what is the value of the digit 5?

4.

What is the standard form of 300,000 + 400 + 50 + 7 + 0.2? a

c

b

5.

37 - -24 =

1 2 + = 4 4

-13 - 4 =

6.

-56 + -7 =

2 1 +2 = 3 3

20 + -7 =

7.

Write a decimal number to show how much of the box above is shaded.

8.

Write a fraction to show how much of the box above is shaded.

9.

Write a percentage to show how much of the box above is shaded.

10.

Rewrite to create equivalent fractions:

11.

Over the weekend,Taylor played

1 2 ? 4 5 = = = = 2 ? 6 8 ?

2 of a level in her new computer game. 3

If each level has 6 rounds, how many rounds did Taylor play? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 28

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Number Sense Remember to convert numbers when needed! Directions: Complete each equation with <, > or =. a

c

b

1.

532

523

2.

89

3.

6729

4.

-34

5.

-6

6.

CCC

M

7.

XVI

XIV

8.

Matt read

89.0 6892 34 -9

XC

CX

0.45

4 7

0.54

6 7

10% 0.9

1.0

9 10

25% 3 ᎏ 6

0.03 1 ᎏ 2

501

CCXXX

XXXIX

38.0

44

44

32

10

102

100

66%

1 ᎏ 3

4 5

0.75

1 of a novel last night. Aliya read 30% of the same book.Who 4 read the greater amount of the book? Write the equation, conversion, and answer.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 29

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

F act Families Addition and subtraction are related. Here’s a fact family:

3+4=7

4+3=7

7–3=4

7–4=3

Directions: Time yourself to see how quickly you can complete these basic addition and subtraction pro bl e m s . a

b

c

d

e

1.

7 +4

8 +5

14 7

20 8

11 5

2.

5 +8

13 5

2 +8

5 +6

4 +5

3.

7 3

20 12

7 +7

9 4

9 5

a

c

b

4. 7 + 8 =

10 – 5 =

8+7=

5 . 12 – 6 =

15 – 7 =

3+5=

6. 8 + 9 =

17 – 9 =

6+6=

7. 8 – 5 =

5+7=

12 – 7 =

8. 7 + 5 =

17 – 8 =

8+5=

Directions: Complete these fact families. 9. 2 + 6 = 10. 7 + 3 = Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 30

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

P roperties of A ddition Learn to use these properties of addition. The Commutative Property says that you can add two numbers in either order and get the same sum. The Associative Property says that you can group 3 or more numbers in any way and get the same sum. The Identity Property says that the sum of any number and zero is that number. Directions: Write C if the equations demonstrate the Commutative P ropert y, A for Associative, and I for Identity. 1.

8 + 3 = 11

3 + 8 = 11

2.

5+0=5

0+7=7

3.

3 + (1 + 2) = 6

(3 + 1) + 2 = 6

4.

6 + (3 + 5) = 14

(6 + 3) + 5 = 14

5.

3 + 14 = 17

14 + 3 = 17

6.

6300 + 0 = 6300

0 + 6300 = 6300

7.

17 + 3 = 20

3 + 17 = 20

Directions: Write two examples to demonstrate each propert y. 8 . Commutative 9 . Associative 10. Identity

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 31

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R e g rouping in A ddition Always start by adding the ones column. Remember to regroup into the next greater place value. Directions: A dd . a

b

c

d

1.

45 + 34

94 + 13

570 + 375

248 + 713

2.

63 + 88

39 + 240

629 + 248

254 + 353

3.

309 + 221

572 + 407

104 + 823

496 + 205

4.

623 + 315

52 + 939

423 + 160

821 + 557

5.

572 + 306

678 + 485

374 + 246

702 + 699

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 32

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check A ddition Because addition and subtraction are inverse operations, you can use subtraction to check your addition. Directions: Write and solve a subtraction pro blem to check each sum. Circle the correct sum. a

c

b

1.

29 + 37 66

86 + 73 149

243 + 370 613

2.

52 + 48 90

33 + 77 112

409 + 77 486

3.

74 + 26 90

99 + 61 170

628 + 334 952

4.

538 + 57 595

206 + 129 435

835 + 275 1110

5 . Tony read 134 pages of a book one week and 247 the next. He figured that he'd read 371 pages in two weeks.Was he correct? Write Tony's addition equation.Then write a subtraction equation to check Tony's addition.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 33

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A d d T h ree or More A ddends To solve real life problems, you may need to add more than two numbers together. Directions: A dd . a

b

c

d

e

1.

43 84 + 67

23 72 + 375

19 97 + 13

24 39 + 202

39 57 + 28

2.

39 21 + 40

71 60 + 24

26 38 + 22

55 21 + 73

27 81 + 45

3.

18 6 24 + 22

85 93 16 + 50

72 82 75 + 21

96 38 96 + 117

63 8 320 + 44

Directions: R ewrite in ve rtical fo r m , then add . Remember to line up the digits in the ones place. a

b

4 . 67 +32 + 49 =

531 + 47 + 6082 =

5 . 720 + 93 + 6+ 400 =

293 + 444 + 20 +539 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 34

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dd Up to Four Digits Try adding numbers in the thousands.

Directions: A dd . a

b

c

d

e

1.

1689 + 201

247 + 7196

3077 + 4882

4510 + 2179

3846 + 5538

2.

723 + 3175

2624 + 3581

9967 + 1753

8335 + 4056

9091 + 4485

3.

6283 + 769

8354 + 2247

2048 + 3642

7741 + 8964

7746 + 5937

4.

6930 + 2043

734 + 7291

5171 + 5399

2392 + 6550

4289 + 6372

5.

9283 + 1418

4720 + 3949

7662 + 6374

5883 + 2457

2575 + 3486

Directions: R ewrite in ve rtical fo r m , then add . Remember to line up the digits in the ones place. a

b

6 . 2364 + 4729 =

923 + 4120 =

7 . 3196 + 5892 =

853 + 8174 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 35

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Decimals When you add decimals, line up the numbers on the decimal points.

Directions: A dd . a

b

c

d

e

1.

3.17 + 2.02

40.2 + 28.3

14.56 + 3.23

29.68 + 27.17

31.32 + 58.8

2.

24.6 + 49.7

71.5 + 1.89

0.63 + 2.47

46.7 + 58.84

7.108 + 0.297

3.

5.72 + 21.4

60.2 + 39.8

3.6 +5

95.09 + 8.92

4.09 + 276

4.

28.6 + 37.24

57.19 + 24.81

38.7 + 4.08

66.36 + 32.28

53.2 + 8.86

Directions: R ewrite each in ve rtical form, then solve. Remember to line up the decimal points. a

b

5 . 7.24 + 4.35 =

62.39 + 13.05 =

6 . 9.2 + 12.3 =

35.6 + 35 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 36

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Up to Seven Digits Adding numbers in the millions is the same as adding other numbers.You may need to regroup more than once. Directions: A dd . a

b

c

d

1.

34,972 + 58, 047

3, 453.9 + 6,540.48

73, 268.84 + 9, 437.4

196,836 + 2, 472, 299

2.

80,936 + 42,376

842,742 + 374,368

3, 458, 057 + 2,761, 087

3,685, 409 + 137,849

3.

619, 471 + 55,639

4,270,408 + 3, 468,692

2,563, 494 + 87, 465

4,379,841 + 6, 047

4.

538, 264 + 246, 455

7,386,609 + 1,814,811

4,995,892 + 43,885

275,326 + 1, 243,987

Directions: R ewrite in ve rtical fo r m , then solve. Remember to line up the digits in the ones place or on the decimal. a

b

5 . 710,524 + 85,329 =

6,342.84 + 7,259.58 =

6 . 91,367.2 + 258,481 =

2,658,057 + 3,573,482 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 37

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Add Greater Integers Adding a negative number and a positive is like subtracting.The sum will be positive or negative, depending on which addend is greater.

+

51310

640 + 345 295

345 640

Directions: Write P if the sum will be positive. Write N if the sum will be negative. a

c

b

1 . -30 + -70 =

12,000 + 45,300 =

140 + -30 =

2 . 50 + -320 =

-3,300 + -4,800 =

874 + -799 =

3 . -450 + 350 =

6,080 + -3,200 =

-703 + 400 =

Directions: A dd the integers. a

4.

30 + 70

5.

50 + 320

450 + 350

6.

b

12, 000 + 45,300

d

e

140 + 30

208 + 112

39 + 54

+ 4,800

874 + 799

862 + 142

230 + 500

6,080 + 3,200

703 + 400

213 + 25

85 + 46

c

3,300

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 38

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice A ddition Now put it all into practice! Directions: A dd .Write a subtraction pro blem to check your answe r. a

c

b

1.

57 + 29

580.3 + 339.8

275,326 + 1, 243,987

2.

48 + 13

92,556 + 325,304

639,185 + 490

3.

85 + 32

3, 470.9 + 4,828.04

3, 465,304 + 466,874

Directions: A dd .

4.

a

b

637 + 681

8, 306 +4,185

742,804 + 219,537

252 368 + 73

9182 + 735

699.32 + 240.809

6,082, 268 + 43,326

29 5 30 + 26

5.

c

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

Date 39

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice A ddition Remember to line up the addends on the ones place. Directions: R ewrite each in ve rtical form, then add . a

b

1 . 249 + 347 =

185 + 522 =

2 . 549 + 364 =

4,931 + 7,612 =

3 . 57,246 + 619.02 =

2,941.9 + 5,487 =

4 . -453 + 492 =

63,447 + 428,609 =

5 . -513 + -492 =

1,234,567 + 7,890,321 =

Directions: Write the letter of the property the equation shows. 6.

3,190 + 0 = 3,190

A. Associative

7.

45 + 63 = 63 + 45

B. Identity

8.

3 + (21 + 4) = (3 + 21) + 4

C. Commutative

Directions: Write an addition equation to go with the pro bl e m . S o l ve . 9 . Abby read 208 pages one week,132 the next, and 256 in the third week. How many pages did she read in all?

10. Andrew borrowed $208 to buy birthday presents for his twin sisters. He paid back $132. How much money does Andrew have?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 40

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R e g rouping in Subtraction When subtracting, start with the place at the far right.

415

554 283 271

Directions: S o l ve. R e g roup as needed. a

b

c

d

e

1.

75 34

85 24

409 77

672 308

619 471

2.

80 41

86 49

528 129

489 278

556 369

3.

339 229

249 163

933 467

525 343

345 275

4.

623 315

604 310

794 662

846 508

807 471

5.

572 306

752 336

582 491

666 333

936 736

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 41

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Subtraction Because subtraction and addition are inverse operations, you can use addition to check your subtraction. Directions: Write an addition pro blem to check each difference. Circle the correct diffe rence. a

c

b

1.

547 328 219

760 532 228

439 328 11

2.

389 299 190

684 457 237

288 197 91

3.

835 224 611

993 89 804

57 29 38

4.

351 274 83

527 429 102

775 504 271

5 . Ethan counted 64 steps from the school’s first floor to the third floor.When Ethan had climbed 27 steps, he said that he only had 47 more to go.Was he correct? Write Ethan's subtraction equation.Then write an addition equation to check Ethan's subtraction.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 42

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Two or More Subtrahends In real life problems, you may need to subtract more than two numbers. Subtract one at a time. Another strategy is to add the subtrahends together, then subtract their total from the minuend. 36 – 27 – 8 = ? 36 – (27 + 8) = ? 36 – 35 = 1 Directions: R ewrite the equations, then subtract. a

b

c

1 . 70 – 24 – 30 =

68 – 36 – 17 =

528 – 144 – 24 =

2 . 55 – 35 – 9 =

425 – 33 – 205 =

94 – 32 – 48 – 5 =

3 . 170 – 49 – 26 =

87 – 41 – 20 =

230 – 65 – 17 – 20 =

4 . 143 – 64 – 22 =

150 – 65 – 34 =

300 – 147 – 36 – 51 =

5 . Michael received $45 for his birthday. He bought a CD for $16.Then he bought a new joystick for $25. How much does Michael have left to spend?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 43

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to Four Digits Subtracting numbers in the thousands is the same as subtracting other numbers. Directions: Subtract. R e g roup when needed. a

c

b

1.

3, 465 3,352

8,506 6,322

4,720 3,949

2.

8,704 2,603

7, 031 4, 842

2,186 1, 038

3.

9, 347 7, 225

5, 372 1, 098

4,850 2,960

4.

8, 452 5, 429

9,688 7, 295

6, 973 894

5.

6, 927 4,883

3, 475 347

8, 075 3,326

Directions: R ewrite in ve rtical fo r m , then subtract. Remember to line up on the ones place. a

b

6 . 4,283 – 3,066 =

8,491 – 236 =

7 . 7,528 – 4,498 =

6,778 – 354 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 44

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Decimals When subtracting decimals, you can add a zero to hold a place.

7 - 2.5 = ?

7 2.5

610

7.0 2.5 4.5

Directions: Subtract. a

c

b

1.

5.3 2.4

12.6 3.8

43.07 24.2

2.

6.45 3.04

10.5 3.25

35.28 14.19

3.

2.68 0.09

27.48 14

4.009 0.23

4.

9.34 4.27

32 2.74

75.3 2.95

5.

14.56 3.23

9.8 7.9

48 26.7

Directions: R ewrite in ve rtical fo r m , then subtract. Remember to line up the decimals. a

b

6 . 9.75 – 6.5 =

24 – 13.7 =

7 . 74.3 – 2.01 =

15.8 – 3.04 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 45

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Up to Seven Digits Subtracting numbers in the millions is the same as subtracting other numbers.You may need to regroup more than once. Directions: Subtract. a

b

c

d

1.

45,728 32,671

75,678 66,533

478, 094 99,909

261, 035 152, 027

2.

64, 000 21,703

808, 459 785, 000

574,108 148,900

843, 454 735, 271

3.

58,362 41,955

907,543 643, 252

3,746,583 1,536,379

1, 036,130 572,614

4.

786, 450 534,384

3, 458, 057 2,761, 087

8,899,350 7,763,209

6,580, 262 3,673,152

Directions: R ewrite in ve rtical fo r m , then solve. a

b

5 . 450,369 – 235,852 =

743,927 – 21,638 =

6 . 4,387,256 – 2,297,149 =

2,951,062 – 1,832,443 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 46

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtract Integers Subtracting a negative number is like adding a positive. If the minuend is negative, set it up as a subtraction problem. -3 – -3 = 0

10 – -3 = 13

-3,022 – -3,023 = 1

-400 – -300 = -100

Directions: Write P if the answer is positive and N if the answer is negative. a

c

b

1 . 35 – 33 =

136 – 23 =

-500 – 35 =

2 . -25 – 23 =

-45 – -47 =

-200 – -198 =

3 . -200 – 13 =

50 – -25 =

4,020 – -90 =

Directions: Subtract. a

c

b

4.

35 33

136 23

500 35

5.

25 23

45 47

45 54

200 13

50 25

200 198

7.

61 30

16 21

70 30

8.

84 34

330 25

6.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

67 15

Date 47

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction You've learned a lot - now sharpen your skills!

Directions: Subtract.Then write an addition pro blem to check your answe r. a

1.

67 28

b

c

93 45

56 35

b

c

Directions: Subtract. a

2.

461 258

1,380 224

4,589 1, 470

3.

857 306

3, 079 1,562

50,312 37, 481

4.

63.36 54.27

21,305 18, 473

835 758

5.

538 285

46 3.99

265, 832 46, 740

6.

245,730 66,842

1,111,111 71,100

9,276 5,031

Directions: R ewrite in ve rtical fo r m , then subtract. a

b

82,756 – 41,768 =

7 . 4,147 – 309 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 48

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Subtraction Just a little more practice, and you'll have it!

Directions: Write and solve an addition pro blem to check each difference. Circle the correct diffe rence. a

1.

84 39 45

c

b

507 350 257

4824 930 3884

Directions: R ewrite in ve rtical fo r m , then subtract. a

b

2 . 673 – 347 =

752,582 – 4,673 =

3 . 1246 – 950 =

973 – 1039 =

4 . 35.27 – 20.356 =

-364 – -459 =

5 . 682.03 – 355 =

2,831 – 57.08 =

6 . 84,631 – 58,54 =

62,115 – 38,744 =

Directions: S o l ve. 7 . Nicole and Melissa were racing to finish reading a novel. One week Nicole was behind by 45 pages.The next week, she was behind by 23 more pages. If pages were points, how many fewer points would Nicole have than Melissa?

8 . Manny had 56 trading cards. He traded 18 of them to Julio for an action figure. How many cards did Manny have left?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 49

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Look for key words to help you decide what operation to use.

Addition word problems often involve putting sets of numbers together or gaining a certain amount. Clue words that may indicate addition include altogether, total, or in all. Subtraction word problems often involve comparing sets of numbers or losing a certain amount. Clue words that may indicate subtraction include difference, more, or borrow. Directions: Write the letter of the equation that matches each word p ro bl e m .Then solve. Remember to label your answers. A. 132 – 85 = B. 85 + 132 =

C. D.

-132 + 85 = -85 + 132 =

1.

Bryan read 85 pages of a novel one day and 132 pages the next. How many pages had he read in all?

2.

Paige had only 132 pages left to read of her novel.The next day, she only had 85 pages more to read. How many pages had she read in two days?

3.

Bryan was learning a new game. His score after the first round was -132. In round 2 he scored 85 points.What was his total score after two rounds?

4.

Paige borrowed 85 craft sticks from the art teacher for a project. Then she bought a bag of 132 craft sticks. After giving back the amount she owed, how many craft sticks did Paige have?

Directions: Write an equation and solve. 5 . Miguel bought a new pair of pants for $22.50 and a new pair of shoes for $34.95. How much did his clothes cost altogether? 6 . Katie tried on a skirt that cost $35.00 and another one that cost $28.50. What is the difference in the prices? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 50

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Look for key words that signal the operation to use. Directions: Write an equation, then solve. S h ow your work. Remember to line up the numbers in the equation correctly and to label your answers. 1 . Trevor’s city is 82 miles away from the next closest city.The state capital is another 96 miles beyond that city.Trevor says his city is 178 miles away from the capital. Is he correct? Write the addition equation Trevor used and a subtraction problem to check his addition. 2 . Cassie says that all of her relatives live until they are exactly 101 years old. She says that since she is 13 years old, she has 92 more years to live. Is her math correct? Write the subtraction equation Cassie used and an addition problem to check her subtraction. 3 . Trevor lives in the city. His school has 1,264 students. Cassie lives in a suburb. Her school has 856 students. How many more students attend Trevor's school than Cassie’s? 4 . The population of Trevor's city is 342,640 people. Cassie’s town is a suburb of Trevor's city.The population there is only 79,850 people. How many people live in the city and the suburb in all? 5 . Trevor’s baseball team scored 7 points in their first game, 14 points in the next, and 13 points in the third game. How many points did his team score in three games? 6 . Cassie had a gift certificate with $65 dollars on it. If she spent $14 on CDs and $37 on clothes, how much money did she have left on her certificate? 7 . Cassie had $154.62 in her savings account. She took out $80.50 to buy a new bike. How much is left in her account? 8 . The temperature was -5 degrees. It dropped another10 degrees overnight. What is the temperature?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 51

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview A ddition and Subtraction Be sure to watch your signs! Directions: S o l ve, then write an equation using the inverse operation to check your computation. a

b

1.

936 778

5,832 + 7, 041

2.

5,044 2,852

38, 428 27,842

3.

847 + 3,951

64,397 + 33, 465

Directions: S o l ve. a

c

b

4.

446 + 372

284 97

82.31 + 55.6

5.

756 + 243

3,814 3,248

1, 407.5 324.35

6.

568 369

341 79 + 115

53,496 + 471, 428

7.

4, 183 + 2,877

814.62 + 727.70

635, 038 + 284,972

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 52

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview A ddition and Subtraction Keep going—soon you’ll be ready for multiplication!

Directions: S o l ve. S h ow your work. 1 . 40 – 50 = 2 . -30 + 150 = 3 . 30 – -60 = 4 . -120 + -200 = 5 . -400 – -300 = 6 . 570 + -260 = 7 . 42,360 + 3,987 = 8 . 64,429 – 38,341 = 9 . 58.93 – 42.78 = 10. 842.36 + 59.7 = 11. 9,356 – 671.8 = 12. 75,340 + 2,974.83 = Directions: Write the letter of the matching equation, then solve . Remember to label your answers. A. $28 - $16 =? B. $-28 + $16 =?

C. 44,854 + 35,971 =? D. 44,854 - 35,971 =?

13. Centerville has a population of 35,971. Springfield has a population of 44,854.What is the difference in population of the two towns? 14. Centerville and Springfield are the largest cities in Bear County.What is the total population of the two? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 53

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Multiples The common multiples of 2 and 3 are 6, 12, 18, 24, and 30.The least common multiple is 6. Directions: Write the first 10 multiples of each number. 1.

4

2.

5

3.

6

4.

7

5.

8

6.

9

7.

10

8.

11

9.

12

10.

15

11.

20

12.

25

Directions: Write the common multiples of the two numbers give n . Circle the least common multiple. a

b

13.

2 and 4

8 and 9

14.

3 and 10

6 and 9

15.

5 and 6

3 and 7

16.

5 and 15

2 and 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 54

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Factors A factor of a number is a number that can evenly divide it. A common factor is a number that can divide two specific numbers evenly. Directions: List the factors for each nu m b e r. Remember that a ny number can be divided by itself. a

c

b

1. 3

8

11

2. 5

9

15

3. 6

10

12

4. 7

14

16

Directions: List the common factors for the two numbers give n , other than one, if any. Circle the greatest common factor. a

c

b

5 . 6 and 8

8 and 16

21 and 35

6 . 9 and 15

7 and 11

28 and 24

7 . 10 and 20

12 and 18

36 and 27

8 . 32 and 56

12 and 16

15 and 35

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 55

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Identify P rim e and Com posite Num bers The number 1 is unique—it is neither prime nor composite.

A prime number is a number that can only be divided by 1 and itself.

Directions: Circle the numbers that are prime. Underline the nu m b e r s that are composite. 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

Directions: Write the first thirteen prime numbers in order fro m least to greatest.

Date

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

56

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Prime Factorization You can express composite numbers using only prime numbers. 24 = 2 x 2 x 2 x 3 = 23 x 3

Directions: S h ow the prime factorization of these numbers. a

b

c

1.

18

8

4

2.

49

12

6

3.

35

20

30

4.

75

17

7

5.

64

25

9

6.

23

19

13

7.

15

32

65

8.

21

10

22

9.

50

16

24

10.

36

34

125

11.

19

60

77

12.

11

88

100

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 57

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplication Facts Time yourself on these easy facts!

Directions: S o l ve. a

b

c

d

e

f

1.

3 5

6 2

4 10

7 4

10 2

2 4

2.

4 7

7 8

8 2

5 8

3 0

3 8

3.

5 8

1 3

10 9

6 7

8 7

6 9

4.

9 3

2 7

0 6

9 8

5 5

7 10

Directions:

S o l ve .

a

b

c

d

5. 7 x 9 =

7x3=

3x8=

4x9=

6. 6 x 6 =

4x4=

9x9=

3x8=

7. 8 x 4 =

9x5=

7x1=

0x2=

8 . 10 x 5 =

3x3=

10 x 8 =

5x7=

9. 4 x 7 =

2x5=

5x6=

6x6=

10. 8 x 8 =

6x3=

7x7=

3x7=

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 58

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

P roperties of Multiplication Here are the five properties of multiplication

Identity Property: Multiply any number by one and you get the original number. 2000 x 1 = 2000 Zero Property: Multiply any number by zero and you always get zero. 63,000 x 0 = 0 C o m m u t a t i ve Property: Switch the numbers to be multiplied and you get the same answer. 3 x 7 = 21 7 x 3 = 21 Associative Property: Group three or more numbers differently and you get the same answer. 2 x (3 x 4) = 24 (2 x 3) x 4 = 24 Distributive Property: First add numbers in parentheses then multiply or multiply each addend by the number to get the same answer. (The same works for subtraction, as well.) A dd Numbers First 2 x (3 + 4) = 2x 7 = 14

Multiply First 2 x (3 + 4) = (2 x 3) + (2 x 4) = 6 + 8 = 14

Directions: Write an equation to demonstrate the named propert y. S o l ve , and show each step of the equation. 1 . Commutative Property 2 . Associative Property 3 . Distributive Property 4 . Identity Property 5 . Zero Property Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 59

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Check Multiplication and Division Just as addition and subtraction are inverse operations, so are multiplication and division. Use one to check the other. 4 x 14 = 46 Check by dividing. 46÷4 = 11 remainder 2. No, 4 x 14 does not equal 46. Try again. 4 x 14 = 56? Check by dividing. 56÷4 = 14. Yes, you are correct.

Directions: Write an inverse pro blem to check each equation, t h e n solve it. a

b

1.

26 2 42

8 14 102

2.

60 9 540

3 27 71

3.

6 19 114

4 46 184

4 . Cory Nash scored 9 points for his basketball team in one game. He hoped to do this each of their 21 games. If he did he said that he would reach 189 points and break the league record. Is his multiplication correct? Write Cory's equation.Then write a division equation to check it.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 60

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Up to Four Digits by One Digit Multiply numbers in the thousands just as you would other numbers. Remember to regroup as needed. Directions: Multiply. a

b

c

d

e

1.

523 5

4,618 6

7, 226 5

9, 231 9

1,938 9

2.

732 8

7, 204 7

4, 999 3

1,798 6

3,145 6

3.

4.

1, 470 4

5.

6.

8, 044 2

2, 891 6

6, 238 3

3,592 9

9,027 8

5, 087 6

3, 814 4

2,345 2

2,675 8

6,183 7

8,752 4

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

6,749 2

5, 376 8

4,641 7

8,095 5

9, 407 6

3, 482 4

2, 774 3

7, 853 4

Date 61

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals When multiplying decimal numbers, first bring down the decimal point.

If both numbers have a decimal, count the places in both and move the decimal in the product to the left that amount.

3.06 0.4 1.224

Directions: Multiply. a

b

c

d

e

1.

1.3 2

92 0.6

1.25 8

43.71 6

241 0.3

2.

4.9 3

3.5 0.5

12.5 8

6.32 7

72 0.04

3.

26 0.8

0.81 0.7

1.25 8

0.703 0.1

5.13 0.6

4.

57 .4

0.74 0.9

125 0.8

98.14 0.3

80.8 0.8

5.

2.1 0.5

1.06 4

125 8

34.5 2

13.4 0.002

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 62

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Up to Seven Digits by One Digit Multiply numbers in the millions just as you would other numbers, starting with the digit with the least place value. Directions: Multiply. Remember to re g roup as needed. a

b

c

d

1.

42,968 3

92,173 2

857,643 7

3,104,526 2

2.

57,366 7

801,692 9

370,517 5

6,093,742 5

3.

84, 450 4

780,941 6

1,356, 290 3

2, 488, 473 3

4.

26,739 8

963,314 4

4,812, 295 4

7, 212,909 4

5.

38,505 5

236, 485 6

524,786 8

4,503,721 7

6.

76, 438 6

471, 033 2

869,305 6

1,954,836 6

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 63

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Integers Here are the rules for multiplying integers.

A positive integer multiplied by another positive integer is always a positive. If you multiply a positive by a negative or a negative by a positive, the product is always negative. 4 x -15 = -60 If you multiply a negative by a negative, the product is always a positive. -7 x -11 = 77 Directions: Write P if the product is positive, N if it is negative. a

c

b

1 . -43 x 5 = ?

38 x 6 = ?

-26 x -9 = ?

2 . -29 x -7 = ?

57 x -4 = ?

-45 x 1 = ?

Directions: Multiply. Remember to watch the signs! a

b

24 3

3.

43 5

4.

29 7

141 6

38 6

35 8

5.

c

587 9

518 6

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

326 5

d

735 9

6,381 7

8,205 3

Date 64

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Two Digits by Two Digits To multiply a number by a two-digit number, first multiply by the digit in the ones place.Then multiply by the digit in the tens place.

36 24 144 + 720 864 Directions: Multiply. a

b

c

d

1.

48 13

77 35

25 76

79 27

2.

52 26

62 48

33 24

54 68

3.

83 71

18 83

94 52

37 44

4.

39 28

46 67

17 87

91 56

5.

94 50

81 99

58 68

48 89

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 65

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Up to Four Digits by Two Digits Multiplying four-digit numbers is the same as multiplying two-digit numbers. Directions: Multiply. a

b

c

d

1.

356 25

139 99

9,521 53

8,133 93

2.

704 18

730 36

3, 043 22

3,148 71

3.

285 36

4.

417 64

568 87

2, 876 80

5.

825 53

643 72

2, 431 41

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

4,927 36

7,748 54

5,059 82

6,283 47

9,812 35

Date 66

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Decimals Multiplying large numbers with decimals is no different than with other numbers. Remember to put the decimal point in the correct place. Directions: Multiply. a

b

c

d

1.

81 0.4

96 .58

0.742 31

7.782 .45

2.

7 3.6

3.35 2.6

28.7 2.8

7.056 8.5

3.

5.7 17

94.2 1.1

85.01 6

70.56 8.5

4.

4.9 6.5

4.4 4.4

49.34 .72

705.6 8.5

5.

60.8 4.2

1.46 7.9

1.316 9.3

7056 8.5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 67

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

M u l t i p ly Up to Seven Digits by Two Digits Multiplying numbers in the millions is the same as multiplying other numbers. Start by multiplying the ones place. Directions: Multiply. a

b

c

d

1.

51, 409 63

670, 453 53

6, 427, 033 63

3,172, 480 46

2.

74,623 48

1, 083,627 24

4,880,616 47

523, 099 37

3.

204,378 71

5, 246,193 77

933, 062 35

7,191,325 58

4.

836, 414 35

735, 288 18

864,877 74

8,762,310 79

5.

46,980 12

1, 234,567 89

2,349,912 21

6,930, 087 84

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 68

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Division Facts Time yourself to see how quickly you can complete these basic division facts. Directions: Divide. a

b

c

d

e

1 . 28 ÷ 7 =

36 ÷ 6 =

16 ÷ 8 =

80 ÷ 10 =

6÷1 =

2 . 40 ÷ 5 =

42 ÷ 7 =

35 ÷ 5 =

40 ÷ 8 =

30 ÷ 5 =

3 . 20 ÷ 10 =

14 ÷ 2 =

28 ÷ 4 =

24 ÷ 3 =

9÷9 =

4 . 48 ÷ 6 =

72 ÷ 8 =

54 ÷ 6 =

18 ÷ 2 =

16 ÷ 2 =

5 . 81 ÷ 9 =

15 ÷ 3 =

63 ÷ 9 =

32 ÷ 8 =

50 ÷ 10 =

6 . 18 ÷ 6 =

24 ÷ 4 =

64 ÷ 8 =

9÷3 =

72 ÷ 8 =

7 . 56 ÷ 8 =

100 ÷ 10 =

16 ÷ 4 =

40 ÷ 4 =

14 ÷ 7 =

8 . 45 ÷ 9 =

14 ÷ 7 =

30 ÷ 3 =

12 ÷ 6 =

45 ÷ 9 =

9 . 21 ÷ 3 =

8÷4 =

27 ÷ 9 =

12 ÷ 3 =

70 ÷ 10 =

10. 30 ÷ 5 =

32 ÷ 8 =

30 ÷ 6 =

8÷4 =

55 ÷ 5 =

11. 12 ÷ 6 =

10 ÷ 2 =

45 ÷ 5 =

36 ÷ 9 =

3÷3 =

12. 72 ÷ 9 =

20 ÷ 5 =

27 ÷ 9 =

56 ÷ 7 =

22 ÷ 11 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 69

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Two Digits by One Digit Don't let the numbers overwhelm you—take division one step at a time.

Directions: Divide. a

b

c

1.

5 90

3 90

2 48

3 99

2.

4 68

4 88

6 96

5 95

3.

2 72

3 75

3 81

8 80

4.

3 51

8 96

5 70

2 66

5.

7 98

7 91

9 99

4 72

6.

8 88

5 85

7 84

7 77

Name Math Computation Skills and Strategies, Level 6 Saddleback Publishing, Inc. ©2006

d

Date 70

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Up to Four Digits by One Digit Practice dividing with some larger numbers.

Directions: Divide.

1.

a

b

4 136

)

8 512

)

3 1,686

)

6 2, 982

)

7 5, 467

)

9 2, 952

2.

5 235

3.

8 408

4.

5.

2 978

3 966

c

)

7 1, 820

)

2 7,244

)

4 2,288

)

5 4, 235

)

8 7,776

Name Math Computation Skills and Strategies, Level 6 Saddleback Publishing, Inc. ©2006

d

)

9 6,642

)

)

6 3,174

)

7 5,733

)

3 1,872

)

4 3, 452

)

)

)

)

Date 71

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide With and Without Remainders Sometimes a number does not divide another evenly.The letter R stands for remainder.

3R1 310

Directions: Divide. Remember to write the remainder if there is one.

1.

2.

3.

4.

5.

a

b

6 55

)

5 326

)

4 1,380

)

7 7, 077

)

2 3,471

)

5 1, 050

4 79

3 81

9 125

8 900

c

)

6 2, 476

)

3 1,557

)

2 115

)

5 3,297

)

9 349

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

)

8 265

)

)

6 1,284

)

7 349

)

4 1,618

)

3 2,164

)

)

)

)

Date 72

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals To divide a decimal, first place a decimal point in the quotient above the decimal point in the dividend. Add a zero if needed to hold a place. 10.1 5 50.5

. 5 50.5

If there is no decimal point in the dividend, but there is one in the divisor, add a zero to the dividend for each place value after the decimal point in the divisor. 100 5.12 51,200

5.12 512

)

Directions: Divide. a

b

c

d

1.

6 3.6

710.5

41.6

416.4

2.

3 9.3

8 0.64

0.02 76

0.5 320

3.

0.2 98

0.06 48

0.7147

0.3 0.0012

4.

0.05 75

0.9 360

61.44

8 3.68

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 73

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Decimals by Decimals If both the dividend and divisor are decimal numbers, count the decimal places in the divisor. Move the decimal in both the divisor and the dividend to the right by that amount. Add zeroes if needed.

0.05 7.5

150 5) 750 5 25 25 00

Directions: Divide. a

b

c

1.

0.6 8.4

8 6.4

0.8 7.2

2.

0.31.44

0.061.56

0.061.5

3.

7 0.35

0.3 2.73

418.2

Directions: Use what you know about dividing decimals to solve this word pro bl e m s . 4 . Mariah and her dad were building shelves in the garage.The wood was 10.5 feet long. If they cut the wood into 4 boards, how long would each board be?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 74

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Remainders into Decimals Add a decimal after the ones place in the quotient and continue to divide.

Directions: Divide completely. Round any repeating decimals to the nearest tenth. a

b

c

d

1.

4 79

8 900

4 62

3 992

2.

3 81

2 3,471

5 326

5 5, 003

3.

9125

5105

2 7,134

6 668

4.

5 326

6 2, 476

)

9 349

6195

5.

4 5, 817

)

8 965

5 217

)

)

)

5 8,356

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

)

Date 75

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide by Two Digits To divide by two-digit numbers, use the same steps as dividing by one-digit numbers. Directions: Divide. a

b

c

d

1.

12 444

50 451

25 325

30 813

2.

35 735

42 210

40 600

54 1,674

3.

17153

11555

39 936

71 4, 760

4.

80 480

23 322

17 750

62 3, 224

5.

18 992

25 5, 003

24 660

12 843

)

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

)

)

)

Date 76

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Up to Six Digits by Two Digits Divide larger numbers using the usual strategy—do one step at a time.

Directions: Divide. a

b

c

1.

13 2990

55 3025

2314,766

2.

271242

74 34,500

82 20, 420

3.

3219,872

1813, 086

15 315,153

4.

49 2450

65 280,813

47 274,809

5.

3319,140

40 93,640

84 21,504

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 77

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Integers Here are the rules for dividing integers.

A positive integer divided by another positive integer is always a positive. A negative divided by a positive or a positive by a negative, you always get a negative integer. 125 ÷ -5 = -25 Divide a negative integer by a negative, and you always get a positive. -230 ÷ -10 = 23 Directions: Write P if the quotient is positive, N if it is negative. a

1 . 196 ÷ -14 =

c

b

-135 ÷ 3 =

-108 ÷ -12 =

d

-135 ÷ 3 =

Directions: Divide. S h ow your work. Remember to watch the signs. a

b

c

2 . 196 ÷ -14 =

-108 ÷ -12 =

-135 ÷ 3 =

504 ÷ 9 =

3 . 624 ÷ -8 =

-1246 ÷ -7 =

-852 ÷ 12 =

5,166 ÷ -9 =

4 . -108 ÷ -18 =

-88 ÷ 11 =

-340 ÷ 5 =

-1,525 ÷ -25 =

5 . -3817 ÷ 11 =

952 ÷ -56 =

-198 ÷ -9 =

77,112 ÷ -36 =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

Date 78

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Use your multiplication and division skills to solve these real-life problems.

Directions: S o l ve . S h ow your work. 1 . Each week over the summer, Lucas made $180 at his job at a doctor's office. If he worked for 11 weeks, how much did he make that summer?

2 . If Lucas worked 30 hours each week, and he worked 6 hours each day, how much did he make per hour?

3 . Lucas worked for 3 hours on a Sunday and made twice his hourly rate. How much did he earn for working on Sunday?

4 . Jenna had worked at the office longer than Lucas. She made $6.25 an hour. If Jenna worked 5 hours a day, how much did she make every day?

5 . A parking garage nearby charges $6.25 to park for a day. If 5 people carpool and split the cost of parking, how much does each person chip in?

6 . Lunch costs $2.50 per day. How much will Lucas and Jenna pay altogether for their lunches for 5 days?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 79

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s You have all the skills you need to solve these word problems.

Directions: Write an equation, then solve. 1 . Jacqui knows that the tree in front of her house is 13.5 feet tall. Since there are 12 inches in a foot, she says that the tree is 162 inches tall. Is she correct? Write the multiplication equation Jacqui used and a division problem to check her multiplication.

2 . Jacqui buys 25 pounds of birdseed for $5.50. How much is the seed per pound?

3 . Garrett sells his onions for $.35 per pound. If he sold 1,254 pounds that year, how much did he make for his family?

4 . Jacqui put out a birdfeeder on her tree with perches for 8 birds at a time. If she counted 67 birds making trips to her feeder, how many turns did the birds have to take to sit on a perch?

5 . Garrett's dad had 9,500 pounds of fertilizer to spread over their 400 acres of land. How much fertilizer would they use on each acre?

6 . Jacqui estimates that the tree in her garden has about 45 branches and each branch has 850 leaves. How many leaves would Jacqui estimate her tree has?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 80

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Multiplication and Division Use what you know about multiplication and division.

Directions: S o l ve. S h ow your work. a

b

c

1.

342 2

38 7

0.3198.3

12146

2.

603 52

911 3

8 41

24 864

3.

48

8,437 5

2 70

3 61

4.

47 62

74.9 6

13 936

5 36.5

5.

6 342

3.25 2.5

6 90

0.5 243.5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

d

Date 81

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Multiplication and Division Look at how much you've learned!

Directions: S o l ve. S h ow your work. a

c

b

1 . -5 x 11 =

11 x 10 =

2 . -6 x -12 =

3 . 13 x -7 =

d

600 ÷ -30 =

-144 ÷ -12 =

-80 x -70 =

-1,400 ÷ 5 =

160 ÷ -80 =

-900 x 12 =

3,300 ÷ 10 =

-65 ÷ 13 =

Directions: Write the prime factorization of these numbers. a

b

c

d

4 . 16

37

60

81

5. 8

15

35

94

Directions: Write the letter of the matching equation, then solve . A. 80 x 31 =

B. 3,770 ÷ 104 =

C. 3,770 ÷ 99 =

D. 80 x 3.1 =

6 . If Gilbert School has 3,770 students and 99 classes at once, how many students are in each class?

7 . Last year, each class at Gilbert had exactly 31 students.There were 80 teachers there, so how many students attended last year?

8 . This year, Gilbert has 104 teachers. If each teacher has a home room for the 3,770 students, about how many students are in each?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 82

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dding With Like Denominators To add fractions with like denominators, simply add the numerators.To add mixed numbers, add fractions first, regroup if needed, then add the whole numbers. Directions: A dd . Remember to reduce fractions to simplest terms. a

b

1.

1 1 + = ____ 2 2

5 1 + = ____ 8 8

2.

3 2 + = ____ 4 4

3 3 + = ____ 10 10

3.

2 2 + = ____ 5 5

1 3 + 6= ____ 2

4.

3 6 + = ____ 7 7

1 3 +1 = ____ 16 16

5.

1 2 3 + = ____ 3 3

2 2 6 + = ____ 3 3

6.

1 1 2 +1 = ____ 6 6

1 1 7 + = ____ 2 2

7.

3 1 2 + 2 = ____ 5 5

5 6 + = ____ 8 8

8.

2 2 4 + 3 = ____ 3 3

4 5 + = ____ 9 9

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 83

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dding With Unlike Denominators To add fractions with unlike denominators, convert fractions using the least common multiple of the denominators. Directions: A dd . Remember to reduce fractions to simplest terms, if needed. a

b

1.

2 1 + = ____ 5 2

1 1 2 + = ____ 10 2

2.

1 5 + = ____ 3 6

5 1 + 2 = ____ 3 6

3.

3 3 + = ____ 8 16

1 6+ 7 = ____ 4

4.

1 2 + = ____ 3 7

2 1 5 +1 = ____ 9 5

5.

1 2 + = ____ 6 9

1 3 3 + = ____ 4 4

6.

3 1 + = ____ 7 6

2 1 8 + 3 = ____ 3 7

7.

1 3 + = ____ 2 8

1 2 5 + 2 = ____ 2 3

8.

2 4 + = ____ 3 5

3 1 + 3 = ____ 8 2

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 84

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Subtracting With Like Denominators To subtract fractions with like denominators, simply subtract the numerators.To subtract mixed numbers, subtract fractions first, borrowing from the whole number if needed.Then subtract the whole numbers. Directions: Subtraction. Remember to reduce fractions to simplest terms. a

c

b

1.

2 1 = ____ 3 3

13 8 = ____ 15 15

5 1 = ____ 6 6

2.

4 2 = ____ 5 5

3 1 = ____ 4 4

7 5 = ____ 8 8

3.

7 5 = ____ 8 8

5 2 = ____ 9 9

1 1 = ____ 2 2

4.

3 5 5 2 2 5

1 2

6 3

3

1 2

5.

2 7 6 7 7

2 3 1 1 3

1 4 3 2 3 3

6.

4

2 8 3 1 8

2 5 4 2 5

8

2 3

2

4

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

7

Date 85

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S ubtracting With Unlike Denom inators To subtract fractions with unlike denominators, convert to fractions using the least common multiple of the denominators. Directions: Subtract. Remember to reduce fractions to simplest terms, if needed. a

b

c

1.

6 1 = 7 5

3 1 = 8 3

9 2 = 10 7

2.

3 1 = 4 2

7 1 = 9 4

5 2 = 6 9

3.

4 1 = 5 3

2 1 = 3 2

13 2 = 16 3

4.

1 5 2 1 2 4

1 8 3 1 5 2

4 3 8

5.

3 5 3 1 4

5 1 9 6 9

1 2 4 2 8

6.

4 9 2 3 3

3 4 1 1 3

1 3 3 1 1 5

2

6

2

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

7

Date 86

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Positive and Negative Fractions Here are the rules for adding and subtracting positive and negative fractions.

The sum of two negative fractions is always negative. 3 + 4

1 = 2

5 1 = 1 4 4

Adding a negative fraction to a positive is like subtracting. It can be positive or negative, depending on which digit is greater.

5 1 1 + = 6 3 2

1 1 3 + = 2 5 10

Subtracting a negative fraction is like adding. 1

1 1 =1 4 4

Directions: Write P if the answer is positive or N if the answer is negative. a

1.

7 1 = ____ 8 2

1 4

2.

7 + 8

3.

2 1 + = ____ 3 4

1 = ____ 2

c

b

2 + 5

2 = ____ 3

6 + 7

1 = ____ 8

2 1 = ____ 5 8

1 8

3 = ____ 8

1 = ____ 2

3 + 10

3 = ____ 5

Directions: S o l ve. a

b

4.

7 1 = ____ 8 2

1 4

5.

7 + 8

6.

2 1 + = ____ 3 4

1 = ____ 2

2 + 5

2 = ____ 3

1 = ____ 8

2 1 = ____ 5 8

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 87

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Multiplying Fractions When you multiply fractions, multiply the numerators and then the denominators.

Directions: Multiply. Remember to reduce or express products in simplest form. a

b

c

1.

3 1 = ____ 4 3

1 10= ____ 4

7 3 = ____ 10 12

2.

1 2 = ____ 5 9

2 1 = ____ 9 2

8 1 = ____ 9 3

3.

3 1 = ____ 7 2

1 9= ____ 8

3

4.

1 3 = ____ 3 4

2 2 = ____ 3 5

1 3 = ____ 4 4

5.

3 1 = ____ 8 4

5 1 = ____ 6 10

5 2 = ____ 16 3

6.

4 3 = ____ 5 8

7 7 = ____ 8 8

1 2= ____ 8

7.

3

2 = ____ 3

1 3 = ____ 6 4

5 3 = ____ 6 4

8.

1 4= ____ 5

3 = ____ 7

4 3 = ____ 5 4

7

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

2 = ____ 7

Date 88

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Multiplying Fractions A shortcut when multiplying fractions is to cancel out compatible numbers when they occur. 1

3 51 1 = 5 15 155

Directions: Multiply. a

b

c

1.

2 5 = ____ 5 8

2 1 = ____ 3 2

7 1 = ____ 8 3

2.

1 8 = ____ 4 9

4 2 = ____ 10 5

8

3.

2 9 = ____ 3 10

10

4.

1 4 = ____ 2 5

1 9 = ____ 3 10

7

5.

3 3 = ____ 5 7

2 1 = ____ 5 3

2 6 = ____ 3 7

6.

2 6= ____ 3

7 3 = ____ 8 4

4 2 = ____ 5 5

7.

4

5 = ____ 6

3 8= ____ 4

2 = ____ 3

12

1 = ____ 4

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3 = ____ 16

3 5 = ____ 10 9 1 = ____ 4

Date 89

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Multiply Mixed Numbers When multiplying mixed numbers, convert them to improper fractions first. Remember to cancel out compatible numbers when you can. Directions: Multiply. a

b

c

1.

1 1 3 = ____ 3 2

2 9 4 = ____ 3 10

1 1 1 = ____ 5 10

2.

1 3 1 = ____ 4 4

4 2 7= ____ 5

6 5 2 = ____ 7 7

3.

3 4 8= ____ 8

2 7 4 = ____ 5 9

1 31 = ____ 3

4.

1 6 = ____ 3

1 1 1 = ____ 7 2

1 2 2 = ____ 5 9

5.

1 9 2 = ____ 4

5 2 2 = ____ 8 3

1 2 3 = ____ 3

6.

2 5 2 = ____ 3 8

1 1 1 4 = ____ 3 5

1 4 6= ____ 4

7.

1 1 3 = ____ 2 2

1 1 3 = ____ 2 3

2 1 5 3 = ____ 3 9

8.

1 1 2 2 = ____ 3 4

1 6 3 = ____ 4

2 3 8 3 = ____ 5 7

9.

2 7 3= ____ 5

1 5 3 = ____ 2

9 3 5= ____ 10

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 90

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Dividing Fractions Dividing by a fraction is the same as multiplying by the divisor's reciprocal.

1 1 1 4 4 2 ÷ = = = =2 2 4 2 1 2 1

Directions: R ewrite each division pro blem as a multiplication p ro blem using the divisor's reciprocal.Then solve . a

b

1.

1 18÷ = ____ 3

3 1 ÷ = ____ 5 10

2.

2 2 ÷ = ____ 3 3

5 2 ÷ = ____ 9 3

3.

5÷

1 = ____ 2

9 1 ÷ = ____ 10 2

4.

5÷ 2= ____

3 2 ÷ = ____ 4 3

5.

4÷

1 = ____ 8

1 1 ÷ = ____ 2 2

6.

1 ÷ 8= ____ 4

1 1 ÷ = ____ 2 3

7.

2 1 ÷ = ____ 7 2

3 2 ÷ = ____ 4 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 91

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Practice Dividing Fractions You can use the shortcut of canceling compatible numbers when dividing fractions, too. Directions: R ewrite each division pro blem as a multiplication p ro blem using the divisor's reciprocal.Then solve . a

b

1.

1 1 ÷ = ____ 3 12

2.

3÷

3.

4 ÷ 2= ____ 5

3 ÷ 7= ____ 7

4.

4 1 ÷ = ____ 5 2

4 1 ÷ = ____ 5 2

5.

1 ÷ 3= ____ 3

2 1 ÷ = ____ 9 4

6.

3÷

1 = ____ 3

2 ÷ 4= ____ 9

7.

1 1 ÷ = ____ 2 2

8÷

8.

1 1 ÷ = ____ 2 8

1 3 ÷ = ____ 8 4

3 ÷ 3= ____ 8

1 = ____ 12

2 2 ÷ = ____ 15 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3 = ____ 4

Date 92

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Divide Mixed Numbers When dividing mixed numbers, convert them to improper fractions first.

Directions: Divide. a

b

1.

1 4 ÷ 2= ____ 2

1 3 ÷ 5= ____ 5

2.

1 3÷1 = ____ 3

1 1 8 ÷ = ____ 6 6

3.

1 1 9 ÷ = ____ 5 10

2 9÷ 3 = ____ 3

4.

4 2 ÷ 2 = ____ 7 7

5 3 5 ÷ = ____ 8 7

5.

1 18÷ 2 = ____ 3

3 4 ÷ 3= ____ 4

6.

1 3 ÷ 5= ____ 8

5 5 ÷ 2 = ____ 6 16

7.

3 1 2 ÷ = ____ 4 2

1 6÷ 4 = ____ 2

8.

3 1 ÷ = ____ 7 3

4 1 4 ÷1 = ____ 5 5

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 93

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Positive and Negative Fractions Here are the rules for multiplying and dividing positive and negative fractions.

When you multiply or divide two positive fractions, the answer is always positive. When you multiply or divide two negative fractions, the answer is always positive. When you multiply or divide a negative by a positive or a positive by a negative, the answer is always negative.

Directions: Write P if the answer is positive or N if the answer is negative. a

1.

2.

3 1 = ____ 4 3

1 ÷ 5= ____ 10

c

b

2 3

8÷

3 = ____ 4

1 = ____ 2

1 8

1 = ____ 2

1 2 ÷ = ____ 6 3

Directions: Multiply or divide. a

3.

4.

1 ÷ 5= ____ 10

5.

1 1 ÷ = ____ 3 6

6.

3 1 = ____ 4 3

6÷

2 = ____ 5

2 3

8÷

1 2 ÷ = ____ 4 3

5 8

3 = ____ 4

1 = ____ 2

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

c

b

5 = ____ 6

1 8

1 = ____ 2

1 2 ÷ = ____ 6 3

6

2 ÷ 3

2 = ____ 5

2 = ____ 3

Date 94

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Multiplication problems often involve putting together sets of equal numbers. Division word problems often involve splitting up a group into equal parts. Directions: S o l ve.

1 1 . In learning the martial art of judo, Brian practiced for 1 hours a day. 2 1 Almost of that time was spent working on throws. How much of his time 4 did he work on throws?

1 2 . Brian also needs to lift weights. For each hour Brian spends lifting weights, 2 1 he needs to spend more practicing judo. How much time does he need to 4 1 spend practicing judo for each hour he weight-lifts? 2

3 . At judo practice, they worked on striking for about 2 hours a week.This is 2 about the amount of time they spend on arm locks. How much time do 5 they spend on arm locks?

1 1 4 . Brian worked out for 2 hours one day. For of the time, he did weight4 3 lifting. How much of the time did he weight-lift?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 95

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Now for some real-world fraction problems. Directions: Write the letter of the equation that matches each word pro bl e m .Then solve. Remember to label your a n swers. A.

3 1 = ____ 4 2

C.

1 8 ÷ 4= ____ 2

B.

1 3 3 ÷1 = ____ 2 4

D.

1 8 4= ____ 2

1 3 1 . Molly does karate. She broke a 3 foot board into 1 pieces. How 2 4 many pieces did she make? 1 2 . Molly works out 8 hours each week. If she works out 4 days a week, 2 how many hours does she work out each day? 3 3 . Molly helped her mom cook dinner. Molly chopped cup of onion, but 4 1 then only used of what she cut up. How much onion was used? 2 4 . Molly is 4 feet tall. She calculated that if spread out in a line, the onion would be 81 times taller than she is. How tall would the onion be? 2 Directions: Write a multiplication word and a division word pro bl e m using fractions or mixed numbers.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 96

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Fractions Make sure to watch the signs so that you perform the correct operation!

Directions: S o l ve. a

b

c

1.

2 2 + = ____ 3 3

1 5 1 = ____ 6 6

1 1 = ____ 2 3

2.

3 1 + = ____ 5 5

4 1 = ____ 7 3

1 1 3 = ____ 4 5

3.

7 3 +1 = ____ 8 8

2 3 + = ____ 9 5

5 1 ÷ = ____ 6 3

4.

3 1 + = ____ 4 2

3 2 = ____ 4 3

1 1 ÷ = ____ 4 2

5.

7 2 = ____ 9 9

2 3 = ____ 3 4

1 1 1 ÷ = ____ 3 6

6.

4 2 = ____ 5 7

1 2 ÷ 3= ____ 6

3 8 = ____ 4 9

7.

2 5 4 +4 5

3 1 4 1 +5 2

2 3 3 +2 5

3 7 6 2 7

1 5 3 6 4

8.

2

3 1 1 3

2

6

7

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 97

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Fractions Now you can solve fraction problems in half the time.

Directions: S o l ve. a

b

1.

2.

1 + 4

3 = _____ 4

2 3

3.

1 3

1 = _____ 6

1 3 + = _____ 4 4

1 ÷ 3

c

5 = _____ 8

2 = _____ 3

5 1 + = _____ 7 2

5 ÷ 4= _____ 6

1 3 1 = _____ 3

4 + 5

1 = _____ 2

Directions: Write the letter of the matching equation, then solve . Remember to label your answers and show all your work. A.

1 1 ÷ 2 3

B.

2 1 3 4

C.

1 1 1 2 2

D.

1 1 ÷8 2

2 1 of a can of paint. It took of what she used to paint 3 4 her favorite chair. How much of the paint did it take to paint the chair?

4 . Sierra used

1 5 . Sierra makes her own dye. She only has enough henna leaves to make cup 2 1 of dye, the amount she wants to make. How much does she want to make? 3 1 6 . Sierra has 1 cups of dye. If she dyes 8 shirts, how much dye can she use 2 on each? 1 1 7 . Sierra spent 1 hours working on her art today. She spent the time 2 2 working with fabric. How much time was that? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 98

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Use Order of Operations To solve any equation, perform the operations in the order given below.

3 (4 + 6) + 2 – 3 = ? operations in parenthesis 3 (10) + 2 – 3 = ? multiplication or division from left to right 30 + 2 – 3 = ? addition or subtraction from left to right 32 – 3 = 29 Directions: Follow the order of operations to solve each equation. S h ow your work. a

b

c

1 . 3 x 4 + (6 + 2) – 3 = ?

81 ÷ (9 + 7 + 2 +9) = ?

(3 x 20 + 4) x 20 = ?

2 . (1 + 9) + 3 x 3 = ?

81 ÷ 9 + (7 + 2 + 9) = ?

5x9–5x4=?

3. 8 – 6 ÷ 3 – 2 = ?

(6 x 40) + 50 = ?

5 x (9 – 5) x 4 = ?

4. 5 + 3 x 6 + 1 = ?

6 x (40 + 50) = ?

5 x (9 – 5 x 4) = ?

5 . (5 + 3) x (6 + 1) = ?

6 x 40 + 50 = ?

(7 +3) x 2 + 9 = ?

6 . (5 +3) x 6 + 1 = ?

3 x 20 + 4 x 20 = ?

7 +(3 x 2) + 9 = ?

7 . 81 ÷ 9 + 7 + 2 + 9 = ?

3 x (20 +4) x 20 = ?

7 + 3 x (2 + 9) = ?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 99

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Write Equations An equation is a math sentence with equal amounts on both sides of an equals sign. A variable often stands for an unknown amount.

1 the size of a real car. 24 If the headlights on the actual car are 3 inches tall, how tall are they on the R/C car? h stands for the height of the headlight 3 1 = h 24 3 The headlights on the R/C car =h 24 1 are inch tall. 1 8 =h 8 Pete has a radio-controlled (R/C) car that is

Directions: S o l ve. 1 . Pete has another R/C car with a wing on the back that is 2 inches long. If the car itself is 28 times larger than the R/C car, how large is its wing? 2 . To run his R/C cars, Pete charges his batteries for 15 minutes to get 10 minutes of running time. About how much charging time does it take to make a minute of running time? 3 . Pete added up the value of the R/C cars he owned. He owned 5 R/C cars that cost around $20. He owned 3 R/C cars that cost around $50. He owned 1 R/C car that cost $150.What is the total value of Pete’s R/C cars? 4 . For his birthday Pete's folks gave him $25. His grandpa gave him $5. Pete 1 used of his birthday money to buy parts for his R/C cars. How much did 3 he spend on car parts? 5 . With the motor it came with, one R/C car can go up to 18 miles an hour. With another motor, the car can go up to 25 miles an hour.What percent does the slower motor do compared to the faster? (Remember, to find percent, multiply by 100.)

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 100

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Equations To solve equations, first perform all calculations. Then isolate the variable using inverse operations. Whatever you do to one side of the equation, you must do to the other side. 5x – 1 ⫽ 29

t⫹t⫹t⫽6

5x –1 ⫹ 1 ⫽ 29 ⫹1 5x ⫽ 30

3t ⫽ 6 3t ÷ 3 ⫽ 6 ÷ 3

5x ÷ 5 ⫽ 30 ÷ 5 x⫽6

t⫽2

Directions: Use inverse operations to solve the equations. S h ow your work. a

b

c

1 . 4n ⫽ 28

j ⫹ j ⫹ 3 ⫽ 11

h ⫺9 ⫽ 17

2. x ⫺ 3 ⫽ 7

5 ⫹n ⫽ 12

65 ÷ p ⫽ 5

y 3. 3 = 4

6f ⫺ 4 ⫽ 5f

f

4. 8 ⫹ z ⫽ 0

9 ⫽ 2t ⫹ 3

3q ⫺q ⫽ 14

5 . 3k ⫽ 36

y ÷ 8 ⫽ (y ⫹ 2) ÷ 9

c2 ⫺ 3 ⫽ 61

6 . m ⫹ 6 ⫽ 18

14 ⫽ ⫺k

5t ⫺ 2t ⫽ 15

7 . 2x ⫹ 2 ⫽ 20

2z ⫽ 9 ⫺ z

13 ⫺ m ⫽ m ⫹1

n 8 . 4 +1=17

72 ÷ r ⫽ 24

4x ⫽ x ⫹ 9

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1 =6 2

Date 101

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Inequalities An inequality is a math sentence that compares two unequal sets. An inequality may have more than one solution. < >

less than or fewer than greater than or more than

Mitch won an award for getting over 30 home runs in his softball league. h ⬎ 30 The equation doesn't tell if Mitch got 31 home runs or 100. But both of those numbers are possibilities since each number is greater than 30. Directions: S o l ve the inequalities as you would an equation. S h ow your work. Give two examples of numbers that would make the inequality true, if possibl e. a

b

1 . 3x ⬎ 3

8z ⫹4 ⬎ 60

2 . 3x ⬍ 3

⫺1 ⬍ j ⬍ ⫺22

3 . 6y ⬎ 30

5n ⬎ 70

4 . 10n ⫹ 6 ⬍ 46

7x ⫺ 4x ⬍ 24

5 . 6m ⫹ 6 ⬎ 24

(w ⫹6) x 2 ⬎ 16

6 . 10k ⫹ 10 ⬍ 80

42 ⬍ 7k

7 . 13 ⬍ w ⬍ 43

p ⫺ 5 ⬍ 14

8 . x2 ⫹ 2 ⬎ 51

4t ⫹ 3t ⫹ 2 ⬎ 23

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 102

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Equations Now you can solve anything!

Directions: S o l ve the equation or inequality. a

1 . 2n ⫽ 6

b

c

2g ⫹ 13 ⫽ 23

45 ÷ x ⫽ 15

8

1 =4 z

2 . ⫺x ⬎ 5

26 ⫺ 4 x ⫽ 14

3 . 4m ⫹ 1 ⫽ 45

9 ⬎ 3m ÷ 2

v ⫺ 12 ⫽ 6

4 . 3k ⫺2 ⬍ 4

3n ⫹ 2 ⫽ 20

2 x 3 ⫹ 4 ⫺2 ⫽ n

5 . 4z ⫺3 ⫽ 17

5 ⫹x ⬎ 11

2 ÷ (3 ⫺2) ⫽ n

6 . 2j ⫹3 ⫽ 5j

2y ⫹1 ⫽ 3

8⬎n⫺2

Directions: Write the equation or inequality, then solve. 7 . Leah is 12 and her brother Cory is two years older than half her age. How old is Cory? 8 . Leah is 12, her mother is three times her age. How old is her mother? 9 . Leah knows it isn't polite to ask her grandmother how old she is. She thinks her grandmother is older than fifty-five years old. How old is her grandmother? 10. Leah is 12. In 5 years, her dad will be four times her age. How old is her dad? 11. Leah's grandmother told her that she'd started dating after she was six years older than Leah. How old was Leah's grandmother when she started dating?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 103

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt T i m e You can multiply, divide, and convert using units of time.

Directions: Fill in the blank. S h ow your work. a

b

2 . A half day is

hours.

3 . A quarter hour is

hours. minutes

6 . 4 days =

8 . 8 days = 9.

minutes hours hours

1 min = 12 hours 2 3 days =

hours = 285 minutes

hours minutes = 168 hours

hours

days

168 hours =

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

days

1 hour = 3 1 2 days = 2

minutes hours

1 10. 6 days = 2

156 hours =

150 min =

hours

7 . 6 1/2 hours =

minutes

days = 42 hours

minutes.

4 . A quarter of a day is 5 . 3 hours =

1 2 hours = 4

minutes.

1 . A half hour is

Date 104

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A dd and Subtract T i m e When regrouping time units, remember to convert the units into the correct amount. 3 hours 5 minutes 45 minutes

2 hours 65 minutes 45 minutes 2 hours 20 minutes

Directions: A dd or subtract, re g rouping when needed. a

b

c

1.

4 hours 35 minutes + 2 hours 35 minutes

5 days 6 hours - 3 days 3 hours

4 days 18 hours + 1 day 7 hours

2.

17 hours 20 minutes - 5 hours 40 minutes

6 hours 50 minutes + 3 hours 10 minutes

7 days 4 hours - 6 days 16 hours

3.

4 days 6 hours - 2 days 12 hours

5 days 7 hours + 2 days 18 hours

6 days - 3 days 9 hours

4.

8 days 13 hours + 2 days 7 hours

4 days 2 hours - 2 days 3 hours

6 days 18 hours + 3 days 18 hours

Directions: Write the equation, then add or subtract. 5 . The football game lasted four hours from start to finish.The halftime show was twenty-five minutes long. How long was the game itself?

6 . The football team was counting down until they left for the state championship.They would leave in 3 days, 12 hours. It would be another 16 hours before the big game.When would the big game start?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 105

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Temperature The U.S. measures temperatures using the Fahrenheit scale. On this scale, water freezes at 32° and boils at 212°. Directions: Write the temperature using the label °F after the nu m b e r. 1.

a

b

c

d

Directions: S o l ve. 2 . The temperature outside dropped so that water in a small birdbath froze. How cold was it?

3 . The temperature in a boiling pot of water was 220°F. It cooled just enough that it stopped boiling. How much did it cool down?

4 . The temperature was at the freezing level, then it went up 20 degrees. What was the temperature?

5 . In January the temperature was at the freezing level, but in May it was 52 degrees higher.What was the temperature?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 106

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Temperature The Metric system measures temperatures using the Celsius scale. On this scale, water freezes at 0° and boils at 100°.

5 F-32 = C 9

To convert Fahrenheit to Celsius, use this formula:

9 To convert Celsius to Fahrenheit, use this formula: ᎏ C + 32 = F 5 9 Hint:To multiply a number by , you can multiply using the fraction, you 5 can multiply by the decimal (1.8), or you can multiply by 9 then divide by 5.

Directions: Conve rt the temperature to the nearest degre e. a

c

b

1.

95°F =

°C

70°F =

°C

10°F =

°C

2.

25°C =

°F

-5°C =

°F

5°C =

°F

3.

68°F =

°C

5°F =

°C

-10°F =

4.

-18°C =

0°C =

°F

30°F =

°C

5.

10°C =

75°C =

°F

°F °F

°F

95°C =

°C

Directions: Write <, >, or = to show how the temperatures compare. a

c

b

6.

100°F

100°C

25°C

60°F

95°C

200°F

7.

32°C

32°F

-10°F

-10°C

212°F

100°C

8.

10°F

10°C

25°C

80°F

90°C

190°F

9.

5°C

45°F

100°C

35°F

0°F

10.

32°F

0°C

120°F

45°C

15°C

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

-15°C 50°F Date

107

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Weight Weight is measured in ounces, pounds, and tons.To find part of a unit of weight, divide.To find multiples of a unit of weight, multiply. oz = ounce lb = pound T = ton 16 oz = 1 lb 2000 lbs = 1 T

Directions: S o l ve. a

1.

1 lb = ____ oz 2 lb

2 . 32 oz = 3.

T = 1000 lb

4 . 5 lb =

oz lb

5 . 52 oz =

c

b

3T =

1 2 T = ____lb 2

lb

____lb =

1 T 4

oz = 3 lb oz

4.5 lb = 2 oz =

lb

1 ᎏ lb = 2

oz

1 5 T = ____lb 4 lb

12 oz = 1 ᎏT = 2

lb

Directions: Write <, >, or = to show how the weights compare. a

1 6 . 1 lb 2 7 . 4,000 lb 8 . 6 oz

c

b

24 oz 1 1 T 2 1 lb 2

5T

10,000 lb

9 oz

4 oz

1 lb 3

8,000 oz

1 T 2

500 lb

64 oz

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

3 lb 4

1 T 4 3 lb

Date 108

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Weights The Metric system measures weight using grams (g) and kilograms (kg). A gram weighs much less than an ounce in the customary U.S. system. 1 oz = 28.35 g 1 lb = 453.59 g 100 lb = 45.349 kg

1 g = 1/28.35 oz 1 kg = 2.204 lb 100 kg = 220.46 lb

Directions: S o l ve.You may wish to round your answers. a

1 . 3 kg =

oz = 15 g

lb

1 2 . 4 oz = ____ g 2 3.

c

b

kg = 33,069 lb

4 . 50 kg =

lb

25 lb =

1,500 lb =

kg

500 kg =

lb oz

85 g =

kg

lb = 200 kg 30 oz =

g

1 2 lb = ____ g 2

Directions: Write <, >, or = to show how the weights compare. a

c

b

3 oz

5 . 50 lb

50 g

3,000 lb

6 . 30 oz

30 g

20 kg

20 lb

75 kg

20 kg

200 oz

1 1 oz ___ oz 2 2

7 . 3 kg

3 lb

3T

8. 3 g

3 oz

2T

2000 lb

9 . 3 lb

30 oz

5 kg

11 lb

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

142 g 100 lb

1 1 lb ___ lb 4 4 33 lb

16 kg

Date 109

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Customary Lengths The U.S. measures length using inches, feet, yards, and miles.

inch = in foot = ft yard =yd mile = mi

12 in = 1 ft 3 ft = 1 yd 5,280 ft = 1 mi

Directions: S o l ve. a

c

b

1.

1 mi = ____ yd

____ in =

3 ft 4

10 ft = ____ yd

2.

36 in = ____ ft

1 mi = ____ ft 2

30 in = ____ ft

3.

36 in = ____ yd

7,920 ft = ____ mi

5,280 ft = _____ yd

8 ft = ____ yd

3 mi = _____ yd

4. 5.

1 5 ft = ____ in 2 1 mi = ____ ft 3

____ ft =

3 mi 4

1 mi = ____ yd 2

Directions: Write <, >, or = to show how the lengths compare. a

1 ft 2

6.

24 in ___ 2

7.

6 ft ___ 2 yd

8.

2 mi ___ 10,000 ft

9.

1 1 yd ___ 4 ft 3

10.

40 in ___ 1 yd

b

c

30 yd ___ 30 ft

1 1 mi ___ 7,500 ft 2

1 1 mi ___ 8,000 ft 2 1 18 in ___ 1 ft 2 1 yd 3 1 15 in ___ 1 ft 3 18 in ___

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

9 yd ___ 27 ft

1 2,000 yd ___ 1 mi 2 4 mi ___ 20,000 ft

3 in ___

1 ft 4

Date 110

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Conve rt Metric Lengths The Metric system measures length using centimeters (cm), meters (m), and kilometers (km). A centimeter is shorter than an inch and a kilometer is shorter than a mile. A meter is a little longer than a yard. 1 1 1 1

in = 2.54 cm ft = 0.3048 m yd = 0.9144 m mi = 1609 m

1 cm = 0.3937 in 1 m = 39.37 in 1 km = 0.621 mi

Directions: S o l ve.You may wish to round your answers. a

c

b

1 . 3 in =

cm

2 . 3 ft =

m in

3 . 10 cm =

yd = 5 m

12 in =

cm in

4m=

in

5 cm =

7 ft =

m

1 ft = ____ m 2

1 4 . 1 mi = ____ m 2

km = 1.5 m

mi

5 km =

Directions: Write <, >, or = to show how the lengths compare. a

5 . 30 in

30 cm

1m

6 . 30 in

3 ft

1 804 m 2

7. 3 m

3 km

2 in

8. 1 m

1 yd

2m=

9 . 2 km

c

b

1m

6 in

50 in

1 mi 2 6 cm 70 in 60 cm

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

6m

6 ft

6m

6 yd

10 km

5m

10 cm

5 in

10 m

5 yd

Date 111

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Look back in the book to find conversion tables, if you need help.

Directions: Write the equation, then solve. Remember to label your answers and show all your work. 1 . The movie Hunter is watching is 110 minutes long. How many hours and minutes is that?

2 . It took Hunter one and a half hours to do his homework. It took his little sister, Lisa, forty-five minutes to do hers. How much longer did it take Hunter to complete his homework?

3 . The temperature outside dropped to freezing.Then it went down another four degrees Fahrenheit.What was the temperature?

4 . Hunter heated a pot of water until it boiled.Then it got ten degrees hotter still. On the Fahrenheit scale, how hot was the water?

5 . How hot is boiling water using the Celsius scale?

6 . Lisa compared her braid with her friend’s. Lisa’s braid is one foot long, her friend’s is thirteen inches long.Whose is longer?

7 . Lisa got

3 pounds of bananas at the store. How many ounces is that? 4

1 8 . One bag of grapes was 1 pounds, another was 24 ounces.Which bag 2 was heavier?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 112

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Blake wrote his pen pal Budi in Indonesia.When Budi replied, Blake had to convert the measurements to understand how they compared. Directions: Read the parts of the letters and do the conversions to help Blake compare the measurements properly. Hi Budi, We're fine here in Iowa. It is almost winter and it is 40°F. Brrr. But I only have 1 to walk mile to school, so I don't have to go too far. 4 Last month was the county fair. I saw a pumpkin that grew to be 50 pounds! Do you have pumpkins there? I think about what you are doing when I am writing. Since it is daytime here, it is nighttime there.You must be asleep. Sleep well, my friend, Blake Hello Blake, I am glad you are well. It is 30°C here. It is always that temperature unless you live in the mountains. How hot and cold does it get where you live? My school is 2 km away. Sometimes I walk and sometimes my mother drops me off on her motor scooter on her way to work. I saw a pumpkin once.They can grow them in the mountains. It weighed about 2 kg. We have vegetables like carrots, onions, and peppers. But I grew a pineapple last year that was over 3 kg! Do you have pineapples there? 1 I think we must be exactly a day off of each other! It is funny to think that 2 I have a friend exactly half way around the world from me! Mari (bye), Budi

1 . Which place is warmer - Iowa or Indonesia? 2 . Who lives closer to his school - Blake or Budi? 3 . How heavy was the pumpkin Budi saw (in pounds)? 4 . How heavy was Budi’s pineapple? 5 . How many hours is half a day?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 113

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Name Lines Who knew a simple line had so many properties?

Directions: Study the diagram below and answer the questions.

1 . Name two lines.

2 . Name two line segments.

3 . Name two rays.

4 . Name two sets of perpendicular lines.

5 . Name the two sets of parallel lines.

6 . Name two points on line AB.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 114

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Identify Angles Angles are the measure of turning where two lines meet.

Directions: A n s wer the questions.

1 . Which two shapes have acute angles?

2 . Which two shapes have right angles?

3 . Which shape has obtuse angles?

4 . Which shapes have straight angles?

5 . Draw a shape to show each type of angle. Label it with the shape name and the angle name.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 115

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Angles Two angles whose sum is 90° are called complementary. Two angles whose sum is 180° are called supplementary. Directions: A n s wer the questions.

1 . Name 2 sets of supplementary angles. 2 . Name 2 sets of complementary angles. 3 . What is the measure of angle D? 4 . What type of angle is angle D? 5 . What is the measure of angle K? 6 . What type of angle is angle K? 7 . What is the measure of angle L? 8 . What type of angle is angle L? 9 . What is the measure of angle B? 10. What is the measure of angle M?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 116

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Triangles Three types of triangles are shown.The angles in any triangle always add up to 180°. The angles in any triangle always add up to 180°. right

Directions: Label the triangle type and write in its missing angle. 1.

2.

3.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 117

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Perimeter Perimeter is the distance around a shape. Find perimeter by adding the length of each side.

2 + 3 + 3 + 1 = 9 ft

Directions: Find the perimeter for each figure. Label your answe r. a

b

1.

2.

3.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 118

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Circ u m fe rence Circumference is the distance around a circle.

Pi ( ) is often used when measuring circles. Use the number 3.14 for pi. To find circumference use the formula: C = d

Directions: Find the circ u m fe rence. a

b

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 119

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find A reas of Triangles To find the area of a triangle, multiply length by height and divide in half.

To find the missing side of a right triangle, use the formula: a2 + b2 = c2 Side c is always the side opposite the right angle.

Directions: Find the missing side and the area for each triangle. a

b

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 120

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find A reas of Parallelog r a m s Area is the space inside a figure.

If the four-sided figure has all right angles, simply multiply the length times width to find area.

Directions: Find the perimeter and the area for each figure . S h ow your work. a

b

1.

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

Perimeter:

Area:

2.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 121

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find A reas of Circles To find the area of a circle, use the formula: A =

r2

The radius (r) is a line from any point on a circle to its center. The radius is half the length of its diameter.

Directions: Find the radius and the area for each circle. Use 3.14 for

a

.

b

1.

2.

3.

4.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 122

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Surface A re a s Surface area is all the outside area of a three-dimensional figure.To find surface area, find the area of each face, then add to get the total. Remember that some faces may be hidden from view! Directions: Find the surface area for each figure. S h ow all your work. 1.

front: top: bottom: back: left side: right side: Total surface area:

2.

front: top: bottom: back: left side: right side: Total surface area:

3.

front: left side: right side: back: bottom: Total surface area:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 123

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Volumes Volume is how much space is inside a three-dimensional figure. Find volume by multiplying the area of the base times height. Directions: Find the volume or the missing dimension for each figure. a

b

1.

Volume:

Volume:

Volume:

Volume:

Volume:

Volume:

2.

3.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 124

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Hunter is visiting his great-aunt in another town. She gave him directions to the movie theater, but she didn't remember the names of the streets. Help Hunter find his way using the map and your knowledge of geometry.

Directions: Use what you've learned about ge o m e t ry to solve these word pro bl e m s . 1 . Hunter starts by going down First Street. Aunt Eva says that the theater is on the street parallel to First Street.What street is the theater on? 2 . At A Avenue, Aunt Eva said to take the street that made an acute angle. Which way should Hunter go? 3 . If the acute angle is 45°, what streets form the complementary angle? What is the measure of the complementary angle? 4 . What type of angles are at the intersection of First Street and B Avenue? What is the measure of each angle? 5 . Center Street, A Avenue, and Second Street form a triangle. If the angle at A Avenue and Center Street is 45° and the angle at A Avenue and Second Street are 90°, what is the measure of the last angle? What kind of triangle is it? 6 . Look at the Center St triangle.The Second St. leg is 3 miles long.The A Avenue leg is 4 miles long. How long is the Center St. leg?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 125

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

S o l ve Word Pro bl e m s Real people use real geometry.

Directions: S o l ve the word pro bl e m s . 1 . Jasmine is wrapping a gift. Find the circumference to find the length of ribbon she should use to wrap around the gift, find the surface area to find how much wrapping paper she needs, and find the volume to find the amount of styrofoam peanuts she needs for inside the gift. (Hint: to find the area of the long part of the cylinder, use the circumference of the circle as two sides and the height as the other two.)

4 in height Ribbon length:

Amount of wrapping paper:

Amount of styrofoam: 2 . Cory is helping his dad form a concrete patio. Find the missing dimensions from the perimeter given. Find the surface area to know how much paint they'll need and find the volume to know how much concrete they'll need. (Hint: they won't paint the bottom of the patio. Also, you'll need to convert the feet to inches, then back again when working with volume and surface area.)

Height: 2 in Perimeter: 34 ft

Missing side length:

Area to be painted:

Amount of concrete:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 126

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Geometry Geometry means earth measurements. Look how much ground you've covered! Directions: Study the diagram and answer the questions.

1 . What is the measure and type of angle A? 2 . What angle is adjacent to angle A? 3 . Name two lines that are not parallel. 4 . What type of triangle is the one that includes angle F? 5 . If angle C is 45°, what must the angle at the top of triangle BC be? 6 . If angle C is 45°, what must angle D be? 7 . Name a way angles C and D relate to each other. 8 . Name a way angles E and L relate to each other. 9 . Which line shows a ray? 10. Name the two line segments. 11. What type of angle is E?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 127

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

R eview Geometry You may have to work backwards to find an answer.

Directions: Find the missing dimension on each figure .

1.

Missing side: Perimeter: 24 ft Area: 35 sq ft

2.

Missing angle:

3.

Missing side: Area: 32 sq cm

4.

Diameter: Circumference: 31.4 in

5.

Width: Volume: 160 cu yd

6.

Total Surface Area:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 128

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Averages To find the average, or mean, add to find the total, then divide by the amount of addends. Directions: Find the average for each set of numbers. Show all your work. 1. 13, 17, 20 2. 45, 74, 88, 95, 83 3. 5, 10, 5, 5, 10, 5, 10, 10, 5, 5 4. 100, 150, 200, 100, 500 5. 1.2, 0.7, 2.0, 0.5, 1.7, 1.3, 0.9, 0.4 6. 3, 12, 7, 21, 10, 8 7. A group of ten friends took a survey of how many people lived in their homes (including themselves). Find the average number of people in each home. 3, 5, 2, 4, 6, 4, 3, 4, 5, 5

8. Six students formed a study group. After a test, they compared their scores. What was their average score on the test? 83, 86, 97, 95, 90, 89

9. Eleven movie reviewers saw the newest movie.They all rated the hit on a scale of 1 to 10, 10 being the best. Find the average score of the reviewers. 6, 3, 8, 5, 6, 8, 6, 7, 6, 7, 7

10. Seth kept track of his math grades for two weeks. Help him find his average for that time. 76%, 88%, 85%, 93%, 96%, 80%, 82%, 94%, 78%, 95%

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 129

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Find Range, Mean, Median, and Mode If the numbers in a data set aren't in order from least to greatest, put the numbers in order before you start working with the data set. Directions: Find the range, mean, median, and mode for each set of numbers. Show your work. 1. A group of friends wrote down the number of pets each had at home. 0, 1, 3, 7, 2, 0, 0, 3, 4, 3 Range: Mean: Median:

Mode:

2. Mike wanted to find his math scores for the last week. Here are his scores. 87, 76, 95, 100, 85, 90, 92, 83, 89 Range: Mean: Median:

Mode:

3. The Rosses wanted to build a swimming pool.They took quotes from several pool companies to find out how much it would cost. $20,500, $15,500, $16,000, $22,500, $18,000, $20,000, $17,800, $22,500, $19,999 Range: Mean: Median:

Mode:

4. Ms. Monroe gave a math test. Here are the scores for all her students. 88, 75, 56, 98, 92, 86, 100, 92, 80, 78, 85, 74, 83, 80, 72, 88, 95, 75, 68, 78, 88, 94, 88, 85, 78, 80 Range: Mean: Median:

Mode:

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 130

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Probability 1 Probability is the chance of an event occurring.There is a 1 in 4 or ᎏ 4 chance of spinning 1 on the spinner.

1 4

outcome of a 1 possible outcomes

Directions: Figure the probability for each situation. Simplify fractions, if needed. 1. What is the probability of spinning an even number? 2. What is the probability of spinning a five? 3. What is the probability for spinning an odd number sometime in two spins? 4. What is the probability for spinning four times and getting a three more than once? 5. What is the probability for spinning an even or an odd number? 6. What is the probability for spinning a 1 or a 2, then spinning again and getting a 1 or a 2? You have a bag of 10 marbles: 6 are red, 3 are blue, and 1 is green. 7. What is the probability of pulling out a red marble? 8. What is the probability of pulling out a blue marble? 9. What is the probability for pulling out a red marble, keeping it out and pulling out another one? 10. What is the probability for pulling out a green marble, keeping it out and pulling out a blue one? 11. What is the probability for pulling out a red marble, putting it back and pulling out a red marble again? 12. What is the probability for pulling out three red marbles in a row, keeping each of them out? Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 131

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Understand Odds Odds compare the possibility of an event happening to the event not happening. Just as in fractions, you can simplify odds.The odds against spinning an even number on this spinner are 2 to 2 or 1 to 1. Odds of spinning a 3 number of ways to spin a 3 1 1

number of ways to spin anything else to :

3 3

Directions: Write the odds for each situation. Simplify, if needed. 1. What are the odds for spinning an even number? 2. What are the odds for spinning a five? 3. What are the odds for spinning an even or an odd number? 4. What are the odds for spinning a 1 or a 2, then spinning again and getting a 1 or a 2? 5. What are the odds against spinning a 2, 3, or 4? 6. What are the odds for spinning a number greater than 4? 7. What are the odds against spinning a number greater than 4? You have a bag of 10 marbles: 6 are red, 2 are blue, and 2 are green. 8. What are the odds for pulling out a red marble? 9. What are the odds for pulling out a blue marble? 10. What are the odds against pulling out a green marble? 11. What are the odds for pulling out a red marble, keeping it, then pulling another? 12. What are the odds against pulling out a red marble, putting it back and pulling another red marble?

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 132

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review How well do you remember all your skills?

Directions: Use what you have learned to answer the questions. 1. What number is MMXXII? 2. What place value does the 7 have in 27,452? 3. What property is shown here? 1+3 = 3+1 4. What property is show here? 3 (4 + 2) = 3 x 4 + 3 x 2 5. Explain why the number 8 is not a prime number. 6. Write these numbers in order from least to greatest: 3,419 3,914 3,194 3,149 7. List ten multiples of 12. 8. List the factors of 12. 9. Show the prime factorization for 12. 10. Write two equivalent fractions to 1/2. 11. Give a percentage to show how these numbers relate: 5-10. 12. Alex knew that 62 people were coming to their family reunion. He invited his 11 cousins to camp out in his backyard.The cousins cooked breakfast for themselves and the 5 people in Alex's family. So Alex said that 56 others ate breakfast at the hotel.Write the equation Alex used and then write the inverse operation to check his equation.

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 133

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review With all the practice you've had, math isn’t so hard now, is it?

Directions: Use what you have learned to solve the problems. a

b

1. ⫺5 ⫹6 ⫽

⫺7 ⫻ ⫺8 ⫽

2. 30 ⫺ ⫺30 ⫽

? 3 ᎏ⫽ ᎏ 8 32

3. ⫺50 ⫹ ⫺80 ⫽

1 17 ᎏ ⫽ᎏ ? 2

4. ⫺4 ⫻ 12 ⫽

3 15 ᎏ ⫽ᎏ 4 ?

a

b

c

5.

357 + 442

543 384

8,290 7,572

6.

5,042 + 3,864

6,706 3, 481

3, 051 + 629

7.

24,877 + 3, 471

54,385 24, 493

349,136 256, 221

8.

603,526 + 134,591

3,509,376 2,744, 238

60,348 25, 572

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 134

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Congratulations! You're about to complete this entire book!

Directions: Use what you have learned to solve the problems. a

b

1.

3 1 = ____ 4 2

1 1 5 = ____ 2 4

2.

3 1 ÷ = ____ 4 2

1 1 5 ÷ = ____ 2 4

3.

2 3= ____ 3

1 1 3 1 = ____ 5 8

4.

2 ÷ 3= ____ 3

1 1 3 ÷1 = ____ 5 8

a

b

c

d

e

5.

34 9

445 18

8 17.7

760 3

254 2.6

6.

27.6 4

6, 403 23

91 5

308 17

849.2 39

7.

3126

12 300

0.3 300

5 245

171088

8.

6 224.4

11300

9189

15 245

62 562

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 135

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Review Congratulations! You really know your operations!

Directions: Complete the equations if needed and solve the word problems. Show all your work. 1. Laurel looked at one computer game that cost $18.79 and another that cost $15.65. How much more was the first game? $18.79 2. Laurel bought the game that cost $15.65.The tax was 5%. How much did she spend altogether? $15.65 x 3. Raymond had 2 1/2 pizzas. His friends sat at two tables. How much pizza should he give each table? 2 1/2 4. If you had 2 blue shirts, 1 red shirt, and 3 t-shirts in a drawer, what are the odds that you would pull out a blue shirt? 5. Ten friends took a survey of how many brothers or sisters each had.What is the average number of brothers or sisters the group had? 1, 0, 3, 2, 1, 1, 2, 1, 0, 1 1+0+3 6. The Clark’s backyard measured 15 feet by 20 feet (in a rectangle).What is the perimeter and area of the Clark's yard? (Drawing a diagram may help.) Perimeter: 15 +

Area: 15 x

Name Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

Date 136

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Scope and Sequence

Students

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

137

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9.

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

XIV XV XVI XXXIII XXX XXVI 15 34 20

XVII XVIII XIX XXXV IX XXVII 29 16 17

MMX MMC MMI MMCX MMXI XCVI CCCXC CDXCVI MXCUI MMMDVI 41 95 904

8

hundreds tenths hundreds tens hundredths millions ten thousand ones tens hundreds 8,359,651.27 5,359,601.27 8,059,601.25 8,359,601.25 8,359,101.27

PAG E

1. 2. 3. 4.

7

CC LXXX D DI MM LX DCCC MMM LV CCC 400 90 56

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.

6

XI XII XIII XXIV XXXVIII XXIX 10 8 22

ones hundred thousands hundredths tenths thousands thousands tenths ten thousand ones hundredths

9

4 tens, 8 hundredths 5,000 + 30 + 2 500.32 six thousand, four hundred seventeen 6,000 + 400 + 10 +7 5. 3,001,007 3 millions, 1 thousand, 7 ones 6. 825 thousands, 9 tens, 4 tenths 8 hundred thousand, 2 ten thousands, 5 thousands, 9 tens, 4 tenths 7. three hundred fifty-four and two hundred thirty-six thousandths 300 + 50 + 4 + 0.2 + 0.03 + 0.006 3 hundreds, 5 tens, 4 ones, 2 tenths, 3 hundredths, 6 thousandths Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

8. 2,409,670.02 2,000,000 + 400,000 + 9,000 + 600 + 70 + 0.02 2 millions, 4 hundred thousands, 9 thousands, 6 hundreds, 7 tens, 2 hundredths PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1. 2. 3. 4. 5. 6. 7.

4 3 8 4 45 =

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

P P N 5 11 -4 -115 -9

P P P 1 31 6 -60 500

11

3/8 5/6 1 1/2 3/4 4/7 2

PAG E

1. 2. 3. 4. 5. 6.

10

P N N 14 -21 -3 2 77

10 9 2 2 16

13

1/5 1/50 33/100 1/2 98/100 17/100 1/10 0.33 0.25 0.4 0.1667 0.3 0.14

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 1. 2. 3. 4. 5. 6. 7.

2 30 9 14 3 =

7. = 8. = 9. 10. 11.

9/10 90/100 54/100 66/100 75/100 4/10 8/100 0.5 0.125 0.833 0.667 0.667 0.6

< = > > < < >

PAG E

= =

4/1000 204/1000 70/1000 1 1/2 2 5/100 3/10 5 1/1000 0.625 0.5 0.444 0.3 0.17 0.04

= = =

1. 2. 3. 4. 5. 11. 12. 13. 14. 15. 16.

138

> > > < > > >

< > < > = > <

16

17

18

1% 25% 33% 50% 100% 50%

8. 9. 10. 11. 12. 13. 14.

50 40 100 250 80

0 4 10 32 182 358

70 90 60 90 100 100 70 560 1,000 550

PAG E

1. 2. 3. 4. 5. 6.

15

20 0 20 80 110 3 1 51 5 672 922

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

14

72 138 853 85 100 2,462 540 69,125 428,300 3,960 597,280 764,329 4,970, 21,058, 69,832 1,749, 47,291, 56,022 21,732, 27,582, 655,934 67,575, 195,732, 908,274 659, 63,472, 63,570, 63,807 679, 6,712, 6,793, 7,235 27,483, 7,240, 6,792, 5,729 6,729, 5,729, 5,720, 483 47,283, 7,178, 2,704, 273 4,848, 4,193, 4,091, 472

PAG E

1 2/5 2 3 1 2/3 1 4/5

12

PAG E

< = > < > < =

= > = >

< < = >

6. 7. 8. 9. 10.

90 440 60 680 1,250

2,000 60 380 120 340

1 0 1 1 48 523

20 50 80 120 310 590 440 770 570 960

50 140 130 540 350 740 470 1,300 590 970

10% 50% 0% 25% 0% 100%

100% 80% 50% 100% 10% 50%

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

PAG E

1. 2. 3. 4. 5.

18 48 72 130 32

PAG E

1. 2. 3. 4. 5. 6.

1. 2. 3. 4. 5. 6. 7. 8.

21

50% 83% 67% 3/10 1/100 99/100

22

23

7:5 1:3 5:6 18:7 1:1 1:2 1:2

PAG E

6. 7. 8. 9. 10.

10% 150% 60% 75% 11.1%

47% 3% 100% 30% 250% 300% 0.05 1.5 0.25 0.15 0.255 0.015

5:11 11:5 11:16 5:16 12:16 28 to 12 4 to 7 11:16 5 to 11 11:12

PAG E

1. 2. 3. 4. 5. 6. 7.

2 9 13.5 20 247.5

75% 17% 22% 9/20 2/3 27/100

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

PAG E

20

38% 36% 15% 0.45 0.73 0.99

PAG E

1. 2. 3. 4. 5. 6.

19

24

1,000,000 289 256 59,049 125 4,096 128 100

7. 8. 9. 10. 11. 12.

50% 200% 6.667% 400% 100% > < = > = >

> < > = < >

20% 7. > = 38% 8. < > 86% 9. = > 1/2 10. = < 3/4 11. < = 4/5 12. < <

> = > = > <

2x3x5 24 41 x 1 45 80 189 88 117

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

8:1 1:2 4:1 2:1 2:1 2:1 2:0

9. 10. 11. 12. 13. 14. 15.

144 729 256 121 243 49 1,296

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

26

27

28

16 MMXXIX tens 300,457.02 61 3/4 -17 -63 3 13

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

1 x 11 2 x 3 x 11 3 x 24 216 150 60 168 378

118, 111, 104, 97, 95 $1,204.50 Megan 440 620, 617 50% 6 33% 1:2 32

PAG E

1. 2. 3. 4. 5. 6.

52 2 3 x 32 34 125 147 108 36 72

6 2005 $210.50 Two hundred sixty and five tenths 2 hundreds, 6 tens, 5 tenths $5 + $6 = $11 $15 3/10 4 slices 0.2 3/4

PAG E

5 to 11 11 to 5 11 to 16 5 to 16 12/16 28/12 4:7 11/16 5/11 11 to 12 8. 9. 10. 11. 12. 13. 14.

< < > > = >

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

25

29

7. 8. 9. 10. 11.

PAG E

31

1. C 5. C 2. I 6. I 3. A 7. C 4. A Answers may vary for items 8-10. Example answers are listed below. 8. 5 + 1 = 6 1 + 5 = 6 9. 6 + (1 + 3) = 10 1 + (6 + 3) = 10 10. 25 + 0 = 25 0 +25 = 0

1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

945 877 927 583 620

961 607 701 1,378 1,401

33

34

194 470 100 155 70 244 248 1,219

PAG E

1. 2. 3. 4. 5. 6. 7.

107 279 982 991 1,163

66 159 613 100 110 409 100 160 962 595 335 1,110 134 + 247 = 371 371 - 247 = 134

PAG E

1. 2. 3. 4. 5.

32

79 151 530 938 878

PAG E

0.2 2/10 20% 4 3 10 4

30

11 13 7 12 6 13 8 10 11 9 4 8 14 5 4 15 5 15 6 8 8 17 8 12 3 12 5 12 9 13 2+6=8 6+2=8 8-2=6 8-6=2 10. 7 + 3 = 10 3 + 7 = 10 10 - 3 = 7 10 - 7 = 3

PAG E

> < > = < > < < = < < > > = > < > > > = > Aliya read 3/10 = 30% Matt read 1/4 = 25% Aliya read more.

139

1. 2. 3. 4. 5. 6. 7. 8. 9.

35

1,890 3,898 7,052 8,973 10,701 7,083 9,088

129 265 124 86 149 153 250 347 435 6,660 1,296

7,443 7,959 6,205 11,720 10,601 5,690 8,025 10,570 8,669 14,036 5,043 9,027

6,689 12,391 16,705 8,942 8,340

9,384 13,576 13,683 10,661 6,061

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

1. 2. 3. 4. 5. 6.

36

5.19 74.3 27.12 65.84 11.59 21.5

PAG E

PAG E

68.5 73.39 100 82 74.44 70.6

37

1. 93,014 82,706.24 2. 123,312 6,219,144 3. 675,110 2,650,959 4. 784,719 5,039,777 5. 795,853 6. 349,848.2 PAG E

1. 2. 3. 4. 5. 6.

1. 2. 3. 4. 5. 6. 9. 10.

1. 2. 3. 4. 5. 6. 7.

920.1 417,860 8,298.94 12,491 940.129

-320 720 -238

15 -270 -39

1,519,313 639,675 3,932,178 962,341 693 6,125,594 90

41

61 37 86 294 416

332 399 466 132 91

364 211 182 338 333

148 187 70 336 200

42

219 760 111 90 227 91 904 904 28 77 98 271 64 ñ 27 = 47 47 + 27 = 74

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. B 2. A 3. C PAG E

2,184 2,189 4,274 2,393 3,128 8,255 6,424

771 1,148 1,890 6,079 4,749

8.8 7.25 13.48 29.26 1.9 21.3 10.3 12.76

18.87 21.09 3.779 72.35

46

47

P P P 159 2 75 -37 -305

48

39 203 551 9.09 253 178,888 3,838

49

45 326 296 14.914 327.03 78,777 68 38

378,185 109,008 425,208 108,183 2,210,204 463,516 1,136,141 2,907,110 722,289 1,118,619

N N P 465 99 -2 -100 82

4. D 5. $57.45 6. $6.50

51

2. 3. 4. 5. 6. 7. 8.

82 = 96 = 178 178 - 96 = 82 Incorrect. 101 - 13 = 88 92 + 13 = 105 408 422,490 34 $14 $74.12 -15 degrees

PAG E

1. 2. 3. 4. 5. 6. 7.

PAG E

1. 2. 3. 4. 5. 6. 7.

21 3,119 12,831 77 219,092 4,245

157 747,909 -66 95 2,773.92 23,371

3,894

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.

52

158 2,192 4,798 818 999 199 7,060

53

-10 120 90 -320 -100 310 46,347

PAG E

48 1,156 1,517 2,832 42.01 1,040,011 40,988

140

50

1. Correct.

45

P N N 2 -48 -213 31 -118

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

44

13,057 9,145 42,297 23,459 16,407 264,291 252,066 696,970 214,517 2,090,107

PAG E

1. 2. 3. 4. 5. 6. 7.

360 9 128 66 - $25 = $4

2.9 3.41 2.59 5.07 11.33 3.24 72.29

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

15 187 26 51 - $16

113 6,101 2,122 3,023 2,044 1,217 3,030

PAG E

1. 2. 3. 4. 5. 6.

43

16 11 95 57 $45

PAG E

40

41 39 110 308 266

PAG E

1. 2. 3. 4. 5.

39

1. 2. 3. 4. 5. 1. 2. 3. 4. 5. 6. 7.

9,994.38 2,669,135 1,217,110 3,685,409 7,739,100 4,385,888 9,201,420 1,519,313 13,602.42 6,231,539

596 707 913 12,543 57,865.02 8,428.9 39 492,056 -1,005 9,124,888 B 7. C 8. A 208 + 132 +256 = 596 208 - 132 = 76

PAG E

1. 2. 3. 4. 5.

90.12 7.405 280.09 62.06

38

86 61 -117 -44 9,917

PAG E

56.85 105.54 104.01 98.64

PAG E

N P P N N P N P N -100 57,300 100 -270 -8,100 75 -100 -2,880, -303

PAG E

1. 2. 3. 4. 5.

17.79 3.1 8.6 38.7

12,873 10,586 87,862 187 566 535 2,544.32 8. 9. 10. 11. 12. 13. 14.

137.91 1,083.15 524,924 920,010

26,088 16.15 902.3 8684.2 78,314.83 D C

54

4, 8, 12, 16, 20, 24, 28, 32, 36, 40 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 8, 16, 24, 32, 40, 48, 56, 72, 80 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 10, 20, 30, 40, 50 ,60, 70, 80, 90, 100 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 25, 50, 75, 100, 125, 150,175, 200, 225, 250 4, 8, 12, 16, 20, 24 72 30, 60, 90 18, 36, 54 30, 60 21, 42 15, 30, 45 10, 20, 30

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

55

1, 3 1, 5 1, 2, 3, 6 1, 7 1, 2 1, 3 1, 2, 5, 10 1, 2, 4, 8

PAG E

PAG E

1, 2, 4, 8 1, 3, 9 1, 2, 5, 10 1, 2, 7, 14 1, 2, 4, 8 1 1, 2, 3, 6 1, 2, 4

1, 11 1, 3, 5, 15 1, 2, 3, 4, 6, 12 1, 2, 4, 8, 16 1, 7 1, 2, 4 1, 3, 9 1, 5

56

1. Prime: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 29, 83, 89, 97 Composite: all others except 1. 2. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

57

2 x 33 72 5x7 52 x 3 26 23 5x3 7x3 2 x 52 2 2 x 32 19 11 15 28 40 27 63 36 32 50 28 64

PAG E

58

12 56 3 14 21 16 45 9 10 18

23 22 3 x 22 2x3 2x3x5 22 x 5 17 7 52 32 19 13 5 x 13 25 2x5 2 x 11 24 23 x 3 2 x 17 52 22 x 3 x 5 7 x 11 2 2 x 52 23 x 11 40 16 90 0 24 81 7 80 30 49

28 40 42 72 36 24 0 35 36 21

20 0 56 25

8 24 54 70

59

Answers may vary for items 1-5. Example answers are listed below. 1. 6 x 4 = 4 x 6 2. 5 x (6 x 7) = (5 x 6) x 7 3. 3 x (5 + 6) = 3 x 11 = 33 4. 25 x 1 = 25 5. 0 x 56 = 0 PAG E

60

1. Incorrect 42 ÷ 2 = 21 Incorrect 102 ÷ 8 = 12.75 2. Correct 540 ÷ 9 = 60 Incorrect 71 ÷ 3 = 23 3. Correct 114 ÷ 6 = 19 Correct 184 ÷ 4 = 46 4. Correct. 9 x 21 = 189; 189 ÷ 9 = 21 Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. 2. 3. 4. 5. 6.

PAG E

1. 2. 3. 4. 5.

61

PAG E

2,615 5,856 16,088 5,880 17,346 18,714

62

2.6 14.7 20.8 22.8 1.05

PAG E

27,708 50,428 32,328 72,216 30,522 15,256 55.2 1.75 0.567 0.666 4.24

1. 2. 3. 4. 5.

1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

65

66

8,900 12,672 10,260 26,688 43,725

PAG E

72.3 2.88 3.078 64.64 0.0268

67

32.4 25.2 96.9 31.85 255.36

2,695 2,976 1,494 3,082 8,019

-1630 3,108 -6,615 1,900 792 4,888 1,479 3,944

5283 -44,667 24,615 2,133 3,672 1,628 5,096 4,272

13,761 26,280 99,671 49,416 46,296

504,613 66,946 177,372 230,080 418,392

756,369 223,508 414,838 295,301 343,420

55.68 8.71 103.62 19.36 11.534

23.002 80.36 510.06 35.5248 12.2388

35.5019 59.976 599.76 5,997.6 59,976

141

68

1. 3,238,767 404,903,079 2. 3,581,904 229,388,952 3. 14,510,838 32,657,170 4. 29,274,490 64,000,898 5. 563,760 49,348,152 PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

4 8 2 8 9 3 7 5 7 6 2 8

PAG E

64

624 1,352 5,893 1,092 4,700

PAG E

262.26 44.24 0.0703 29.442 69

17,442 18,870 32,487 40,475 8,322 31,412

184,346 6,209,052 7,215,228 30,268,710 4,685,646 7,465,419 3,853,256 28,851,636 1,418,910 31526,047 942,066 11,729,016

N P P P N N -215 -72 203 -846 228 280

PAG E

1. 2. 3. 4. 5.

10 100 10 100 1,000

83,079 10,788 13,498 43,008 56,442 13,28

63

1. 128,904 6,003,501 2. 401,562 1,852,585 3. 337,800 4,068,870 4. 213,912 19,249,180 5. 192,525 4,198,288 6. 458,628 5,215,830 PAG E

36,130, 14,997 4,690 21,400 43,281 35,008

1. 2. 3. 4. 5. 6.

6 6 7 9 5 6 10 2 2 4 5 4 30 22 25 12 13 17

71

34 47 51 489 322

PAG E

64 562 497 781 328

72

1. 9 R1 412 R4 2. 19 R3 519 3. 27 57 R1 4. 13 R8 659 R2 5. 112 R4 38 R7 PAG E

1. 2. 3. 4.

2 7 7 9 7 8 4 10 3 5 9 3

8 5 8 9 4 3 10 2 4 2 4 8

6 6 1 8 5 9 2 5 7 11 1 2

24 16 27 14 11 12

33 19 10 33 18 11

260 3622 572 847 972

738 529 819 624 863

70

18 17 36 17 14 11

PAG E

1. 2. 3. 4. 5.

69

35.534,009 145,934,080 26,007,048 19,354,663 403,956,861 417,096,850 13,235,184 692,222,490 109,876,463 582,127,308

73

0.6 3.1 490 1500

65 R1 33 R1 345 214 1,011 49 R6 1,735 R1 404 R2 210 721 R1

1.5 0.08 800 400

0.4 3,800 210 0.24

4.1 640 0.004 0.46

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

1. 2. 3. 4.

PAG E

1. 2. 3. 4. 5.

77

78

N -14 -78 6 -347

PAG E

112.5 1735.5 21 412.7 1,671.2

79

9.02 5 50.5 14 200.12 55 466.2 727 4,320.2 2,341 P 9 178 -8 -17

1. $1,980 2. $6 per hour 3. $36 PAG E

15.5 65.2 3,567 38.8 120.62

330.7 1,000.6 111.3 32.5 43.4

76

230 46 621 50 580

PAG E

1. 2. 3. 4. 5.

75

37 21 9 6 55.11

PAG E

1. 2. 3. 4. 5.

PAG E

9 25 4.55

19.75 27 13.9 65.2 1,454.25

PAG E

1. 2. 3. 4. 5.

74

14 0.8 4.8 26 0.05 9.1 2.625 ft

13 15 24 44.1 27.5

27.1 31 67.04 52 70.25

N -45 -71 -68 22

N 56 -574 61 -2147

4. $31.25 5. $1.25 6. $25

1. 2. 3. 4. 5.

81

266 303.67 1,687.4 449.4 8.125

661 5.125 35 72 15

12.16 36 20.33 7.3 487

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. 2. 3. 4. 5. 6. 7. 8.

85

86

23/35 1/4 7/15 3 1/4 17/20 2 7/9

3/4 3/5 9 1/2 1 1/4 7 1/3 8 1 3/8 1

1. 2. 3. 4. 5. 6. 7. 8. 9.

2 3/5 3 1/6 13 1/4 6 19/45 4 11 17/21 8 1/6 3 7/8

1. 2. 3. 4.

1/3 1/2 1/3 3 1/2 1 1/3 2 7/8

2/3 1/4 0 2/12 2/3 4 3/5

1/24 19/36 1/6 2 5/6 8/9 1 5/12

43/70 11/18 7/48 3 5/8 5 1 2/15

1. 2. 3. 4. 5. 6.

11/12 -21/40 11/40

142

7/40 8/27 6/7 3/16 5/24 1/4 5/8 3/5

A. B. C. D.

7/24 1 1/2 1/6 1 3/4 4/7 8/25 6

4 1/5 19 3/5 3 19/45 4/7 7/4 5 3/5 1 1/6 26 17 1/2

11/50 2 2/49 4 22/45 6 2/3 25 1/2 17 17/27 28 4/5 19 1/2

6 5/6 1 4/5 1 1/8

5. 32 1 6. 1/32 1 1/2 7. 4/7 1 7/8

1/8 1/3 3/49 1 3/5

5. 6. 7. 8.

1/9 9 1 4

8/9 1/18 10 2/3 1/6

16/25 49 2 5/11 13 1/8

5. 6. 7. 8.

7 5/7 5/8 5 1/2 1 2/7

1 7/12 40/111 1 1/3 4

94

N P P N N P -1/4 1/2 -1/50 -16 1/2 -3/8 -15 -25/48

1/16 1/4 2 2/5 -1

95

3/8 hour or 22.5 minutes 5/8 hour 5 hours 3/4 hour

PAG E

2 1/2 1/9 1 1/8 4/15 1/12 49/64 1/8 3

93

2 1/4 2 1/4 92 1/9

PAG E

1. 2. 3. 4.

92

4 36 2/5 1 3/5

PAG E

1/3 4/25 2 1/2 3/10 2/15 21/32 10

91

54 1 10 2 1/2

PAG E

1. 2. 3. 4.

90

1 2/3 7/12 35 2 20 1/4 1 2/3 1 3/4 5 1/4 22 1/5

PAG E

1. 2. 3. 4.

89

1/4 2/9 3/5 2/5 9/35 4 2 2/3

PAG E

88

1/4 2/45 3/14 1/4 3/32 3/10 2 4/5

1. 2. 3. 4. 5. 6. 7.

PAG E

87

P P P N N P N P N 3/8 -1 3/8 -5/12

PAG E

-20 12 -280 -2 330 -5 22 x 3 x 5 34 5x7 2 x 47 8. B

84

1/3 2/5 1/4 3 1/5 3/7 3 1/3

PAG E

1. 2. 3. 4. 5. 6.

83

9/10 1 1/6 9/16 13/21 7/18 25/42 7/8 1 7/15

PAG E

1. 2. 3. 4. 5. 6.

PAG E

110 5,600 -10,800 1 x 37 5x3 7. A

1 1 1/4 4/5 1 2/7 4 3 1/3 4 4/5 8 1/3

PAG E

1. 2. 3. 4. 5. 6.

80

684 31,356 2 2,914 57

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1. Correct. 13.5 x 12 = 162 162 ÷ 12 = 13.5 2. $0.22 per pound 3. $438.90 4. 8.375 5. 23.75 6. 38,250 PAG E

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

642 249.02 21,010.2 5,847 256

82

1. -55 2. 72 3. -91 4. 24 5. 23 6. C

96

3/8 2 2 1/8 34

1. 2. 3. 4.

B C A D

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1. 2. 3. 4. 5. 6. 7.

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

101

102

x = 2, 3 x = 0, -1 y = 6, 7 n = 2, 3 m = 4, 5 k = 5, 6 w = 14-42 x = 8, 9

PAG E

Answers may vary for items 1-11. 1. n = 3 g = 5 x=3 2. x = 1 x = 3 z = 2 3. m = 11 m = 5 v = 18 4. k = 1 n = 6 n = 8 5. z = 5 x = 7 n = 2 6. j = 1 y = 11 n = 7. c=8 8. m=36 9. G > 55 10. D=68 11. g=18

8/15 -4/9 -3/14

-5/24 4 3/10

PAG E

1. 2. 3. 4. 5.

3 27 290 540 290 140 1,440

1,280 25 80 -55 29 22 40

h = 26 p = 13 f = 12 q=7 c=8 t=5 m=6 x=3

PAG E

1. 2. 3. 4. 5.

z = 8, 9 j= 0, 1 n = 15, 16 x = 6, 7 w = 0, 1 k = 7, 8 p = 17, 18 t = 4, 5

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

1. 2. 3. 4. 5.

106

107

35 77 20 -64.4 50

95˚F

71.1 -23 -15 32 20.3

108

8 2 1/2 80 3º

PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9.

105

40˚F 32˚F 9˚F 52˚F 84˚F

PAG E

96 390 192 4.75 156

6,000 500 72 1/8 8

20˚F

-12.2 41 -37.7 -1.1 167 5,000 48 10,500 3/4 1,000

< > < < =

> > > > >

> = > < >

6. = = > 7. > < < 8. < > >

109

6.6 127.58 15,000 110.2 > < < > > > > > = < > = > = <

0.53 11.33 1,102.3 3

143

1. 2. 3. 4. 5.

680.4 44 850.5 1,133.98

111

3 1/3 6. 2 1/2 7. 1,760 8. 5,280 9. 1,760 10.

< = > = >

> < = > <

> = < > =

30.48 1.97 0.1524 3.11

< < > >

= > > <

> > < >

6. 7. 8. 9.

112

1 hour 50 minutes 45 minutes 28 F 222 F 100 C Lisa’s friend’s hair is longer. 1,202 They were equal.

113

Indonesia Blake 4.41 lb. 6.61 lb. 12 hours

PAG E

32˚F

6. 7. 8. 9. 10.

1. 2. 3. 4. 5. 6. 7. 8.

9 2,640 1.5 2 2/3 3,960

7.62 5.47 0.914 157.5 3.94 2.1336 2414.016 2.4 > < >

1. 7 hours 10 minutes 2 days 3 hours 6 days 1 hour 2. 11 hours 40 minutes 10 hours 12 hours 3. 1 day 18 hours 8 days 1 hour 2 days 15 hours 4. 10 days 20 hours 1 day 21 hours 10 days 12 hours 5. 3 hours 35 minutes 6. 4 days 4 hours

PAG E

6. 7. 8. 9. 10.

PAG E

1. 2. 3. 4. 5.

110

1,760 3 1 66 1,760

PAG E

1. 2. 3. 4. 5.

135 1.75 6.5 20 60

1. 2. 3. 4. 5.

2 1/2 750 72 10,080 7

PAG E

j=4 n=7 f=4 t=3 y = 16 k = -14 z=3 r=3

104

30 12 15 6 180

PAG E

100

n=7 x = 10 y = 12 z = -8 k = 12 m = 12 x=9 n = 64

103

1/6 13/20 2 1/2 1/2 8 2/3 5 4/15 9/20

56 inches 1.5 minutes $400 $10 28% slower

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

PAG E

1/3 5/21 37/45 1/12 1/2 13/18 7 1/4 3 4/7

99

17 19 -12 24 56 49 27

PAG E

1. 2. 3. 4. 5.

98

1/2 -1/2 1/2 B; 1/6 A; 1 1/2 D; 3/16 C; 3/4

PAG E

1. 2. 3. 4. 5. 6. 7.

97

1 1/3 4/5 2 1/4 1 1/4 5/9 8/35 7 1/5 1 2/3

114

Answers may 1. AB 2. AD 3. A 4. AC-BE 5. AC-DF 6. A PAG E

vary for items 1-6 BC DG B AD-AB AD-BE B

115

1. Acute (Equilateral) Triangle and Right Triangle 2. Rectangle and Right Triangle 3. Hexagon 4. None Answers will vary for item 5. PAG E

1. 2. 3. 4. 5.

116

AB AJ CD MN 45o Acute 120o

6. Obtuse 7. 90o 8. Right Angle 9. 60o 10. 45o

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

A n swer Key PAG E

117

PAG E

1. Acute 40o 2. Right 90o 3. Obtuse 15o PAG E

118

1. 16 yd 17 in 2. 15 in 11 ft 3. 24 m 48 cm PAG E

1. 2. 3. 4.

PAG E

1. 2. 3. 4.

119

C=3.14 C=18.85 C=7.85 C=1.57

120

17 ft 7 cm 7.21 in 3m

PAG E

C=31.42 C=43.98 C=47.12 C=119.38 50 in 24 yd 5.33 ft 9.73 in

121

1. Perimeter: 24 yd Area: 36 yd2 Perimeter: 20 ft Area: 24 ft2 2. Perimeter: 20 in Area: 8 in2 Perimeter: 28 cm Area: 49 cm2 PAG E

122

1. Radius: 0.5 in Area: 0.79 in2 Radius: 5 ft Area: 78.54 ft2 2. Radius: 3 yd Area: 28.27 yd2 Radius: 7 m Area:153.9 m2 3. Radius: 1.23 in Area: 4.9 in2 Radius: 7.5 cm Area: 176.7 cm2 4. Radius: 0.25 in Area: 0.785 in2 Radius: 19 cm Area: 1134.11 cm2 PAG E

123

1. front:64 top:64 bottom:64 back: 64 left side:64 right side:64 total surface area: 384m2 2. front:50 top:50 bottom:50 back: 50 left side:25 right side: 25 total surface area: 250in2 3. front:20 left side:20 right side: 20 back:20 bottom: 25 total surface area: 125yd2 PAG E

124

1. 64 yd3 2. 15.7 ft3 3. 160 cm3 PAG E

1. 2. 3. 4. 5. 6.

160 in3 24 m3 401.92 yd3

125

Second Street Center Street First Street and A Avenue 45o Right Angle 90o 45o acute 5 miles

Math Computation Skills and Strategies, Level 6 Saddleback Educational Publishing ©2006

126

PAG E

1. Ribbon length: 25.1 in Wrapping Paper: 158.3 in2 Styrofoam: 201.06 in3 2. Missing Side 5 ft Area painted: 788 ft2 Concrete: 1440 ft3 PAG E

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

90o B or I I and 3 Obtuse 45o 135o Supplementary and equal 180o Adjacent and are equal angles 4 1 and 3 Obtuse

PAG E

1. 2. 3. 4. 5. 6.

128

Missing Side: 5 ft Missing Angle: 100o Missing Side: 4 cm Diameter: 10 in Width: 4 yd Total surface area: 52 in2

PAG E

1. 2. 3. 4. 5.

127

129

16.67 77 7 210 1.09

PAG E

6. 7. 8. 9. 10.

10.17 4.1 90 6.27 86.7%

130

1. Range: 0-7 Mean: 2.3 Median: 2.5 Mode: 0,3 2. Range: 76-100 Mean: 88.6 Median: 89 Mode: 3. Range: $15,500-$22,500 Mean: $19,199.88 Median: $19,999 Mode: $22,500 4. Range: 56-100 Mean 85.8 Median: 84 Mode: 88 PAG E

1. 2. 3. 4.

PAG E

1. 2. 3. 4.

131

1/2 0 1/4 1/16

132

2:4 0:4 1:1 1:4

5. 6. 7. 8.

1 1/2 3/5 3/10

9. 10. 11. 12.

1/3 1/30 9/25 1/6

5. 6. 7. 8.

1:3 0:4 4:0 3:5

9. 10. 11. 12.

1:5 8:2 1:3 25:9

144

1. 2. 3. 4. 5. 6. 7. 8. 9. 11. 12.

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

56 12/32 17/34 15/20 159 3,225 29,892 765,138

718 3,680 92,915 34,776

135

3/8 1 3/8 1 22 2 3 3/5 2/9 2 38/45 206 8,010 110.4 147,264 42 25 37.4 27.27

PAG E

1. 2. 3. 4. 5. 6.

134

1 60 -130 -48 799 8,906 28,348 738,117

PAG E

1. 2. 3. 4. 5. 6. 7. 8.

133

2,022 thousands Commutative Property Distributive Property 8 is divisible by more than 1 and itself (for example: 1, 2, 4, 8.) 3,149, 3,194, 3,419, 3,914 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 1, 2, 3, 4, 6, 12 22 x 3 50% or 200% 62 – (11 + 5) = 56 56 + 16 62; 46 + 16 = 62 46 people ate at the hotel.

141.6 455 1,000 21

2,280 5,236 49 16.33

660.4 33,118.8 64 9.06

136

$3.14 $16.43 1 1/4 pizza 1/3 1.2 Perimeter: 70 ft Area: 300 sq ft

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Saddleback Math Covers

10/22/06

6:24 PM

Page 4

MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 6

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

6

100 plus+ REPRODUCIBLE ACTIVITIES

Our partners will collect data and use cookies for ad personalization and measurement. Learn how we and our ad partner Google, collect and use data. Agree & close