Saddleback Math Covers
10/22/06
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MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computati...
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Saddleback Math Covers
10/22/06
6:24 PM
Page 3
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 5
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
5
100 plus+ REPRODUCIBLE ACTIVITIES
MATH COMPUTATION SKILLS & STRATEGIES
LEVEL
5
ISBN 1-56254-968-5 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
Table of Contents Page . . . . . Lesson 5 . . . . . . . . . Introduction Unit 1 . . . Numbers and Number Sense 6 . . . . . . . . . Write Whole Numbers 7 . . . . . . . . . Write Integers 8 . . . . . . . . . Add & Subtract Integers 9 . . . . . . . . . Add & Subtract Integers 10 . . . . . . . . Write Decimals 11 . . . . . . . . Write Fractions and Mixed Numbers 12 . . . . . . . . Find Equivalent Fractions 13 . . . . . . . . Convert Decimals and Fractions 14 . . . . . . . . Order Numbers 15 . . . . . . . . Order Numbers 16 . . . . . . . . Round Numbers 17 . . . . . . . . Round Numbers 18 . . . . . . . . Read Graphs 19 . . . . . . . . Read Linear Graphs 20 . . . . . . . . Read Coordinate Graphs 21 . . . . . . . . Read Graphs with Four Quadrants 22 . . . . . . . . Plot Coordinate Graphs 23 . . . . . . . . Understand Percents 24 . . . . . . . . Find Percents 25 . . . . . . . . Find Percents 26 . . . . . . . . Convert Numbers 27 . . . . . . . . Convert Numbers 28 . . . . . . . . Convert Numbers 29 . . . . . . . . Understand Exponents 30 . . . . . . . . Use Exponents 31 . . . . . . . . Solve Word Problems 32 . . . . . . . . Solve Word Problems 33 . . . . . . . . Review Number Sense 34 . . . . . . . . Review Number Sense Unit 2 . . . . Operations with Whole Numbers and Decimals 35 . . . . . . . . Use Addition/Subtraction Fact Families 36 . . . . . . . . Learn Properties of Addition 37 . . . . . . . . Practice Addition Facts 38 . . . . . . . . Practice Addition Facts 39 . . . . . . . . Add Up to 2 Digits 40 . . . . . . . . Add Up to 4 Digits 41 . . . . . . . . Add Up to 7 Digits 42 . . . . . . . . Add Decimals 43 . . . . . . . . Practice Addition 44 . . . . . . . . Practice Addition 45 . . . . . . . . Practice Addition 46 . . . . . . . . Practice Subtraction Facts 47 . . . . . . . . Practice Subtraction Facts 48 . . . . . . . . Subtract Up to 2 Digits
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
........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........
Subtract Up to 4 Digits Subtract Up to 7 Digits Subtract Decimals Practice Subtraction Practice Subtraction Check Addition and Subtraction Solve Word Problems Solve Word Problems Review Addition and Subtraction Review Addition and Subtraction Understand Multiples Find Multiples Understand Factors Find Prime Factors Practice Multiplication Facts Practice Multiplication Facts Multiply 2 Digits by 1 Digit Multiply 4 Digits by 1 Digit Multiply 7 Digits by 1 Digit Multiply Decimals Multiply 2 Digits by 2 Digits Multiply 4 Digits by 2 Digits Multiply 7 Digits by 2 Digits Multiply Decimals Practice Division Facts Practice Division Facts Divide 2 Digits by 1 Digit Divide 4 Digits by 1 Digit Divide with Remainders Divide with Remainders Divide Decimals Divide 2 Digits by 2 Digits Divide 4 Digits by 2 Digits Divide Decimals Check Multiplication and Division Solve Word Problems Solve Word Problems Review Multiplication and Division Review Multiplication and Division
Unit 3 . . . . Operations with Fractions 88 . . . . . . . . Add Fractions with Like Denominators 89 . . . . . . . . Add Fractions with Unlike Denominators 90 . . . . . . . . Subtract Fractions with Like Denominators 91 . . . . . . . . Subtract Fractions with Unlike Denominators 92 . . . . . . . . Understand Multiplying Fractions 93 . . . . . . . . Multiply Fractions 94 . . . . . . . . Multiply Mixed Numbers 95 . . . . . . . . Understand Dividing Fractions 96 . . . . . . . . Divide Fractions 97 . . . . . . . . Divide Mixed Numbers
Table of Contents 98 . . . . . . . . 99 . . . . . . . . 100 . . . . . . . 101 . . . . . . .
Solve Word Problems Solve Word Problems Review Fractions Review Fractions
Unit 4 . . . . Equations 102 . . . . . . . Write Equations 103 . . . . . . . Use Order of Operations 104 . . . . . . . Solve Equations with Parentheses 105 . . . . . . . Complete Function Charts 106 . . . . . . . Graph Functions 107 . . . . . . . Review Equations 108 . . . . . . . Solve Word Problems Unit 5 . . . . 109 . . . . . . . 110 . . . . . . . 111 . . . . . . . 112 . . . . . . . 113 . . . . . . . 114 . . . . . . . 115 . . . . . . . 116 . . . . . . . 117 . . . . . . . 118 . . . . . . . 119 . . . . . . . 120 . . . . . . . 121 . . . . . . . 122 . . . . . . . 123 . . . . . . . 124 . . . . . . .
Geometry and Measurement Understand Angles Identify Types of Angles Convert Customary Lengths Convert Metric Lengths Understand Perimeter Find Perimeters Find Areas of Parallelograms Find Areas of Triangles Understand Surface Area Find Surface Areas Understand Volume Find Volumes Solve Word Problems Solve Word Problems Review Geometry Review Geometry
Unit 6 . . . . 125 . . . . . . . 126 . . . . . . . 127 . . . . . . . 128 . . . . . . . 129 . . . . . . . 130 . . . . . . . 131 . . . . . . . 132 . . . . . . . 133 . . . . . . . 134 . . . . . . . 135 . . . . . . . 136 . . . . . . . 137 138 139 140 141 142 143 144
Data Analysis and Probability Understand Averages Find Averages Find Probability Find Probability Understand Odds Find Odds Understand Mean, Median, and Mode Find Mean, Median, and Mode Solve Word Problems Solve Word Problems Review Mean, Median, and Mode Review Probability
. . . . . . . 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 Whole Numbers To write whole numbers, just figure out how many billions, millions, thousands, and hundreds there are.
ones
hundreds
tens
ones
hundreds
tens
ones
Ones
tens
Thousands
hundreds
Millions ones
tens
hundreds
Billions
4
6
1, 3
8
7, 2
5
9
Standard form: 461,387,259 Expanded form: 400,000,000 + 60,000,000 + 300,000 + 80,000 + 7,000 + 200 + 50 + 9 Short word form: 461 million, 387 thousand, 259 Directions: Write the number in three different ways.
ones
hundreds
tens
ones
hundreds
tens
ones
Ones
tens
Thousands
hundreds
Millions
5, 2
7
4, 5
1
0, 9
3
5
ones
tens
hundreds
Billions
1.
In standard form
2.
In expanded form
3.
In short word form
Directions: Write each in standard form. a
b
4. four hundred thousand twenty-four
9 thousands, 6 tens, 2 ones
5. 61 thousands, 4 hundreds
84 million, 54 thousand
6. 60,000 + 4,000 + 200 + 10 + 5
403 thousand, 942 hundred
7. 400,000 + 50,000 + 1,000
200 million + 670 thousand
8. 962 million, 232 thousand
56 thousand
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 6
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Write Integers Integers are a set of whole numbers and their opposites.
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 negative numbers
positive numbers
Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero has no sign and is neither positive nor negative.
Directions: Write the number. a
b
1. 10 degrees above zero
8 integers to the left of +3 on the number line
2. a loss of 14 yards
a gain of 12 pounds
3. a gain of 7 points
4 integers to the right of –5 on the number line
4. 12 steps backward
9 degrees below zero
5. the opposite of –233
an altitude of 9,800 feet
6. an earning of 20 dollars
a withdrawal of $1,754 from a bank account
Directions: Write the opposite integer. a
b
7. –5,000
47
8. 5 feet above sea level
–256
9. +15
63
10. 4 yards more than 100
0
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 7
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add & Subtract Integers Use the number line for practice adding and subtracting integers.
-14-13-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Add a positive integer by moving to the right on the number line. 4 + 8 = 12 Add a negative integer by moving to the left on the number line. 3 + ( −7 ) = –4 Subtract an integer by adding its opposite. 5 − 8 = –3
Directions: Add or subtract the integers. a
b
c
d
1.
9+ 4 =
14 + (−3) =
14 − ( +3) =
−14 + 10 =
2.
2+ 9 =
15 + 6 =
8 + (−5) =
−2 + (−9) =
3.
33 + 6 =
43 + 30 =
7 + (−4) =
−13 + (−7) =
4.
−1+ 49 =
11+ (−32)
6 + (−7) =
−5 + (−8) =
5.
15 + 29 =
16 + 35 =
9 + (−9) =
−9 + 5 =
6.
−15 + 5 =
29 + 10 =
−1+ (−31) =
−6 + 7 =
7.
42 + 15 =
42 + 26 =
−28 + 18 =
−19 + 15 =
8.
−3 − (−6) =
−4 − (−3) =
−12 − (−5) =
−13 − 2 =
9.
6 − 10 =
9 − 14 =
5 − 12 =
13 − (−7) =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 8
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add & Subtract Integers Let’s try adding and subtracting integers without the number line! Subtracting Integers: 8 − (−5) = to subtract a positive integer, add its opposite 8 + (+5) = 8+ 5 =
Adding Integers: positive + positive = positive negative + negative = negative positive + negative = positive, negative, or zero
Directions: Add or subtract the integers. a
b
c
1.
7 + (−3) =
−8 + 5 =
−6 + 8 =
2.
77 + (−37) =
92 + 31 =
−87 + 54 =
3.
49 + (−13) =
77 + (−93) =
−66 + 84 =
4.
37 + (−21) =
−17 + 64 =
−99 + 31 =
5.
8 − 16 =
−7 − 4 =
11− 6 =
6.
9− 7 =
−10 − 11 =
−16 − 4 =
7.
40 − 13 =
−62 − 9 =
−37 − 5 =
8.
90 − 42 =
−100 − 20 =
−112 − 6 =
9.
20 − 16 =
19 − 14 =
27 − 11 =
10.
133 − 60 =
−10 − (−4) =
−3 − (−9) =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 9
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Write Decimals Decimals are parts of whole numbers.
tens
ones
tenths
hundredths
thousandths
7, 0
0
0
. 4
2
1
thousands
hundreds
The 1 is in the thousandths place. The value of 2 is 0.02 or “2 hundredths” The number can be read “seven thousand and four hundred twentyone thousandths.”
Directions: Write the decimal or the name of the decimal. a
b
1. five tenths
six and six tenths
2. ninety-two hundredths
fifty-two and nine tenths
3. seven and two tenths
four and thirty-two hundredths
4. three hundreds and four tenths
two hundreds and three tenths
5. six hundred twenty-one thousandths
fifty-three thousandths
6. 0.5
52.9
7. 0.46
53.8
Directions: Write the place of 4 in each number. a
b
8. 0.4
4.23
9. 0.342
472.8
10. 0.004
7.364
11. 24.10
12.4
12. 642.39
4001.59
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 10
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Write Fractions and Mixed Numbers Fractions are also parts of whole numbers.They are written with a numerator and a denominator. The numerator is the number of parts shaded. The denominator is the total number of 5 “five sixths” equal parts. 6 Fractions are less than one. Mixed numbers are greater than one.
5 “one and five sixths” 6
1
Directions: Write the fraction or word form of the fraction. a
c
b
4 5 3 4
five ninths
3.
7 10
four sevenths
9 _ 3
4.
2 3
five fifths
8 _ 5
1. 2.
1 8 11 4
one fifth
_ _
_
Directions: Write the fraction as a mixed number. Simplify. a
c
b
5.
6 4
8 4
13 6
6.
7 4
17 5
12 6
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 11
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Equivalent Fractions Equivalent fractions name the same amount. Let’s try to find fractions equivalent to one another. The same amount is shaded in both pictures. Or, try multiplying the numerator and denominator by the same number:
1 2 = 2 4
1 ⎛ 2⎞ 2 ⎜× ⎟ = 2 ⎝ 2⎠ 4
Directions: Find the missing numerator or denominator. a
b
c
1.
1 = 2 4
2 4 = 3
10 = 5 10
2.
1 = 3 6
2 8 = 5
12 36 = 10
3.
1 = 4 10
4 8 = 7
7 42 = 4
4.
4 12 = 3
4 = 2 10
9 = 3 9
Directions: Write a fraction for the shaded part of the picture. a
b
5.
6.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 12
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Convert Decimals and Fractions All fractions have equivalent decimal forms. Let’s change fractions to decimals.
Any fraction with 10, 100, or 1000 in the denominator is easy to covert: 22 4 = 0.4 100 = 0.22 10 Other fractions are converted into decimals by dividing: 1 = 0.25 4 Change decimals to fractions by writing the decimal over a power of 10, then simplify. 42 ⎛ 2⎞ 21 0.42 "forty-two hundredths" ⎜÷ ⎟ = 100 ⎝ 2⎠ 50 3.5 "three and five tenths"
5 ⎛ 2⎞ 1 ⎜÷ ⎟ = 3 10 ⎝ 2⎠ 2
3
Directions: Write the name of the fraction in short word form, then convert it to decimal form. a
b
1.
5 10
8 5
2.
7 10
1 2
3.
42 100
3 4
4.
17 1000
3 2
Directions: Write as a fraction. Simplify if necessary. a
c
b
5.
0.3
0.75
2.4
6.
0.5
0.43
1.2
7.
0.8
0.50
4.3
8.
0.24
0.375
7.6
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 13
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Order Numbers Ordering numbers helps us understand which are greater and which are less.
4,242 > 3,928
> greater than < less than = equal to
Directions: Compare and order. a
b
1. 795
759
81,960
83,450
2. 626
662
275,163
257,361
3. 922
944
537,420
532,240
4. 1,762
1,276
8,512,924
5. 3,487
3,567
63,512,417
8,413,429 63,855,408
Directions: Order the numbers from least to greatest. 6.
322
7.
6,741
8.
763,818
9.
1,477,405
10.
65,114
248
341
6,738
215
6,241
732,118
721,116
2,642,149 65,141
2,612 712,411
1,432,564
56,416
56,411
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
1,341,716
Date 14
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Order Numbers Decimals can be ordered, too. Use what you know about place value to help you compare decimals. ones
4 4
tenths
hundredths
1
5
1
7
. .
4.17 > 4.15
Directions: Compare and order. Use >, <, or = a
1. 0.4
b
0.03
0.216
0.142
2. 0.55
0.045
10
3. 0.37
0.379
2.531
2.315
5.841
5.04
4. 7.473 5. 1.18
7.464 1.006
6.4
9.3
6.40
Directions: Order from least to greatest. 6.
0.32
3.02
7.
5.27
0.275
8.
8.99
9.6
9.
2.742
10.
8.8
0.31 5.26 9.06
2.624 8.08
0.362 5.73 9.114
3.541
8.21
3.451
8.10
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 15
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Round Numbers To round numbers, simply look at the number to the right of the number to be rounded. If the number to the right is 5 or greater, round up. 477 ➝ 480 If the number to the right is less than 5, round down. 474 ➝ 470 Directions: Round each number to the nearest ten. a
b
c
d
1.
21
64
39
41
2.
107
113
222
75
3.
976
878
765
437
4.
714
699
92
1,428
5.
963
474
319
2,649
Directions: Round each number to the nearest hundred. a
b
c
d
6.
6,743
5,864
472
806
7.
4,532
1,997
531
317
8.
364
2,032
644
322
9.
8,451
7,144
176
864
10.
9,325
2,259
955
283
Directions: Round each number to the nearest thousand. a
b
c
11.
6,563
4,261
12,397
12.
16,742
27,827
64,600
13.
724,794
426,963
7,247,923
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 16
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Round Numbers Rounding decimals follows the same pattern as rounding whole numbers.
Round 0.7642 to the nearest thousandth: to the nearest hundredth: to the nearest tenth:
0.7642 = 0.764 0.7642 = 0.76 0.7642 = 0.8
Directions: Round each decimal to the nearest thousandth, hundredth, and tenth. nearest thousandth
1.
0.4613
2.
1.2781
3.
4.3509
4.
19.7875
5.
27.6432
nearest hundredth
nearest tenth
Directions: Round to the place of the underlined digit. a
c
b
6.
91.10
98.84212
60.7781
7.
994.134
741.45340
9.453
8.
8.4952
37.1915
92.145
9.
367.91
745.2576
17.481
365.63876
69.682
712.9636
10.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 17
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Read Graphs Graphs help us use pictures to estimate numbers.
25% 30%
45%
Directions: Read the above graphs and answer the questions. 1. Who scored around 20 points? 2. How many points did Akira score? 3. Who scored the least points? 4. Which players scored fewer than 15 points? 5. What are the total points for all players combined? 6. How many more points than Jamar did Jose score? 7. What type of breakfast drink do 30% of students drink? 8. What percentage of students drink milk for breakfast? 9. What type of breakfast drink do 25% of students drink?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 18
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Read Linear Graphs Each point on a line graph represents two specific points of information.
Directions: Read the line graph. 1.
What was the attendance for Thursday?
2.
Which day was attendance at the school play 200 people?
3.
On which days did fewer than 300 people attend?
4.
Between which two days was there the greatest difference in attendance?
5.
Between which days was there a decrease in attendance?
6.
Between which days was there a increase in attendance?
7.
What two pieces of information does the second point on the graph represent?
8.
What two pieces of information does the last point on the graph represent?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 19
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Read Coordinate Graphs Ordered pairs appear on coordinate graphs and are written as (x,y). Directions: Write the ordered pair for each point on the graph. a
b
1.
A
F
2.
B
G
3.
C
H
4.
D
I
5.
E
J
Directions: Write the letter for the point named by the ordered pair. a
6.
(7,7)
(0,1)
7.
(2,8)
(2,0)
8.
(3,1)
(4,9)
9.
(4,7)
(9,6)
10.
(7,4)
(8,3)
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
b
Date 20
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Read Graphs with Four Quadrants Each of the four parts of the coordinate graph is called a quadrant. Directions: Write the ordered pair for each point on the graph. a
b
1.
A
F
2.
B
G
3.
C
H
4.
D
I
5.
E
J
Directions: Write the letter for the point named by the ordered pair. a
6.
(5,5)
(4,2)
7.
(-3,3)
(2,4)
8.
(-4,2)
(1,0)
9.
(3,-5)
(0,-4)
10.
(5,-1)
(-3,-5)
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
b
Date 21
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Plot Coordinate Graphs You can use the ordered pairs to plot points on the graph. Directions: Plot the points on the coordinate graph. a
b
1.
A (7,7)
B (7,1)
2.
C (3,5)
D (2,0)
3.
E (5,2)
F (0,10)
4.
G (8,6)
H (6,4)
5.
I (10,5)
J (9,3)
Directions: Plot the points on the four quadrant graph.
a
b
6.
A (2,4)
B (-8,0)
7.
C (5,7)
D (0,-10)
8.
E (8,10)
F (-7,-9)
9.
G (1,0)
H (3,-10)
10.
I (-3,5)
J (-9,-7)
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 22
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Percents Percents simply means “per hundred.”
16 out of 100 squares are shaded. “16 hundredths” = 0.16 or
16 or 16% 100
Directions: Write a decimal, a fraction, and a percent to represent the shaded part. 1.
2.
3.
4.
5.
6.
Directions: Shade the grid to show the percent. 7.
62%
8.
4%
9.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
94%
Date 23
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Percents Find the percent of a number by multiplying the number by the decimal equivalent of the percent. Directions: Write the number. a
b
1. What is 25% of 10?
2% of 70
2. 5% of 20
3% of 40
3. 2% of 50
15% of 120
4. 10% of 100
30% of 200
5. 40% of 200
150% of 80
Directions: Complete the sentence. a
b
6.
is 60% of 100.
is 40% of 300.
7.
is 10% of 50.
is 30% of 10.
8.
is 20% of 200.
is 70% of 20.
9.
is 50% of 40.
is 80% of 60.
10.
is 25% of 40.
is 42% of 150.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 24
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Percents Try finding percents by using division.
What percent of 100 is 5? 60 is 5% of what number?
5 ÷ 100 + .05 = 5% 60 ÷ 0.05 = 1,200
Directions: Answer the question or complete the number sentence. a
b
1. What percent of 40 is 5?
What percent of 150 is 15?
2. What percent of 8 is 48?
What percent of 400 is 20?
3. What percent of 100 is 10?
What percent of 45 is 9?
4. What percent of 20 is 4?
What percent of 30 is 30?
5. What percent of 200 is 50?
What percent of 4000 is 4?
6.
= 8% of 16
= 25% of 250
7.
= 100% of 60
= 15% of 45
8.
= 50% of 90
% of 10 = 5
9.
= 40% of 100
% of 20 = 2
10. 26 =
% x 520
294 =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
% x 980
Date 25
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Convert Numbers Percents can be understood as both decimals and fractions.
10% (0.10) is “10 hundredths” or 10 1 = 100 10 Directions: Write each percent as both a decimal and a fraction. Simplify. a
b
1. 25%
63%
2. 7%
16%
3. 67%
125%
4. 92%
46%
5. 150%
200%
Directions: Write each decimal as a fraction and a percent. a
b
6. 0.51
0.04
7. 0.72
0.125
8. 0.3
0.423
9. 0.06
1.24
10. 0.15
2.78
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 26
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
€
Convert Numbers Find an equivalent fraction with a common denominator of 100, and then write the numerator with a percent sign. 4 20 80 × = = 80% 5 20 100 Directions: Convert each fraction to a percent. a
c
b
1.
53 = 100
1 2
=
9 10
=
2.
49 = 100
1 4
=
5 10
=
3.
75 = 100
3 4
=
23 = 25
4.
83 = 100
3 5
=
11 = 20
5.
138 = 100
2 5
=
23 = 50
6.
250 = 100
21 = 5
5 = 25
7.
12 = 100
1 = 10
3 10
=
8.
9 = 100
1 5
7 10
=
9.
20 = 100
7 = 10
48 = 5
10.
91 = 100
99 = 10
3 = 25
=
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 27
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Convert Numbers Let’s continue our practice of converting percents, decimals, and fractions.
Directions: Write each decimal as a fraction and as a percent. a
b
1. 0.635
0.3
2. 0.819
0.102
3. 3.69
0.6
4. 23.5
16.25
5. 100.75
200.2
Directions: Complete the tables. Fraction Percent Decimal
Fraction Percent Decimal
0.06
6. 7. 8.
18% 25%
10.
12.
34%
14.
40%
0.8 50% 0.49
15.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
64%
13.
0.17
9.
11.
Date 28
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Exponents Exponents show how many times a number is used as a factor.
49 7X7
7 X 7 can be written in exponent form. exponent 72 base
7 x 7 can be read, “7 to the 2nd power” or “7 squared.” Directions: Write the prime factorization or the exponent. a
b
1.
12
6× 6× 6
2.
73
3× 3× 3× 3× 3× 3
3.
16 4
8× 8× 8× 8
4.
20 5
5× 5× 5× 5
5.
34
12 3
Directions: Write either the exponent or the name of the exponent. a
b
6.
10 to the 2nd power
100 4
7.
43
−2 2
8.
six to the fifth power
714 3
9.
two to the sixth power
eight to the first power
nine cubed
4 to the power of 0
10.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 29
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Use Exponents Now, let’s learn how to use exponents.
10 3 = 10 × 10 × 10 = 1000 exponent form
meaning
4 2 = 4 × 4 = 16
value
exponent form
meaning
value
Directions: Write the value of each. a
1.
b
10 5
22
12 2
2. 10 4 3.
33
10 2
4.
45
82
5.
53
37
6. nine squared 7.
six cubed
22 × 42
16 × 61
8. 7 cubed x 10 squared
12 squared + 10 cubed
Directions: Write the expression using exponents. a
b
9. 5 × 5 × 5
3 × 10 × 3 × 10
10. 14 × 1 11.
5× 6× 3× 3× 6× 5 2 × 2 × 7 ×1
4 × 4 × 10 × 10
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 30
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems When you read word problems, look for important words and phrases to help you figure out what you need to do to solve. Directions: Read each problem and solve. 1. The average rainfall during springtime is 6.13 cm per month.When rounded to the nearest tenth, what is the average rainfall? 2. Washington School has 4,036 students. Nicklin School has 4,360 students. Which school has the most students? 3. Which point on the number line represents a number greater than 0.2 but less than 0.5?
A
B
C D
0.0 0.1 0.2 0.3 0.4 0.5
4. Students are allowed no more than 2.5 hours of study hall per week.Which of the following students have gone over the allowed amount of study hall time? name Abby Pedro Rosalyn Daniel
hours of study hall 1 2 2 3 2 4 2.53 1 2 3
5. During flu season, 40% of the 35 students in Mrs. Rodriguez’s class got the flu. How many students got sick? Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 31
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems Word problems can be fun! Let’s keep trying to solve them! Directions: Read each problem and solve. 1. Scientists have just discovered people on Pluto. Here are the populations for the years 2003 and 2005 in the four villages on Pluto. village
List the places in order of increasing size in both 2003 and 2005.
population 2003
2005
Vertu
129
204
Eilosa
308
292
Pridi
90
50
Dedrum
1200
1500
2003
2005
2. In which year was the total population of the planet greater? 3. There are 50 children and 20 adults in one neighborhood in Dedrum.What percent of the total people in this neighborhood are children?
15%
4. Reality shows make up what percent of TV watching?
50%
20%
5. Write the percent of comedy shows watched as a fraction. 6. Write the percent of talk shows watched as a decimal.
15%
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 32
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Number Sense Let’s review what we’ve learned so far! Directions: Rewrite the number in another form. a
1.
2.
b
six million four hundred thousand
40,000 + 7,000 + 600 + 70 + 2
in expanded form
in standard form
a deposit of $20 in a bank account
43 degrees below zero as an integer
as an integer 3.
4.
the opposite of –534 as
the opposite of 16 feet above sea
an integer
level as an integer
sixteen tenths as a decimal
twenty nine hundreds and five tenths as a decimal
5.
six sevenths as a fraction
0.57 as a fraction
7 as an equivalent fraction 10 5 in short word form 8
8.
6.23 as a fraction
13 as an equivalent fraction 10 5 6 as a fraction 9 4% of 12 as a decimal
9.
6% of 40 as a fraction
116% as a decimal
10.
232% as a fraction
2
11.
53 as a mixed number 8
5 to the tenth power
12.
six to the first power
14 cubed
6. 7.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
3 as a decimal 5
Date 33
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Number Sense Keep practicing!
Directions: Order the numbers from least to greatest. a
b
1.
204 242 224
7 7 77 10 100 100
2.
631 361 163
1 7
1 8
3.
2,479 2,947 2,794
0.45
45 45 10 1000
4.
0.434 0.043 0.334
5.
10.07 10.7 10.071
1 3
6 0.16 10 0.006 23.47
2
5 6
47 10
Directions: Answer the question. 6.
What is 13 digits to the left of +10 on a number line?
7.
What is 0.146 rounded to the nearest tenth?
8.
What is 7,644 rounded to the nearest thousand?
9.
In 17,891 which digit is in the thousands place?
10.
Write the place value of 5 in the number 122.15
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 34
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Use Addition/Subtraction Fact Families These fact families will help you learn faster!
Fact family: 2, 5, 7 Addition: 2 + 5 = 7; 5 + 2 = 7 Subtraction: 7 – 2 = 5; 7 – 5 = 2
Directions: Use the fact families to write at least one addition sentence and one subtraction sentence. a
b
c
1.
Fact family: 8, 1, 9 Addition: Subtraction:
Fact family: 20, 15, 5 Addition: Subtraction:
Fact family: 64, 40, 24 Addition: Subtraction:
2.
Fact family: 11, 5, 16 Addition: Subtraction:
Fact family: 32, 17, 15 Addition: Subtraction:
Fact family: 78, 51, 27 Addition: Subtraction:
3.
Fact family: 9, 7, 16 Addition: Subtraction:
Fact family: 25, 12, 13 Addition: Subtraction:
Fact family: 86, 23, 63 Addition: Subtraction:
4.
Fact family: 12, 7, 19 Addition: Subtraction:
Fact family: 27, 21, 6 Addition: Subtraction:
Fact family: 97, 52, 45 Addition: Subtraction:
5.
Fact family: 8, 13, 5 Addition: Subtraction:
Fact family: 41, 20, 21 Addition: Subtraction:
Fact family: 101, 66, 35 Addition: Subtraction:
6.
Fact family: 7, 8, 15 Addition: Subtraction:
Fact family: 53, 13, 40 Addition: Subtraction:
Fact family: 150, 96, 54 Addition: Subtraction:
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 35
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Learn Properties of Addition Learning the properties of addition will make addition easier. Commutative Property: Changing the order of numbers 4 + 6 = 10 does not change the sum. 6 + 4 = 10 Associative Property: Grouping numbers does not change the sum.
Zero Property: The sum of zero and any number is that number.
(6 + 4) + 2 = 12 123
12 + 0 = 12
10
6 + (4 + 2) = 12 123 6
Directions: Use the properties of addition to help you add.Tell which property you use in each case. 1. 12 + 4 =
+
2. 20 + 14 =
=
+
3. 50 + 120 =
____________
=
+
____________
=
4. 100 + 0 = 5. 150 +
____________ ____________
= 150
6. (26+6) + 7 =
____________ +(
+
7. 20 + 0 = 8. 52 + 25 =
)=
____________
____________ +
9. 260 + 620 =
= +
____________ =
____________
10. 17 + (87+42) = (
+
)+
=
____________
11. 63 + (27+15) = (
+
)+
=
____________
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 36
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Addition Facts Learn the fast facts of adding! Directions: Add. Learn the fast facts of addition by timing yourself. a
b
c
d
e
1.
1+ 9 =
3+ 6 =
7+ 7 =
4+ 4 =
7 +1=
2.
6+ 4 =
8+ 4 =
8+ 3 =
2+ 5 =
10 + 4 =
3.
5+ 4 =
9+ 3 =
6+ 5 =
7+ 3 =
4+ 5 =
4.
9+ 2 =
8+ 8 =
8+ 2 =
8 +1=
2+ 9 =
5.
2+ 7 =
7 +1=
5+ 5 =
10 + 0 =
12 + 3 =
6.
2+ 5 =
3+ 2 =
2+ 4 =
6+ 2 =
10 + 8 =
7.
3+ 3 =
6+ 6 =
7+ 6 =
10 + 3 =
12 + 7 =
8.
4+ 3 =
8+ 0 =
0+ 9 =
7 + 10 =
13 + 1 =
9.
7+ 4 =
7 +1=
10 + 2 =
2 +1=
12 + 4 =
10.
4+ 9 =
9+ 5 =
1+ 6 =
11+ 1 =
4+ 8 =
11.
5+ 3 =
10 + 1 =
10 + 5 =
10 + 10 =
12 + 5 =
12.
5 +1=
8+ 5 =
4 +1=
4+ 7 =
11+ 3 =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 37
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Addition Facts Let’s try more fast facts! Directions: Time yourself. Learn these addition facts by heart. a
b
c
d
1.
6 + 10 =
11+ 5 =
18 + 9 =
18 + 2 =
2.
8+ 6 =
13 + 4 =
17 + 8 =
13 + 8 =
3.
7+ 5 =
15 + 7 =
11+ 8 =
20 + 2 =
4.
8+ 7 =
17 + 9 =
12 + 10 =
18 + 5 =
5.
9+ 8 =
16 + 9 =
18 + 6 =
19 + 9 =
6.
9+ 7 =
15 + 8 =
15 + 10 =
23 + 5 =
7.
9+ 9 =
12 + 4 =
17 + 3 =
21+ 3 =
8.
9+ 6 =
14 + 8 =
13 + 3 =
30 + 13 =
9.
11+ 4 =
15 + 6 =
16 + 7 =
19 + 4 =
10.
13 + 7 =
12 + 8 =
22 + 5 =
24 + 6 =
11.
14 + 6 =
11+ 7 =
13 + 7 =
27 + 4 =
12.
12 + 0 =
13 + 6 =
15 + 9 =
16 + 11 =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 38
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add Up to 2 Digits Let’s try adding bigger numbers. Add from right to left:
1
1
65 + 22 97
89 + 72 161
Directions: Add. Regroup when necessary. a
b
c
d
e
f
1.
48 + 72
67 + 18
44 + 31
12 + 21
13 + 11
76 + 10
2.
45 + 13
51 + 29
27 + 15
63 + 11
36 + 66
89 + 19
3.
82 + 20
73 + 17
93 + 22
10 + 88
68 + 25
71 + 42
4.
34 + 91
13 + 24
72 + 26
27 + 58
30 + 74
76 + 93
5.
55 + 28
94 + 10
14 + 83
45 + 23
63 + 42
52 + 27
6.
35 + 75
26 + 31
47 + 78
54 + 27
65 + 31
31 + 49
7.
26 + 35
47 + 78
75 + 24
85 + 53
77 + 77
68 + 99
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 39
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add Up to 4 Digits You’re becoming a pro! 1 11
4793 + 348 5321 Directions: Add. a
b
c
d
e
f
1.
1723 + 47
1964 + 29
1680 + 36
1524 + 57
1205 + 18
1322 + 65
2.
1563 + 75
1984 + 86
1629 + 94
1746 + 71
1427 + 83
1128 + 42
3.
2762 + 416
7216 + 317
6431 + 157
4259 + 511
6178 + 275
3672 + 648
4.
8428 + 229
3675 + 140
3759 + 613
1416 + 214
4536 + 463
8093 + 732
5.
5216 + 845
9230 + 517
2911 + 245
4218 + 316
2537 + 1995
8934 + 1261
6.
8309 + 1467
3085 + 2085
3182 + 4296
4164 + 1771
2420 + 4240
5124 + 1017
7.
7832 + 2654
1863 + 3126
2 711 + 5625
1999 + 7644
1119 + 4217
2015 + 1230
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 40
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add Up to 7 Digits Keep adding.You’re getting good at it! 1
1
6, 74 3,182 9,750 + 6, 752, 932 Directions: Add. a
b
c
d
1.
4, 976, 310 + 492, 761
9,764 ,153 + 5, 544, 534
1, 430, 172 + 335 , 419
2, 035, 821 + 757, 345
2.
1, 354, 867 + 6, 921, 899
3, 847, 327 + 2, 651, 986
5, 329, 495 + 5, 660, 375
7 , 634, 278 + 6, 374, 638
3.
6, 433, 367 + 6 , 728, 358
8, 647, 568 + 3, 863, 269
2 , 785, 889 + 5, 902, 603
4, 396, 345 + 9, 617, 311
4.
3, 829, 932 + 3, 290, 133
5, 726, 483 + 5, 419, 566
6, 537, 285 + 4, 510, 935
7, 622,164 + 2, 140, 527
5.
9, 963, 275 + 2, 693, 359
8 , 257, 410 + 6, 779, 028
7 , 563 ,150 + 3, 736, 162
9, 648 ,103 + 2, 460,128
6.
7 , 182, 648 + 5, 202, 535
2 , 568 , 973 + 7, 268, 822
6 , 258, 473 + 5, 411, 650
8, 675, 309 + 7, 737, 5 00
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 41
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add Decimals Adding 0decimals .4 + 0.63is easy! Just line up the decimal points. 0.4 + 0.63
1
0.40 ¨ add a zero so the decimals have the same number of places +0.63 1 0.40 1.03 +0.63 Directions: Add the decimals. 1.03 a
b
c
d
1.
0.24 + 6.9
3.48 +17.95
1. 354 + 4.13
2. 573 +15.98
2.
4.0 + 8.12
19.07 + 0.08
8 . 095 + 7. 986
7.009 + 3.38
3.
3.73 + 2.763
0.53 + 0.032
77.813 + 35.17
5.006 +102.48
4.
0 .015 + 2.920
7.142 + 1. 3139
734.309 + 32.906
4 832.56 + 2759. 1
5.
38.6 + 0.09
27.9 + 14.32
0.93621 + 1 .4765
47.073 + 63.09
6.
0.843 + 0.4792
5.65 +3.87
64.95 + 3.2
6.571 + 66.23
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 42
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Addition Practice makes perfect! Directions: Add. a
b
c
d
e
1.
82 +24
267 + 570
7, 512 + 393
52, 964 +71, 530
63,141 +82,169
2.
44 + 22
138 + 625
21, 837 + 6, 431
46, 781 +52, 432
1, 020, 587 +7,123, 564
3.
853 + 231
832 +145
78, 302 +21, 345
94, 628 +14, 830
728, 451 +783, 240
4.
372 +480
796 +374
52, 645 + 3, 512
74, 326 + 2, 469
3,124, 000 + 6, 613
5.
761 +842
421 +728
72, 430 + 6, 741
68, 351 + 5, 284
2,157 +323, 090
6.
8, 431 +1, 083
5, 001 +2, 173
84, 257 + 1, 230
5, 401, 364 +2, 911, 532
3, 456, 182 + 621, 435
7.
2 ,196 + 3, 842
812 + 614
21, 659 + 7,105
46, 365 + 49
93,146 + 639
8.
5, 215 + 8 ,165
308 + 410
73, 431 + 5, 214
3, 732 .43 + 0.67
2 , 117, 105 +4, 004, 632
€ Name
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 43
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Addition Addition is a useful skill! Keep practicing. Directions: Add. a
b
c
d
e
1.
1.760 +3.394
0.634 + 1.369
43 .240 + 67. 116
624.3 + 427.16
9 , 282.394 + 5, 411. 650
2.
34 . 096 + 65. 510
46 .40 + 0. 72
177. 1634 + 643.2768
999.32 + 331. 00
979.783 + 317.62
3.
10.025 + 93.006
0.601 + 4.387
96, 843.31 + 898.2
382.77 + 309.42
1, 458.10 + 573.697
4.
104.13 + 35.035
0.54 + 8.71
416.45 + 273.13
951.43 +275.90
144.2184 + 3.934
5.
23.375 +31.657
168.21 +149.42
771 +397.54
0.7543 +425.6
1, 890.4366 +2, 657.2858
6.
83.08 +12.32
60.05 +75
691.04 +173.42
403.3917 + 7.500
506 + 0.43
7.
98.31 +66.15
215.84 + 95
45.7911 +357.5
629.477 +122.04
8000.800 + 7020.1704
8.
287.01 + 95.2
36.9 +24.0
196.64 +276.48
895.23 + 0.42
63.752606 +7.922616
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 44
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Addition One more page of practice can’t hurt! Directions: Add. a
b
1.
3, 143 + 46, 735
4, 752 + 63, 646
2.
15, 830 + 75, 558
3.
c
d
e
8, 718 + 5, 966
50, 237 + 29, 791
27, 810 + 35, 238
19, 054 + 15, 967
5 1, 241 + 22, 111
3 7, 163 + 20, 719
19, 417 + 50, 720
68, 201 + 82, 246
74, 148 + 26, 290
99, 239 + 13, 833
95, 15 1 + 65, 428
16, 566 + 11, 606
4.
46, 169 + 15, 254
9, 47 1, 464 + 3, 483, 217
5, 171, 837 + 6, 418, 923
6, 238, 885 + 7, 201, 684
5, 648, 040 + 3, 743, 375
5.
480, 987, 303 826, 981, 501 523, 314, 802 + 387, 876, 955 + 611, 357, 241 + 3, 450, 400
7, 453, 072 + 2, 041, 143
1, 596, 741 + 419, 564
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 45
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Subtraction Facts We’ll start with subtraction we already know.
Directions: Practice learning subtraction facts. a
b
c
d
1.
6− 5 =
8− 7 =
7− 5 =
10 − 8 =
2.
6− 6 =
12 − 5 =
6− 2 =
14 − 6 =
3.
11− 8 =
9− 2 =
7− 2 =
9− 4 =
4.
7− 3 =
9− 3 =
10 − 3 =
12 − 7 =
5.
9 −1=
5− 5 =
7− 6 =
11− 2 =
6.
9− 6 =
4− 0 =
10 − 1 =
8− 5 =
7.
7− 5 =
11− 7 =
12 − 4 =
13 − 5 =
8.
9− 5 =
8− 6 =
12 − 9 =
18 − 9 =
9.
8− 3 =
10 − 7 =
16 − 5 =
14 − 8 =
10.
12 − 8 =
13 − 7 =
15 − 5 =
13 − 8 =
11.
14 − 9 =
10 − 3 =
18 − 1 =
17 − 4 =
12.
11− 9 =
15 − 7 =
12 − 3 =
16 − 8 =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 46
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Subtraction Facts Try learning subtraction facts with larger numbers.
Directions: Time yourself as you practice these subtraction facts. a
b
c
d
1.
13 − 9 =
20 − 5 =
14 − 5 =
47 − 4 =
2.
14 − 9 =
19 − 4 =
15 − 8 =
20 − 18 =
3.
14 − 6 =
22 − 6 =
46 − 1 =
27 − 8 =
4.
15 − 9 =
12 − 10 =
53 − 6 =
61− 14 =
5.
16 − 7 =
30 − 7 =
72 − 4 =
65 − 11 =
6.
10 − 8 =
32 − 10 =
40 − 15 =
81− 17 =
7.
16 − 9 =
39 − 9 =
24 − 7 =
54 − 10 =
8.
17 − 10 =
42 − 9 =
26 − 16 =
68 − 13 =
9.
11− 8 =
23 − 8 =
35 − 9 =
70 − 11 =
10.
17 − 9 =
62 − 6 =
50 − 14 =
100 − 12 =
11.
13 − 8 =
80 − 4 =
63 − 10 =
89 − 7 =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 47
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Subtract Up to 2 Digits Subtract more than one digit by regrouping the numbers.
Subtract from right to left, using the regrouping technique.
4
52 − 37 15
Directions: Subtract. Regroup when necessary.
€
a
b
c
d
1.
32 − 12
89 − 63
51 − 17
19 − 14
2.
27 − 15
75 − 24
22 − 14
44 − 18
3.
52 −27
94 − 26
67 − 32
53 − 36
4.
65 − 48
84 − 32
34 − 12
66 − 52
5.
90 − 72
82 − 64
46 − 37
81 − 46
6.
37 − 19
72 − 28
96 − 27
57 − 12
7.
33 − 21
80 − 65
70 − 21
96 − 35
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 48
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Subtract Up to 4 Digits Keep going with even bigger numbers. 1
6 21
1731 − 1487 244
Directions: Subtract. Regroup when necessary. a
b
c
d
e
1.
7234 − 5361
8240 − 5611
6241 − 2785
6430 − 5429
6640 − 2741
2.
9264 − 1578
6061 − 4835
4132 − 3087
5312 − 3964
2731 − 1658
3.
8140 − 3594
4235 − 1578
1330 − 475
1764 − 1238
8023 − 2990
4.
9968 − 882
8818 − 2982
9495 − 3109
9114 − 6478
3724 − 1189
5.
6266 − 6158
3851 − 2355
3903 − 1745
5186 − 2719
9501 − 8247
6.
2901 − 1347
6020 − 3427
6400 − 5538
1901 − 1146
5364 − 3496
7.
9224 − 5514
2276 − 1864
7269 − 1162
6185 − 921
8319 − 4119
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 49
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Subtract Up to 7 Digits Wow! You’re working with some big numbers! Directions: Subtract. a
b
c
d
1.
529, 840 − 60, 841
358, 618 − 263, 449
5, 990, 539 − 848, 333
9, 592, 407 − 3, 496, 618
2.
140, 429 − 39, 465
723, 656 − 302,148
9,697, 601 − 786, 590
6, 926,171 − 4, 378, 686
3.
649, 893 − 14, 556
473, 001 − 318, 898
6, 730, 505 − 220, 080
7, 357, 812 − 1, 257, 384
4.
126, 806 − 68, 930
994, 896 − 448, 125
4,792, 385 − 369, 302
8, 259, 270 − 7, 232,497
5.
345, 297 − 56, 046
325, 826 − 122,198
1, 972, 286 − 177, 398
1, 371, 911 − 1, 274, 366
6.
705, 319 − 71, 402
225, 068 − 216, 696
2, 617, 318 − 351, 201
2,520, 407 − 2,114, 048
7.
880, 661 − 62, 577
596,193 − 124, 370
3, 587, 628 − 522, 459
4, 426, 730 − 1, 000, 010
8.
254, 964 − 29, 941
751, 395 − 456, 016
7, 851154 , − 425,188
5, 374, 020 − 4, 218, 182
€ Name €
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 50
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Subtract Decimals Remember to align the decimals as you subtract.
Directions: Subtract. a
b
c
d
e
f
1.
19.9 − 19.1
61.3 − 44 .1
18.07 −1.01
89.96 − 3.04
0.476 − 0.370
74.69 − 18.47
2.
7.1 − 2.9
59.2 − 2.8
17.66 − 1.3
97.2 − 93.94
92.1 − 1.9
94.5 − 48.2
3.
3.1 − 1.8
72.3 − 2.5
52.74 − 8.52
64.173 − 40.01
5.9 − 1.5
3.077 − 1.75
4.
42.6 − 7.2
13.5 − 1.6
9.4 − 2.05
41.945 − 1.294
7.5 − 7.41
29.156 − 7.6
5.
9.1 −7.9
93.9 − 8.1
65.27 − 3.02
65.854 − 6.8
9.7 − 2.01
5.837 − 1.601
6.
20.2 − 9.1
9.2 −2.6
19.21 −11.07
7.0032 −5.25
37.2 −19.9
66.355 −28.3
7.
96.1 −8.6
70.9 −19.1
84.8 −30.06
61.004 −60.485
8.5 −5.44
9.04 −2.248
8.
52.6 −4.8
9.15 −5.56
63.35 −18.52
82.2951 −42.0273
80.3 −5.6
8.397 −5.2
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 51
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Subtraction Now, let’s practice those subtraction skills!
Directions: Subtract. a
b
c
d
e
f
1.
78 − 15
515 − 208
7,169 − 526
83, 454 − 4, 440
357409 , − 96,108
4, 749, 908 − 254, 394
2.
64 − 20
374 − 347
4, 766 − 831
77, 184 − 6, 003
646, 844 − 73, 024
2, 618, 835 − 356, 262
3.
79 − 66
833 − 388
6, 430 −1, 704
24, 260 −2, 521
822, 241 − 82,119
6, 421, 203 − 5, 959, 777
4.
87 − 26
136 − 97
4, 534 − 4, 499
52,662 −17,138
269, 628 − 88, 538
3,143, 981 − 2, 306, 823
5.
92 − 39
492 − 85
8, 921 − 4, 927
67, 203 − 42, 209
806, 420 − 466, 229
7, 561, 035 − 4, 523, 010
6.
72 − 33
366 − 245
8, 405 − 7, 276
73, 424 − 46, 007
989, 837 − 443,103
59.5 − 24.3
7.
34 − 28
723 − 396
7, 582 − 7, 076
97, 239 − 49, 287
696, 337 − 273, 913
66.489 − 2.494
8.
95 − 46
905 − 347
9,154 − 2,392
60, 844 − 31, 011
784, 915 − 772, 033
42, 027 − 8, 295
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 52
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Subtraction Keep it up! You’re almost there!
Directions: Subtract. a
b
c
d
e
f
1.
17 −9
714 −17
811 − 597
5, 668 − 5, 440
227,194 − 84, 517
90.3 − 74.9
2.
12 −8
726 − 30
673 − 583
2, 206 − 2, 041
327, 883 − 91, 241
41.8 − 41.6
3.
16 −7
125 − 40
564 − 372
7 ,132 − 5, 285
707, 901 − 603, 201
69. 2 − 37.05
4.
66 −19
920 − 34
801 − 581
89, 227 −14, 822
740, 969 − 200, 634
34.8 −11.54
5.
59 −15
470 − 97
997 − 776
76, 269 − 8, 926
930, 456 − 459, 994
7.102 − 4.9
6.
78 − 37
739 − 669
1, 017 − 984
82, 424 − 3, 719
437, 994 − 31, 003
75.843 − 3.9
7.
47 −38
893 −356
5, 311 −721
67, 914 −48, 800
9, 637, 725 −235, 406
77.1 −1.1
8.
81 −39
826 −393
9, 305 −814
41, 574 −34, 654
8, 498, 892 −5, 435 , 180
71.05 −44.983
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 53
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Check Addition and Subtraction You can check your own work to make sure you’re on the right track! Check addition with subtraction.
Check 43 31 subtraction − 12 Á + 12 with addition. 31 43
52 65 + 13 Á − 13 65 52
Directions: Add.Then subtract to check your answer. a
b
1.
52 + 27
91 + 73
2.
63 + 25
3.
56 + 48
c
d
e
38 + 19
153 + 85
816 + 395
45 + 33
126 + 37
703 + 192
926 + 178
47 + 78
172 + 76
546 + 931
927 + 405
Directions: Subtract.Then add to check your answers. a
b
c
d
e
4.
75 − 24
37 − 22
542 − 45
764 − 574
654 − 309
5.
89 − 63
45 − 29
748 − 35
733 − 322
429 − 318
6.
95 − 26
78 − 63
322 − 58
812 − 732
829 − 573
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 54
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems Word problems tell a story using numbers. Directions: Solve. Show your work. 1. Mrs. Harris delivered thirty-one letters to the houses on Walker Street and fifty letters to the houses on Elm Street. How many more letters did she bring to the houses on Elm Street?
2. Ohio’s highest elevation is Campbell Hill at 1,549 feet above sea level. The lowest elevation is the Ohio River, measuring 455 feet above sea level. What is the difference between the highest elevation and the lowest?
3. Grandma stitched a quilt for me. She used sixty-one red squares, seventyfour blue squares, seventy-nine yellow squares, and ninety-two green squares. How many squares did it take to make the quilt?
4. Mr. Rodriguez counted the blue pants in his sporting good store.There were 42 small blue pants, 18 medium blue pants, and 76 large blue pants.There were also 14 extra large blue pants. How many pants were there in all?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 55
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems Use the word clues in each story to solve. Directions: Solve. 1. The Los Angeles Lakers played the Boston Celtics on Tuesday. 15, 432 tickets were sold on Monday. If the total number of tickets available for sale is 19, 392, how many tickets were available for sale on the day of the game?
2. Tasha has 12 candy bars to share equally with 2 friends. How many candy bars will Tasha have for herself after she shares the candy with her friends?
3. The family dog buries objects under the porch.This month, she has buried 13 bones, 4 slippers, 2 balls, and 1 rag. She dug up four bones and the rag. How many objects are still buried?
4. Mikah had to stop running in order to catch his breath. He had run 4 blocks north, 1 block east, 3 blocks south, and 9 blocks west. How many blocks did Mikah run in all?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 56
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Addition and Subtraction Let’s mix it up a little with some practice! Directions: Solve. a
b
c
d
e
f
1.
571 + 79
710 + 45
538 + 75
544 − 39
459 − 32
342 − 23
2.
245 + 312
139 + 259
643 + 710
1, 210 − 516
3.
2,161 − 471
1, 122 + 3, 314
4.
30 48 + 23
43 32 + 15
5.
6, 477 + 1, 255
66 , 174 + 2, 310
6, 292 − 552
7, 834 − 378
4, 710 − 145
39, 340 + 1 , 792
2, 562 − 1, 003
6, 323 − 4 , 701
3, 549 7, 834 + 3, 512
31, 605 − 14, 791
7, 206 − 5, 216
2, 520 73 − 172
91, 432 + 67, 529
4, 914 − 3, 718
1, 720 4, 350 + 8 , 321
1, 827, 321 + 3, 456, 004
Directions: Solve. 6. Skylar, Li, and Kaylee held a contest to find out who could throw the ball the longest distance. Skylar could throw it 8 feet. Li could throw it 17 feet. Kaylee could throw it 20 feet. How many feet further could Kaylee throw than Li?
7. My dad mended my torn socks. I found 14 in my closet, 8 in the laundry, 1 on the floor, and 5 in the dryer. How many torn socks did I have?
Name €
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 57
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Addition and Subtraction Here’s some more practice. Directions: Solve. a
b
c
d
e
f
1.
854 + 86
653 + 97
231 + 76
127 + 82
962 + 47
832 + 69
2.
224 +296
652 −315
930 −462
768 −252
784 +829
274 −172
3.
5, 068 +3, 678
7,105 −6,134
9, 226 − 1 , 435
3, 672 − 1, 539
4 ,136 + 5, 370
3, 471 +5, 792
4.
84 60 +32
42 33 +23
2, 816 32 + 142
62, 982 +80,170
5.
5, 534 1, 468 +3,137
42,163 −21, 911
13 , 128 − 2, 469
3, 089 −2, 654
6, 587, 219 9, 742, 531 + 7, 304, 267 −3, 274, 612
8, 323 −1, 476
3, 573 −1, 829
Directions: Solve. 6. Today, we are having a kite competition.There are 50 red kites, 112 yellow kites, 24 green kites, and 70 blue kites in the competition. How many kites total are in the competition?
7. Samir had 729 yards of silk in his store. Zaira bought 12 yards and Yulfia bought 9 yards. How many yards of silk does Samir have left in the store?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 58
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Multiples A multiple is a product of a given number and any whole number. Multiples of 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36
2
3
3
4
4
9
6 8
12
15 16
12
21 24
18 20
12 units
24
27
30
28
32
24 units
33 36 36
36 units
Directions: List the first 10 multiples of each number. 1.
5
,
,
,
,
,
,
,
,
,
2.
6
,
,
,
,
,
,
,
,
,
3.
7
,
,
,
,
,
,
,
,
,
4.
8
,
,
,
,
,
,
,
,
,
5.
9
,
,
,
,
,
,
,
,
,
6.
12
,
,
,
,
,
,
,
,
,
7.
10
,
,
,
,
,
,
,
,
,
8.
15
,
,
,
,
,
,
,
,
,
9.
11
,
,
,
,
,
,
,
,
,
10.
20
,
,
,
,
,
,
,
,
,
11.
16
,
,
,
,
,
,
,
,
,
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 59
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Multiples Whole numbers have common multiples. Let’s find them! Directions: List the multiples for each pair of numbers as needed to find the least common multiple. Circle the LCM. 1.
4 6
2.
8 12
3.
9 15
4.
15 20
5.
3 5
Directions: List the first 5 multiples of each number. 6.
30
7.
24
8.
25
9.
35
10. 13 Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 60
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Factors To find factors of a number, find numbers that divide evenly into the number. 8 = 4× 2
8 = 8 ×1
The factors of 8 are 1, 2, 4, 8.
Directions: Fill in the blank of the missing factor. a
b
c
1.
5 = 5×
6=2× 1×
20 = 4 × 2×
2.
27 = 9 × 27 ×
30 = 6 × 3× 30 × 2×
24 = 2 × 4× 8× 1×
3.
25 = 5 × 1×
21 = 7 × 21 ×
18 = 6 × 2× 18 ×
Directions: List the first 5 multiples of each number. 4.
15
5.
10
6.
12
7.
35
8.
64 Date
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
61
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Prime Factors Primes have only themselves and 1 as factors.You can express any number as the product of primes. 25 = 5 × 5 = 52
24 = 3 × 2 × 2 × 2 = 3 × 33
Directions: Express each number as the product of primes. Use exponents when possible. 1.
27
2.
28
3.
35
4.
36
5.
45
6.
47
7.
49
8.
56
9.
50
10.
64
11.
72
12.
81
13.
121
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 62
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Multiplication Facts Learn these facts by heart and become an expert!
Directions: Multiply. a
b
c
d
e
f
1.
5 ×3
2 ×2
3 ×2
8 ×7
5 ×9
8 ×8
2.
6 ×2
7 ×6
6 ×5
5 ×7
9 ×3
3 ×7
3.
7 ×7
3 ×8
9 ×2
8 ×9
4 ×6
5 ×5
4.
6 ×6
9 ×4
6 ×8
4 ×7
9 ×9
8 ×5
5.
7 ×9
8 ×2
7 ×0
6 ×9
2 ×7
5 ×2
6.
4 ×2
3 ×4
4 ×4
5 ×4
8 ×4
3 ×6
7.
7 ×10
10 ×8
11 ×1
3 ×3
10 ×5
6 ×10
8.
10 ×3
4 ×10
10 ×7
8 ×10
10 ×9
11 ×2
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 63
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Multiplication Facts Keep practicing the fast facts and multiplying will be a breeze!
Directions: Multiply. a
b
c
d
e
1.
2 ×2
9 ×10
5 ×6
2 ×12
4 ×5
2.
3 ×5
12 ×1
9 ×8
6 ×4
7 ×3
3.
4 ×3
8 ×3
5 ×10
2 ×4
3 ×9
4.
10 ×8
4 ×9
2 ×8
6 ×7
2 ×3
5.
2 ×5
9 ×5
7 ×4
2 ×9
9 ×6
6.
7 ×8
9 ×7
7 ×2
5 ×8
2 ×6
7.
11 ×3
7 ×5
6 ×0
8 ×10
2 ×8
8.
6 ×3
2 ×5
10 ×6
4 ×0
10 ×4
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 64
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply 2 Digits by 1 Digit Multiply the 1 digit number by the value in each place in the 2-digit number.
72 × 4 288
Directions: Multiply. a
b
c
d
e
f
1.
32 × 2
14 × 4
63 × 5
97 × 5
25 × 7
66 × 8
2.
21 × 3
77 × 0
83 × 9
11 × 4
57 × 6
74 × 1
3.
18 × 6
31 × 3
52 × 7
82 × 9
98 ×2
46 ×5
4.
45 ×8
25 × 4
31 ×6
18 ×3
29 ×6
33 × 8
5.
56 × 7
16 ×9
57 ×2
69 ×7
93 × 2
75 ×5
6.
67 ×9
64 ×8
40 ×3
82 ×7
14 ×4
34 × 4
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 65
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply 4 Digits by 1 Digit Use the same technique here! Directions: Multiply. a
b
c
d
e
1.
5261 × 9
3856 × 2
1772 × 7
2152 × 0
4213 × 3
2.
1324 × 5
2135 × 3
1237 × 1
1728 × 9
3529 × 2
3.
1270 × 4
2561 × 4
4260 × 3
3587 × 8
4096 × 4
4.
7302 × 8
2343 × 2
6294 × 6
8095 × 4
4151 × 2
5.
8018 × 7
6587 × 5
3026 × 9
3123 × 7
2516 × 5
6.
7155 × 8
4261 × 6
3650 × 6
2139 × 1
1548 × 5
7.
4231 × 1
3456 × 8
6613 × 7
3090 × 2
2175 × 3
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 66
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply 7 Digits by 1 Digit Let’s keep going with 7-Digits. Directions: Multiply. a
b
c
d
1.
3,162, 613 × 9
4,162,132 × 2
2, 561, 089 × 6
4, 257, 035 × 5
2.
3, 752, 914 × 6
3,162, 755 × 5
2,131, 321 × 7
4, 213, 783 × 8
3.
4, 832,116 × 4
2,195, 037 × 7
5, 632, 546 × 6
3, 493, 981 × 4
4.
3, 216, 211 × 4
1, 221, 312 × 8
8, 378, 545 × 7
7, 600, 557 × 9
5.
2,175, 243 × 6
1, 456,173 × 8
4, 682,134 × 5
9,146,135 × 1
6.
6, 613, 342 × 5
1, 827, 570 × 4
9, 332, 892 × 3
8, 290, 213 × 2
7.
4, 281, 300 × 9
4, 356, 732 × 3
2, 539, 421 × 7
5, 924, 665 × 3
8.
2, 841, 316 × 2
8, 453, 748 × 5
3, 567, 030 × 4
3, 703, 598 × 6
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 67
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply Decimals Count the total number of decimal places in the factors to place the decimal point in the product. 1
8.6 × 0.2 172 000 172 .
There are 2 decimal places in all. The decimal point in the product is placed 2 spaces from the right
Directions: Multiply. Place decimals in the correct places. a
b
c
d
e
1.
0.78 × 0.2
1 .2 × 0.3
2 .4 × 0. 1
6.525 × 2
0.68 × 7
2.
0.558 × 3
3.60 × 0.2
50.4 × 4
0.72 × 8
287.3 × 6
3.
0.0203 × 7
8.640 × 5
0.354 × 9
4.3 ×4
0.49 × 3
4.
0.46 × 8
6.3 ×7
1.09 × 4
4.8 ×2
5.2 ×7
5.
17.4 × 8
3.015 × 2
4.31 × 3
2.41 × 4
74.3 × 6
6.
7.6 ×4
8.2 ×5
3.44 × 8
72.1 × 6
61.4 × 9
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 68
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply 2 Digits by 2 Digits Multiply each bottom number by each of the top numbers from right to left. Then, add the products. 62 × 21 62 1240 1302
Directions: Multiply. a
b
c
d
e
f
1.
32 × 12
41 × 10
63 × 12
95 × 14
74 × 19
59 × 16
2.
28 × 15
16 × 54
62 × 70
84 × 60
73 × 90
37 × 40
3.
39 × 60
45 × 12
42 × 33
38 × 73
46 × 28
31 × 23
4.
47 × 17
54 × 26
37 × 41
42 × 13
27 × 42
36 × 27
5.
72 × 35
81 × 30
25 × 31
23 × 13
45 × 51
33 × 21
6.
82 × 18
32 × 44
12 × 42
14 × 66
61 × 30
44 × 31
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 69
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply 4 Digits by 2 Digits You can do this!
Directions: Multiply. a
b
c
d
e
f
1.
3126 × 42
4032 × 14
2134 × 71
8197 × 32
4640 × 60
4387 × 34
2.
5401 × 21
3697 × 75
1491 × 20
2158 × 38
3065 × 23
1961 × 12
3.
1974 × 21
1938 × 13
1232 × 11
2148 × 51
2374 × 97
3165 × 35
4.
1605 × 31
8308 × 40
9787 × 17
7382 × 22
6615 × 81
1990 × 13
5.
3375 × 17
5695 × 44
9831 × 32
4950 × 14
4475 × 10
6105 × 62
6.
4096 × 92
6734 × 99
2011 × 69
6144 × 15
3288 × 85
9566 × 57
7.
3761 × 47
1042 × 31
5213 × 16
7250 × 54
5309 × 95
1650 × 23
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 70
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply 7 Digits by 2 Digits Same procedures, bigger numbers! Directions: Multiply. a
b
c
d
1.
6, 064, 237 × 14
4, 998, 775 × 48
6, 750, 543 × 62
1, 031, 262 × 40
2.
3, 257, 465 × 25
8, 765, 418 × 36
6, 256, 050 × 97
3, 894,144 × 59
3.
4, 067, 059 × 50
2, 345, 621 × 19
4, 555, 081 × 36
7, 733, 659 × 21
4.
5, 370, 957 × 61
4, 242, 522 × 77
9, 808, 486 × 29
4, 943, 325 × 78
5.
4, 440,146 × 82
2, 538, 310 × 92
4, 332,149 × 71
6,142, 243 × 67
6.
1, 742, 594 × 73
6, 509, 006 × 81
1, 431, 298 × 16
2,140, 438 × 39
7.
1, 211, 435 × 21
1, 037, 459 × 60
1, 500, 397 × 28
6, 693, 826 × 19
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 71
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply Decimals Practice multiplying decimals by larger decimals.
Directions: Multiply. a
1.
9.45 × 3.5
2.
7.6 × 0.06
3.
b
3.06 × 4.2
c
d
e
8.25 × 0.3
5.95 × 0.35
3.9 × 7.3
1.4 × 2.9
7.25 × 4.3
2.21 × 8.9
4.9 × 1.3
44.3 × 0.1
3.45 × 8.3
6 .5 × 42.5
11.9 × 5.6
8.6 × 2.3
4.
14.35 × 2.8
2.8 × 12.2
1. 47 × 0.62
15.3 × 0.1
59.0 × 1 .1
5.
2.99 × 4.8
7.49 × 0.39
19.2 × 7.1
4.19 × 3
12.2 × 4.3
6.
3.32 × 14
8.72 × 6
37.3914 × 2.3
18.53 × 4.2
17.76 × 1 .4
7.
13.3741 × 29
67.2614 × 4.2
14.9233 × 54
216.461 × 62
493.4132 × 71
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 72
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Division Facts Practice those division skills!
Directions: Divide. a
b
c
d
e
f
)
8 16
)
9 27
)
9 18
)
12
)
2 8
)
8 0
)
5 20
1.
6 18
)
4 12
)
5 45
2.
7 21
)
6 36
)
2 14
)
5 40
3.
6 24
)
7 56
)
8 32
)
6 48
4.
8 40
)
3 9
)
2 8
)
3 12
)
3 3
)
8 8
5.
5 10
)
9 90
)
3 30
)
8 56
)
4 24
)
5 0
6.
9 72
)
4 36
)
14
)
18
)
9 9
)
2 22
7.
3 21
)
9 45
)
2 6
)
4 44
)
4 20
)
7 14
8.
3 24
)
6 42
)
7 28
)
3 30
)
7 42
)
7 70
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
) ) ) ) ) ) ) )
Date 73
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Practice Division Facts Wow! You’re a division wiz!
Directions: Divide. a
b
c
d
e
f
)
4 8
)
3 15
)
6 48
)
3 12
)
6 54
)
6 30
)
8 48
)
9 36
)
4 32
)
8 72
)
8 64
)
2 16
)
4 28
)
3 6
)
16
)
5 30
)
4 40
)
6 60
)
)
1.
5 35
2.
8 24
3.
2 18
)
7 63
4.
6 12
)
3 18
5.
9 63
)
2 12
)
2 20
5 15
)
2 10
)
9 99
6.
8 80
)
4 0
)
10 100
)
5 5
)
4 16
)
3 9
7.
3 27
)
5 50
)
12 0
)
7 35
)
9 0
)
7 49
8.
9 81
)
10 10
)
9 54
)
5 25
)
5 55
)
3 33
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
) ) ) ) ) ) )
Date 74
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide 2 Digits by 1 Digit Dividing 2 digits by one requires you to take it step by step.
Directions: Divide. a
b
c
d
)
2 64
)
4 68
)
3 27
)
8 40
)
2 10
)
)
9 63
)
8 96
)
4 72
)
3 81
)
5 85
)
4 92
)
6 72
)
4 52
)
7 91
)
7 84
)
6 72
)
8 56
)
9 81
)
7 35
3 15
)
3 21
)
3 87
)
5 60
)
2 24
1.
5 45
2.
5 40
3.
3 24
4.
9 54
5.
6.
2 74
7.
3 81
8.
3 36
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
e
)
6 48
)
)
2 10
4 12
)
6 36
)
5 75
)
5 90
)
4 48
)
3 39
)
2 26
) ) ) ) ) ) )
Date 75
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide 4 Digits by 1 Digit Great work! Keep it up with 4 digit divisors.
Directions: Divide. a
b
)
4 1104
)
7 2114
)
8 1720
)
3 1059
)
5 2245
)
8 1760
)
4 1256
)
3 8256
1.
2 1436
2.
4 3672
3.
4 9228
4.
5 6135
5.
6 1434
6.
7 7105
7.
3 1539
8.
5 3605
c
)
2 4632
)
3 6342
)
6 4764
)
7 5243
)
4 5216
)
2 6242
)
5 2565
)
4 4960
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
d
)
6 7206
)
)
5 1855
)
8 9952
)
1 7105
)
7 6328
)
6 1122
)
1 3976
)
3 6426
) )
)
) )
)
)
Date 76
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide with Remainders Not all quotients are whole numbers. Some have “leftovers” called remainders.
3 R1 9 28 27 1
)
Directions: Divide.Write the remainder next to the quotient. a
b
)
3 41
)
2 29
)
9 66
)
5 26
)
3 101
)
5 92
1.
4 53
2.
3 25
3.
8 55
4.
6 95
5.
2 39
6.
5 98
c
)
5 34
)
6 33
)
3 71
)
7 27
)
5 86
)
8 86
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
d
)
4 26
)
)
7 41
)
4 85
)
8 28
)
9 93
)
7 78
) ) ) ) )
Date 77
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide with Remainders You can now find quotients with remainders from larger numbers.
324 R 6 26 8430 78 63 52 110 104 6
)
Directions: Divide.Write the remainder next to the quotient if necessary. a
b
)
42 8956
)
54 1269
)
7 2117
1.
31 9875
2.
28 776
3.
35 1428
4.
3 6343
5.
3 379
c
42 6751
)
77 2613
63 9008
)
88 1100
)
3 1058
)
6 745
)
8 1924
5 1742
)
8 1719
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
)
)
)
d
) )
)
4 762
)
)
5 421
)
3 536
) )
Date 78
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide Decimals Align decimal point of the quotient above that of the dividend.
0.262 2 0.524
)
0.4 0.12 0 .12 04 4 0 Directions: Divide. a
b
)
3 0.459
)
7 0.875
)
5 6.25
)
4 1.02
)
4 3.316
1.
8 0.640
2.
2 0.468
3.
9 2.898
4.
2 0.822
5.
7 39.2
c
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
)
4 0.328
6 1.518
)
8 1.152
)
6 1.938
)
5 0.655
) )
1 0.541
)
3 2.079
)
9 20.7
Name
d
) ) )
)
8 50.4
)
)
5 25.2
)
Date 79
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide 2 Digits by 2 Digits You might recall some of these by memory. Others may be new to you.
Directions: Divide. a
b
c
d
e
1.
32 84
)
16 74
)
12 96
)
14 98
)
16 84
2.
13 78
)
20 80
)
15 95
)
18 72
)
12 84
3.
12 63
)
13 80
)
10 20
)
40 80
)
14 56
4.
17 68
)
14 75
)
27 91
)
45 90
)
15 60
5.
13 94
)
15 90
)
23 69
)
17 85
)
10 60
6.
19 95
)
24 48
)
13 65
)
11 88
)
18 72
7.
13 78
)
31 93
)
14 98
)
12 84
)
13 78
8.
21 63
)
23 92
)
27 81
)
32 64
)
30 90
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
) ) ) ) ) ) )
)
Date 80
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide 4 Digits by 2 Digits You’ll soon be a division expert!.
Directions: Divide.Write any remainder next to the quotient. a
b
c
d
e
1.
27 3564
)
52 2724
)
34 4284
)
26 6318
)
75 9150
2.
27 1430
)
75 3900
)
35 1960
)
25 8550
)
48 1704
3.
20 6020
)
54 1458
)
25 2075
)
42 1890
)
23 3844
4.
32 5280
)
12 2606
)
14 2184
)
26 3175
)
25 7500
5.
23 1732
)
23 5543
)
42 5176
)
75 6375
)
15 6009
6.
25 3525
)
60 1860
)
16 2616
)
22 6754
)
30 1800
7.
60 1200
)
50 8500
)
51 6426
)
48 2400
)
22 1430
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
) ) ) )
)
) )
Date 81
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide Decimals It’s an easy move to divide a decimal by a decimal.
)
2.5 305.5
=
122.2 25 3055.0 25 55 50 55 50 50
)
Directions: Divide. Show your work. a
b
c
d
1.
1031.36 ÷ 3.2
22.4 ÷ 5.6
54.12 ÷ 4.1
56.35 ÷ 2.3
2.
560 ÷ 6.4
114.7 ÷ 7.4
442.96 ÷ 9.8
314.64 ÷ 6.9
3.
758.28 ÷ 8.9
163.25 ÷ 2.5
419.24 ÷ 4.7
472.26 ÷ 10.2
4.
1213.38 ÷ 12.6
1642.5 ÷ 14.6
2484.36 ÷ 20.1
1109.25 ÷ 22.5
5.
3074.18 ÷ 32.6
3128.03 ÷ 74.3
4041.72 ÷ 43.6
7954.38 ÷ 82.6
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 82
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Check Multiplication and Division Learn how to check your own work!
8 6 48
)
➝
8 × 6 = 48
➝
4 ×6
4 6 24
)
➝
Directions: Divide.Then, write a multiplication sentence to check your work. a
c
b
1.
6 18
)
5 90
2.
7 35
)
3 24
3.
5 60
)
7 91
4.
4 52
)
2 74
)
)
3 81
)
6 72
)
2 26
)
9 54
) ) )
Directions: Multiply.Then, write a division sentence to check your work. a
b
c
d
5.
12 ×7
9 ×7
13 ×4
9 ×9
6.
13 × 3
90 × 5
12 × 3
5 ×6
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 83
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems Remember to look for clues that will help you solve these problems!
Directions: Solve. 1. Grandma has been sick, but with medicine, the doctor says she will get better. If she takes 5 pills, 3 times a day, how many pills does she take in one day?
2. If the ride at the amusement park has 5 cars, which hold 12 people each car, how many people can go on the ride at once?
3. Mr. Hubbard, the band director, wanted to buy kazoos for his band members. The school gave him $90 to buy the kazoos. If the kazoos were $5 each, how many kazoos could Mr. Hubbard buy?
4. Olivia is a good swimmer. She can swim 60 meters in one minute. How long will it take her to swim 180 meters?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 84
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems These problems will help you solve other practical real-life situations!
Directions: Solve. 1. Joshua needs to bake cookies for his school’s bake sale. He must cook 3 dozen chocolate chip cookies, 2 dozen chocolate chunk cookies, 2 dozen sugar cookies, and 3 dozen oatmeal cookies. How many cookies will Joshua cook in all?
2. Larissa and her friends string popcorn and cranberries to put on their holiday tree.They made 5 strings of popcorn and 5 strings of cranberries. Each string was four feet long. How long were the strings all together?
3. Ivan and his friends held a car wash Saturday to raise money for their school. They charged $4 per car. If they made $204, how many cars did they wash?
4. Keisha is making apple pies for the fall festival. Her recipe makes 11 pies, but she wants to make a total of 33 pies. How many times will she have to repeat her recipe in order to make the 33 total pies?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 85
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Multiplication and Division We’ve got to make you an expert at this. Let’s review.
Directions: Solve. a
)
b
c
)
1.
8 40
11 ×9
4 28
2.
9 ×8
7 ×7
9 72
3.
10 × 7
7 ×3
4.
4 44
5.
d
e
)
)
8 64
5 45
12 × 4
7 56
4 20
41 × 3
9 18
13 ×4
60 × 2
14 ×4
7 ×3
8 ×3
34 ×5
22 ×2
19 ×3
31 × 5
6.
50 × 3
25 × 5
11111
)
50 250
7.
13 260
16 ×5
18 216
)
24 192
)
)
) )
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
) )
)
52 × 6
)
)
8 248
Date 86
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Multiplication and Division Review some more, this time with larger numbers.
Directions: Solve. a
b
c
)
1.
451 × 4
5 445
2.
2281 × 7
12 1740
15 6975
3.
3122 × 14
1611 × 20
24 5136
4.
6462 × 30
3654 × 64
84 75, 516
5.
2568 × 42
4933 × 51
54 42, 390
6.
8913 × 454
12 8, 892
74 17, 390
7.
9254 × 253
81, 321 × 27
82 46, 248
332 × 6
)
)
)
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
)
9 504
1245 × 6
)
3113, 857
)
76 56, 392
)
21 9, 765
) )
Name
d
)
)
)
3451 × 163
)
29 6, 844
Date 87
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add Fractions with Like Denominators To find the sum of fractions with like denominators, just add the numerators.
5 1 6 + = =1 6 6 6
Directions: Add. Simplify if necessary. a
b
c
d
1.
1 2 + 3 3
2 3 + 4 4
8 2 + 8 8
5 2 + 9 9
2.
1 5 + 6 6
2 2 + 7 7
3 1 + 5 5
2 3 + 6 6
3.
5 2 + 8 8
4 5 + 9 9
3 1 + 7 7
2 5 + 10 10
4.
3 3 + 7 7
1 4 + 9 9
7 1 + 8 8
7 9 + 10 10
5.
6 1 + 8 8
2 2 + 9 9
7 11 + 12 12
4 9 + 6 6
6.
3 3 + 5 5
3 9 + 10 10
8 5 + 9 9
11 23 + 13 13
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 88
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Add Fractions with Unlike Denominators Here’s how to find the sum of fractions with unlike denominators. 14( ×2) 28 = 15( ×2) 30 12( ×3) 36 + = 10( ×3) 30 64 32 2 = =2 30 15 15
1) Find a common denominator. 2) Multiply the numerator by the factor it takes to get the denominator common. 3) Add numerators and place the sum over the common denominator. 4) Simplify.
Directions: Add. Simplify if necessary. a
b
c
d
1.
7 10 2 + 5
2 5 1 + 2
1 2 1 + 5
2 3 4 + 5
2.
1 2 7 + 8
7 8 1 + 2
1 4 2 + 3
5 6 3 + 5
3.
3 4 1 + 3
5 6 1 + 3
5 6 1 + 2
2 5 1 + 3
4.
2 3 3 + 4
3 4 1 + 8
5 12 1 + 4
3 5 1 + 4
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 89
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Subtract Fractions with Like Denominators Now, practice subtracting fractions!
9 3 6 3 − = = 10 10 10 5
Directions: Subtract. Simplify if necessary. a
b
c
1.
5 4 − 9 9
7 3 − 10 10
7 1 − 8 8
5 2 − 7 7
2.
4 2 − 5 5
6 4 − 7 7
7 4 − 15 15
11 2 − 12 12
3.
9 7 − 10 10
8 2 − 9 9
7 3 − 8 8
5 1 − 6 6
4.
11 3 − 12 12
9 3 − 10 10
5 2 − 9 9
6 4 − 7 7
5.
2 1 − 3 3
5 1 − 4 4
7 5 − 5 5
9 6 − 3 3
6.
8 1 − 9 9
9 7 − 10 10
12 7 − 8 8
9 4 − 7 7
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
d
Date 90
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Subtract Fractions with Unlike Denominators To subtract fractions with unlike denominators, start by finding a common denominator! 7 ( ×2) 14 = 5 ( ×2) 10 3 3 − = 10 10 11 1 =1 10 10
Directions: Subtract. Simplify if necessary. a
b
c
d
e
1.
8 9 1 − 3
5 6 7 − 12
5 6 2 − 5
9 10 1 − 2
7 12 1 − 4
2.
7 8 1 − 4
2 3 1 − 2
2 3 4 − 9
7 8 1 − 3
5 6 3 − 7
9 10 2 − 5
5 6 2 − 3
4 5 3 − 10
11 12 1 − 6
2 3 1 − 4
7 10 1 − 5
3 4 1 − 5
2 3 1 − 6
3 5 1 − 3
5 6 1 − 3
3.
4.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 91
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Multiplying Fractions When you multiply two fractions, you are finding “a fraction of a fraction.”
4 out of 5 parts are shaded
1 4 of = 3 5
4 5
1 4 4 × = 3 5 15
Directions: Use the pictures to complete. a
b
1.
1 3 of 3 7
3 7
1 1 of 3 2
1 2
1 3 × = 3 7
1 1 × = 3 2
2.
1 3 of 2 5
3 5
1 5 1 1 × = 2 5
1 3 × = 2 5
1 1 of 2 5
3. € 1 5 of 3 8
5 8
€
1 5 × = 3 8
2 5 × = 3 6
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
2 5 of 3 6
5 6
Date 92
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply Fractions Multiplying fractions is as easy as multiplying whole numbers.
7 × 3 21 = 8 × 4 32
Remember! Any whole number 14 14 = can be written as a fraction. 1
Directions: Multiply. Simplify if necessary. a
b
c
d
1.
3 4 × 7 5
4 3 × 7 8
3 1 × 5 3
3 7 × 10 9
2.
3 1 × 5 2
5 1 × 7 4
6 2 × 7 3
2 5 × 3 7
3.
5 6 × 9 10
3 2 × 5 5
1 7 × 4 8
9 5 × 10 6
4.
3 1 × 7 4
5 1 × 9 2
2 1 × 5 3
7 11 × 8 12
5.
7 2 × 8 5
1 7 × 4 8
4 5 × 7 6
5 15 × 12 25
6.
6 1 × 7 3
7 1 × 8 6
3 5 × 4 12
9 5 × 15 12
7.
3 1 × 4 5
2 3 × 5 7
3 2 × 8 9
8 3 × 9 8
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 93
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Multiply Mixed Numbers To multiply mixed numbers, simply write them as a fraction.
3 1 1 ×1 = = 5 6
8 7 42 × = 5 6 30
=
7 5
Directions: Multiply. Simplify if necessary. a
b
c
d
1.
3 3 1 ×1 8 7
3 3 1 ×3 5 4
3 1 1 ×1 5 6
1 1 1 ×3 6 2
2.
1 1 2 ×3 4 3
4 3 1 ×1 5 4
2 1 2 ×4 3 5
1 1 1 ×2 2 4
3.
2 1 3 ×8 7 4
1 1 1 ×3 8 3
1 1 2 ×2 2 3
1 1 2 ×1 4 5
4.
2 6 2 ×2 5 7
2 4 4 ×1 3 5
1 1 3 ×2 8 5
1 5 4 ×5 3 6
5.
1 1 5 ×2 5 4
4× 2
6.
1 1 7 ×2 2 4
1 1 9 ×6 5 3
1 1 2 ×2 3 7
2 1 3 ×2 5 4
7.
1 2 3 ×2 5 8
1 5 7 ×6 8 6
2 3 8 ×3 5 7
1 2 4 ×5 2 3
1 2
3× 3
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
1 3
1 5 ×6 4
Date 94
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Dividing Fractions Once you know how to multiply fractions, dividing is a snap! Just flip the divisor and multiply. 3 5 3 9 27 ÷ = × = 8 9 8 5 40 Directions: Write the reciprocal of each number. a
b
c
d
1.
8
2 4
5 6
1 9
2.
1 2
14
7 8
12
3.
3 4
1 4
1 24
3 5
Directions: Write the multiplication sentence that will solve each division problem. a
b
c
4.
5 1 ÷ 6 2
1 ÷5 3
3 1 ÷ 8 4
5.
3 1 ÷ 10 5
1 1 ÷ 4 3
2 1 ÷ 3 5
6.
1 1 ÷ 3 2
4 1 ÷ 5 4
1 2 ÷ 3 3
7.
3 4 ÷ 4 3
9 6 ÷ 10 1
3 5 ÷ 7 9
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 95
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide Fractions You can do this! Let’s practice dividing fractions.
Directions: Divide. Simplify if necessary. a
b
c
d
1.
3 6 ÷ 4 7
1 1 ÷ 9 6
1 1 ÷ 10 12
1 1 ÷ 6 4
2.
1 5 ÷ 6 8
3 1 ÷ 4 6
3 3 ÷ 7 8
5 3 ÷ 8 4
5 3 ÷ 6 10
1 5 ÷ 4 6
3 5 ÷ 10 12
3.
6÷
1 2
4.
2 2 ÷ 3 5
1 3 ÷ 4 5
2 1 ÷ 5 7
5 7 ÷ 8 8
5.
5 1 ÷ 6 3
3 4 ÷ 10 9
12 4 ÷ 1 5
2 2 ÷ 7 3
6.
4 2 ÷ 5 3
6÷
3 4
2 ÷5 5
3 7 ÷ 5 8
7.
8 5 ÷ 9 9
2 4 ÷ 5 5
1 1 ÷ 6 6
9 7 ÷ 10 8
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 96
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Divide Mixed Numbers You already know all the steps to dividing with mixed numbers.
1 15 15 15 2 2 7 1 ÷7 = ÷ = × = 8 2 8 2 8 15 8 2( ÷2) 1 = 8( ÷2) 4 Directions: Divide. Simplify if necessary. a
b
c
d
1.
1 1 6 ÷2 4 3
1 1 3 ÷5 3 2
1 1 3 ÷1 4 4
3 1 1 ÷2 5 2
2.
1 1 7 ÷2 2 4
1 1 4 ÷2 3 2
3 1 1 ÷5 4 2
1 4 2 ÷4 6 5
2
5 2 ÷1 12 3
1 3 5 ÷4 3 8
1 1 5 ÷3 4 3
6
4.
7 1 7 ÷8 8 4
4 5 6 ÷3 5 6
2 3 4 ÷3 3 4
1 3 2 ÷2 3 4
5.
5 5 1 ÷2 7 7
5÷ 2
4 1 ÷1 3 2
2 1 7 ÷ 5 4
6.
1 3 4 ÷2 5 5
3 7 4 ÷6 5 5
2 7 ÷ 12 5
7 1 1 ÷4 8 6
3.
2 3
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
3 1 ÷1 10 3
Date 97
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems You can solve these in a fraction of the time you would have taken before you learned about fractions! Directions: Solve. 1. Jose made a birthday cake for Madison. He used half a cup of sugar for every 3 and a half cups of flour. If he used 28 cups of flour, how many cups of sugar did he use?
2. Ming’s father has a cattle farm with a herd of 100 cows. It takes a third of an acre of pastureland to feed each cow. How many acres does it take to feed their entire herd?
3. It takes Angel 97 seconds to skate around the ice rink.The ice rink is a half mile around. How long does it take Angel to skate 2 miles?
4. Maria has a cookie recipe which makes 20 cookies and uses two-thirds cup of milk. If Maria only wants to make five cookies, how much milk will she need?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 98
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems Go on, read some more fraction stories! Directions: Solve. 1. Ling wants to become a better pitcher. She spends 10 hours a week practicing pitching, 7 hours a week running, and 3 hours per week weight training.What fraction of her time is spent on pitching practice?
2. Fourteen people, or about a third of the maximum number of people allowed, have already signed up for the golf tournament. How many more people can still sign up?
3. Brandon and Manuel leave Manhattan on a fifteen-minute ferry toward Liberty Island at 2:38 P.M. to visit the Statue of Liberty.They will spend oneand-one-fourth hours on the island.What time will they return to Manhattan?
4. At the Harry Potter convention, one-fourth of the people are students, one-fourth are teachers, and one-sixth are authors of other books for children and teens. The rest of the people are employees of the convention center. If there are 348 people at the convention, how many are employees of the center?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 99
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Fractions Let’s review what we’ve learned about fractions. Directions: Add, subtract, multiply, or divide. Simplify if necessary. a
b
c
d
1.
5 1 − 6 6
3 7 + 8 8
1 1 − 2 9
7 2 − 10 5
2.
5 1 + 8 8
5 1 + 8 6
4 1 − 9 9
5 3 − 6 4
3.
1 1 × 3 3
2 1 × 9 2
6 3 ÷ 7 4
3 ÷8 8
4.
5 3 + 6 5
2 4 + 5 5
4 1 × 5 2
3 4 ÷ 8 5
5.
2 3 + 3 4
9 4 − 10 10
7 1 − 12 4
5 1 ÷ 6 4
6.
3 3 − 4 5
7 1 + 8 3
2 1 × 3 4
3 1 + 4 3
7.
15 7 − 16 16
5 3 × 2 16
7 1 ÷ 8 3
2 4 + 9 9
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 100
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Fractions Keep practicing! Directions: Add, subtract, multiply, or divide. Simplify if necessary. a
b
c
d
1.
7 7 + 8 10
3 2 + 4 3
5 3 − 12 12
7 1 + 12 4
2.
5 2 − 8 8
7 7 + 12 8
11 2 + 12 8
1 1 + 9 2
3.
3 4 × 8 5
8×
5 3 ÷ 8 5
1 5 ÷ 8 6
4.
1 3 8 ×2 3 4
1 7 9 ÷2 4 8
4÷
5.
1 1 − 3 6
3 7 2 ×1 5 10
2 1 4 ÷3 3 3
3×
6.
2 1 + 3 4
7 2 − 8 5
1 1 + 8 2
1 1 4 ×6 6 4
7.
4 3 2 ×1 5 10
1 1 9 ×3 2 3
7 4 − 8 8
6÷
3 4
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
1 3
4 1 4 ×2 5 10
1 2
4 5
Date 101
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 102
Write Equations An equation is a number sentence with two equal sides.
The product of a number and 6 is 24: n x 6 = 24
Directions: Write the equations. Use n to stand for the missing number. a
b
1. Thirteen more than a number is 25:
The difference between 16 and a number is 10:
2. A number times 7 is 21:
48 divided by a number is 8:
3. 2 less than a number is 14:
4 less than twice a number is 8:
4. The product of 4 and a number is 32:
The sum of 64 and a number is 82:
5. 7 less than 14 + 4 is a number:
19 subtracted from a number is 20:
6. 9 more than a number divided
The sum of 15 and a number is the
by 2 is 15:
same as the product of 5 and 5:
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 102
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 103
Use Order of Operations There’s a proper order to solving equations.
1. Parentheses 2. Multiply, then divide from left to right 3. Add or subtract from left to right
4 + 4 ¥ (3 + 1) - 2 123 4 + 4{ ¥ 4- 2 412 +3 16 - 2 20 -32 12 18
Directions: Solve using order of operations. a
b
1. 7 - 3 ∏ 9
4 ¥ (9 ∏ 3) + 8
2. 4 ¥ 6 ∏ 2
28 + 21 ∏ 3 ¥ 8
3. 75 - 50 - 25
6¥ 8+ 4∏ 2
4. 81∏ 9 + 2 ¥ 3
7 + 35 ∏ 5 + 4
5. 8 + (4 - 2)
(9 ¥ 4 ) + 2 - 1
6. (9 - 1) + 7 ¥ 6
16 - (4 ¥ 4) + 8
7. 2 + (45 - 15) ∏ 5
90 + 5(6 ∏ 3)
8. 32 ∏ ( 4 ¥1) + 6
42 ∏ 6 + (9 ¥ 12)
9. 12 ∏ 6 + 10
19 - 4 + 45 ∏ 9
10. 40 - 13 + (6 ¥ 2)
61- 9(4 + 2)
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 103
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 104
Solve Equations with Parentheses To solve equations, work to get the unknown value on one side alone. Solve for n: (n+3) x 2 = 8 Divide both sides of the equations by 2: (n + 3) x 2 ÷ 2 = 8 ÷ 2 n+3=4 Subtract 3 from each side:
n+3–3=4–3 n=1
Directions: Solve for n. a
b
1.
(4 + 6)n = 30
9(6 + n) = 135
2.
Ê 9ˆ Á ˜ +1= 4 Ë n¯
Ê12ˆ Á ˜ + 4 = 10 Ën¯
3.
7 - (3 + n ) = 1
(n - 2 ) ¥ 3 = 30 4
4.
50 - 32 = n + 8
(4 - n ) ¥ (16 - 7) = 9 2
5.
Ê nˆ Á ˜ ¥ 19 = 114 Ë 2¯
(n + 136)(66 ¥ 4) = 36, 960
6.
80 + (n ¥ 6) = 164
Ê120ˆ Á ˜ (9 ∏ 3) = 90 Ë n ¯
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 104
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 105
Complete Function Charts Now you can complete equations with missing values.
y = 2x x y 0 0 1 1 3
When x is 0, y must be ___
When x is 1, y is
y = 2x y = 2 (0) y=0
y = 2x y = 2 (0) y=0
Directions: Complete the function charts by solving for y in each equation. a
b
c
1.
y = 2x + 3 x y 0 1 2 4 6
y = 2x + 5 x y 1 2 3 4 5
y = 4x – 3 x y 0 3 5 10 15
2.
y = 2x – 1 x y 0 1 3 4 5
y=x–3 x y 0 4 5 6 8
y = 10x + 2 x y 2 4 6 10 12
3.
y = 2x – 3 x y 0 3 5 6 7
y = 3x + 5 x y 0 1 5 7 10
y = 0.5x + 2 x y 1 2 4 6 8
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 105
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 106
Graph Functions Recall what you know about line graphs. Fill in the values and plot the points!
y = 2x + 1 x y 0 1 2 3
When x = 0 y = 2(0) + 1 y=1
When x = 2 y = 2(2) + 1 y=5
When x = 1 y = 2(1) + 1 y=3
When x = 3 y = 2(3) + 1 y=7
Directions: Complete the table for each equation. Graph any 3 ordered pairs. a
b
1.
y = 0.5x + 1 x y 0 2 4 6 8
y = 2x + 4 x y 0 1 2 3 4
2.
y = 4x – 4 x y 0 1 2 3 4
y = 3x + 1 x y 0 1 2 3 4
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 106
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 107
Review Equations Time to show off your skills! Directions: Write equations, using n to represent the missing number. a
b
1. 12 less than a number is 16:
100 subtracted from a number is 36:
2. The product of a number and 12 is 48:
The sum of 61 and a number is 121:
3. 6 less than twice a number is 18:
7 less than a number divided by 3 is 0:
Directions: Solve. Remember to use the proper order of operations. a
4.
16(3 ¥ 2)
5.
4+
6.
(64 +14 -19) ¥ 3
b
43 +
18 6
16 4
(22 + 3 - 1) 12 137 ¥ 2 + 17
Directions: Solve for n. a
b
7.
(21+ n ) =1 2
66n - 4 = 260
8.
(n - 82) + 7 = 15
27 + 19 = 28 n
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 107
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 108
Solve Word Problems Now you can use an equation to solve a word problem.
Directions: Write an equation for each problem using n to represent the missing number.Then figure out the value of n. 1. The temperature in Cancun, Mexico is 4 times higher than the temperature in Portland, Maine. If it’s 84 degrees Fahrenheit in Cancun, what is the temperature in Portland?
2. Filipe has driven 573 miles, but he still has a number of miles to go. If the total distance to his destination is 2,346 miles, how many miles does he have to go?
3. The 9 students in Miss Jacob’s reading group decided to buy her a gift at the end of the year. If each student contributed $15, how much did the gift cost?
4. Sandra picked a big bunch of dandelions for her mom and dad. She gave 18 to her mom and 14 to her dad. How many dandelions did she pick in all?
5. The elephant weighs 5 times as much as her baby. If the mother elephant weighs 4,125 kilograms, how much does her baby weigh?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 108
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 109
Understand Angles Angles are measured in degrees. Directions: Use a protractor to measure each angle. a
b
c
1.
2.
3.
4.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 109
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 110
Identify Types of Angles There are four basic types of angles.
right
obtuse
acute
straight
Directions: Name the type of angle. a
b
c
1.
2.
3.
4.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 110
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 111
Convert Customary Lengths Measure lengths in different ways!
1 ft = 12 in 1 yd = 36 in
1 yd = 3 ft
1 mi = 5,280 ft 1 mi = 1,760 yd
90 in = ? yd 90 in = 90 ÷ 36 90 in = 2.5 yd
3 mi = ? ft 3 mi = 5,280 x 3 3 mi = 15,840 ft
2.5 yd
)
36 90.0 72 18 0 18 0
Directions: Convert the lengths. 1. How many feet are in 9 yards? 2. How many inches are in 10 feet? 3. How many yards are in 3 miles? 4. How many inches are in 12 1/2 yards? 5. How many feet are in 7 miles? a
b
6. 8 yd =
ft
60 in =
7. 12 in =
ft
342 mi =
8. 21 ft =
yd
1/2 mile =
9. 8,800 yd =
mi
1/2 ft =
10. 15,840 ft =
mi
640 yd =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
ft ft yd in in
Date 111
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 112
Convert Metric Lengths Learn to convert lengths using the metric system, too.
1cm = 10mm 1m = 100cm
1m = 1,000mm 1km = 1,000m
30cm = 10 ¥ 30 = 300mm 4, 000m = 4, 000 ∏1, 000 = 4km
Directions: Convert. a
b
1. 40 cm =
mm
26m =
2. 276 m =
mm
96 km =
3. 210 m =
cm
370 cm =
m
9,422 m =
km
4. 6,256 mm =
m
5. 2,000 cm =
mm
10 m =
cm m
km
6. How many mm in 36 cm? 7. How many cm in 6.6 m? 8. How many m in 20 km? 9. How many mm in 3m? 10. How many cm in 42 m?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 112
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 113
Understand Perimeter The perimeter is the distance around a figure. 5 5
perimeter is 5 + 5 + 5 + 5 = 20
5 5
Directions: Write the perimeter equation for each shape or sentence. a
b
c
1.
P=
P= 2.
P=
All six sides of a polygon are of equal length (3 yd)
A triangle has sides of the following lengths: 6 cm, 9 cm, 14 cm
P=
P=
P=
Directions: Draw the shape with the following perimeters. a
3.
A square with a perimeter of 16
b
A parallelogram with a perimeter of 30
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
c
A triangle with sides of the following lengths: 1.5 m, 2 m, 5 m
Date 113
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 114
Find Perimeters To find the perimeter, add the lengths of all the sides.
20 +18 +16 = 54ft.
Directions: Find the perimeter. a
b
c
1.
2.
3.
4.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 114
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 115
Find Areas of Parallelograms The area is the number of square units needed to cover a figure.
A = base x height A = 10 x 3 = 30 sq ft
Directions: Find the area. a
b
c 20
1. 15
A=
12
A=
A=
2. 12
A=
A=
A=
Directions: Write the area formula for each figure. Complete the problem.Write the answer in the appropriate units. 3. Parallelogram has a 20 inch base and is 12 inches high.
A= =
x
= 4. Parallelogram is 8 meters high with a 14 meter base.
A= =
x
= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 115
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 116
Find Areas of Triangles The area of a triangle is found by multiplying 1/2 x base x height
Area =
1 ¥ 8 ¥ 6 = 24 2
Directions: Find the area. a
b
c
1.
A=
A=
A=
2.
A=
A=
A=
Directions: Write the area formula for each figure. Complete the problem.Write the answer in the appropriate units. 3. Triangle is 8 ft in height with a base of 12 feet.
A= =
x
= 4. Triangle is 10 inches in height with a 6 inch base.
A= =
x
= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 116
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 117
Understand Surface Area Surface area is the sum of the areas of all faces on a solid unit.
Area of: front = 5 ¥ 4 = 20 back = 5 ¥ 4 = 20 side 1 = 3 ¥ 4 = 12 side 2 = 3 ¥ 4 = 12 top = 5 ¥ 3 = 15 bottom = 5 ¥ 3 = 15 Total surface area of all faces = 94 square inches Directions: Write the equation for the surface area of each figure. a
1.
b
front = back = side 1 = side 2 = top = bottom =
front = back = side 1 = side 2 = top = bottom =
Directions: Draw and label a sketch of each figure. a
b
10 ¥ 2 10 ¥ 2 4¥ 2 10 ¥ 4 10 ¥ 4
2.
front = back = sides = top = bottom =
3.
length = 10 yds height = 20 yds width = 8 yds
front = back = sides = top = bottom =
length = 9 cm height = 90 mm width = 9 cm
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
10 ¥ 5 10 ¥ 5 4¥ 5 10 ¥ 4 10 ¥ 4
Date 117
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 118
Find Surface Areas Remember to account for all faces when finding the surface area.
Directions: Find the surface area. a
b
c
1.
4 in
10 in
6 in
SA =
SA =
SA =
2.
15 ft
20 in 10 ft 5 in 24 in
SA =
SA =
SA =
3. 4 cm
6 cm
SA =
SA =
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
SA =
Date 118
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 119
Understand Volume Volume is the total number of cubes needed to fill a space. It is measured by length x width x height.
length x width x height = 10 ¥ 4 ¥ 3 =
Directions: Write the equation for the surface area of each figure. a
b
c
1.
V=
x
x
V=
x
x
V=
x
x
Directions: Draw and label a sketch of each rectangular prism. a
b
2.
length: 15 m height: 5 m width: 2 m
height: 4 ft length: 6 in width: 3 ft
3.
width: 1 m height: 6 cm length: 8 cm
1 feet long 6 inches wide 4 inches high
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 119
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 120
Find Volumes Use what you know to find volumes of each figure.
Directions: Find the volume a
b
c
1.
2.
Directions: Count the cubes in each prism to find the volume. 3.
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 120
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Grade 5 Unit 5
7/20/06
10:27 AM
Page 121
Solve Word Problems Let’s see how well you can solve geometry word problems. Directions: Solve. 1. Ricardo has a garden which last year was in the shape of a rectangle measuring 49 meters long by 21 meters wide. This year, he increased the area of the garden by 546 square meters. He did not increase the width, but did increase the length. What is the length of the garden this summer?
2. Holly wants to store boxes in her basement. The dimensions of the basement are 12 feet by 7 feet by 7 feet. If the boxes are each 1 foot by 1 foot by 2 feet, what is the maximum number of boxes Holly can fit in her basement?
3. When it is 1 o’clock, what type of angle is the smallest angle formed by the minute and hour hands?
4. What is the perimeter of an octagon if all sides are 4 yards?
5. The area of a square is 49 square feet. If one side of the square measures 7 feet, what is the perimeter of the square?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 121
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 122
Solve Word Problems Looking good! Directions: Solve. 1. Find the perimeter of a quadrilateral if each side is 16 inches.
2. When it is 9 o’clock, what type of angle is the smallest angle formed by the minute and the hour hands?
3. Find the area of a triangle with a base of 16 in and a height of 4 in.
4. When it is 4 o’clock, what type of angle is the smallest angle formed by the minute and the hour hands?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 122
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 123
Review Geometry Time for a review. Directions: Convert. a
b
1. 40 cm =
mm
2. 70 mm =
m
3. 86,010 m =
6 ft =
mm
in
3 miles =
yd
17 feet =
yd
Directions: Name the angle. a
b
c
4.
5.
Directions: Find the perimeter. a
b
6.
19 cm 6 in
16 cm
12 in 14 cm
P=
P= Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 123
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 Unit 5
7/20/06
10:27 AM
Page 124
Review Geometry You’re almost there!
Directions: Find the missing values for a rectangular prism. a
b
1. length
c
length 7.42 cm
length 11 m
width 14 in
width 5.72 cm
width 10 m
height 11 in
height 4.75 cm
height
surface area
surface area
surface area
volume 2029.72 in3
volume
volume 220 m3
Directions: Find the area of each parallelogram or triangle. a
b
c 12 m
2.
6m 10 m
A=
A=
A=
Directions: Find the volume of each solid. a
b
c
3.
V=
V=
V=
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 124
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Averages An average of a set of numbers is found by adding the numbers and then dividing by how many numbers there are. Set of numbers: 16, 12, 13, 10, 11 Sum: 16 + 12 + 13 + 10 + 11 = 62 Average: 62 ÷ 5 = 12.4 Directions: Find the sum of the values listed.What number would you use to divide into the sum to find the average? 1. 42, 34, 61, 23, 53
SUM:
DIVISOR:
2. 2, 12, 16, 4, 8
SUM:
DIVISOR:
3. 21, 25, 22, 36
SUM:
DIVISOR:
4. 19, 19, 19, 19, 18
SUM:
DIVISOR:
Directions: Solve. 5. Mark hit 6 balls the first game, 2 balls the second game, and 10 balls the third game. What was his average number of hits?
6. The high temperatures this week were as follows: 74, 82, 93, 72, 81, 71, and 80. What was the average temperature for the week?
7. Betsy spends 2 hours per week doing homework. Carmen spends 10 hours per week doing homework. Tom spends 6 hours per week doing homework. What is the average amount of time among these 3 students spent doing homework?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 125
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Averages Now, you try!
Directions: Find the average for each set of numbers. 1. 12, 20, 36, 55 2. 6, 3, 8, 120, 273, 1 3. 1,722; 5,787; 702 4. 8, 2, 5 5. 16, 14 6. 0.250, 0.75, 0.125, 0.375 Directions: Solve. 7. If a baseball player comes to bat 1000 times and gets 350 hits, what is the player’s average?
8. Tom has 120 red balls, Pam has 130 yellow balls, and Aasia has 50 green balls. What is the average number of balls each person has?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 126
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Probability Probability is the ratio of favorable outcomes to all possible outcomes. The probability of spinning 2 is 1:6. P(2) = 1:6 The probability of spinning a number that is less than 3 is 2:6, or 1:3. P(n<3) = 1:3 The probability of spinning a number that is less than 7 is 6:6, or 1. P(<7) = 1 The probability of spinning a 7 is 0:6, or 0. P(7) = 0
Directions: Find the probabilities. Express them in the simplest form. 1. P(A) 2. P(D) 3. P(not A) 4. P(not C) 5. P(letters A or B) Directions: Write an event for the numbered cards in the hat. 6. P(
) is 1:4
7. P(
) is 1
8. P(
) is 0
9. P(
) is 1:2
13
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 127
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Probability Keep practicing! You’re doing great!
Directions: Find the probabilities. Express them in the simplest form.
1. P(green) P(purple or red) P(blue)
2. P(hexagon) P(circle) P(not a rectangle)
3. P(diamond) P(not a heart) P(club or spade) P(not a diamond)
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 128
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Odds Odds in favor of something happening are expressed as a ratio between favorable and unfavorable events. Odds against something happening are expressed as a ratio between unfavorable and favorable events. Directions: Think about a deck of playing cards to write these odds. 1. There are 26 red cards and 26 black cards in a deck.What are the odds of drawing a red card? 2. What are the odds against drawing a red card? 3. There are 4 queens in a deck. What are the odds of drawing a queen? 4. There are 13 cards of each suit in the deck.What are the odds of drawing a spade? 5. What are the odds against drawing a 10?
Directions: Solve. 6. The odds against rain today are 25%.What are the odds for rain? 7. The odds of choosing a piece of red jewelry in the pile are 16/30. How many pieces of red jewelry are there? 8. The odds against winning the raffle are 10:1. What are the odds in favor of winning? 9. 2 out of every 10 people make a hole in one at the golf course. What are the odds against making a hole in one?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 129
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Odds Figure these odds.
Odds against an event:
Odds in favor of an event: favorable outcomes unfavorable outcomes
unfavorable outcomes favorable outcomes
Directions: Determine the odds for each event. 1. What are the odds of spinning a 6? 2. What are the odds of spinning an odd number? 3. What are the odds of spinning a multiple of 2? 4. What are the odds of spinning a multiple of 3? 5. What are the odds against spinning a 5? 6. What are the odds against spinning an even number? 7. What are the odds against spinning a 7 or a 6? 8. What are the odds of spinning a number less than 5? Directions: Give the odds for each situation. Express odds as the simplest ratio. 9. There is an 80% chance of rain in the forecast. What are the odds against rain? 10. For every 10 attempts at making a basket,Todd makes 8. What are the odds that Todd makes a basket? 11. 4 out of every 100 people win the lottery. What are the odds against winning? Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 130
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Understand Mean, Median, and Mode There are three ways of expressing an average of a group of numbers.
7, 3, 5, 9, 5 The mean is the arithmetic average: 7+3+5+9+5 = 29 29÷5 = 5.8 The median middle number when numbers are sorted in numerical order: 3, 5, 5, 7, 9. Median = 5 The mode is the number occurring the most frequently. Mode = 5 Directions: List whether the number is the mean, median, or mode. [Hint: Sometimes, a number can be more than one of these!] 1.
2, 3, 12, 24, 19: 12 is the
2.
16, 14, 16, 15, 9: 16 is the
3.
5, 6, 6, 4, 4: 5 is the
4.
12, 14, 17, 17, 15: 15 is the
5.
15, 20, 25, 25, 40: 25 is the
6.
13, 16, 13, 19, 20: 13 is the
7.
80, 75, 90, 80, 55, 70, 95: 80 is the
8.
45, 39, 200, 45, 42, 20, 33: 45 is the
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 131
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Find Mean, Median, and Mode Here’s your chance to show what you know about these measures of “central tendency.” Directions: Find the mean of each set of numbers. a
b
1.
13, 11, 12, 10, 7
10, 9, 8, 11, 7
2.
8, 13, 13, 6, 5
30,34, 23
3.
44, 51, 37
19, 23, 48, 50
Directions: Find the median of each set of numbers. a
b
4.
5, 15, 25, 45, 90
16, 18, 23, 25, 29
5.
26, 28, 29, 31, 42, 37, 71
2, 6, 7, 9, 12
6.
12, 13, 9, 6, 4
105, 199, 149, 289, 469
Directions: Find the mode of each set of numbers. 7.
14, 7, 27, 14, 13, 4, 7, 12, 14
8.
8, 22, 33, 8, 22, 16, 32, 22, 78
9.
74, 36, 6, 12, 36, 14, 74, 4, 36
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 132
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems These word problems discuss probabilities!
Directions: Solve. 1. Ashley is playing a game where there is a coin hidden under one of 3 cups and she has to try to guess which cup it is under.What is the probability she will guess correctly on the first try?
2. Vanessa thinks of a whole number between 1 and 24. She asks her aunt to guess what number she is thinking of.What is the probability that Vanessa’s aunt will correctly guess what number she is thinking of?
3. Tani rolls a die 155 times and gets these results: A “1” twenty-eight times, a “2” twenty times, a “3” fifteen times, a “4” thirty-one times, a “5” thirty-two times, and a “6” twenty-nine times.What is the probability she will get a “6” on the next roll?
4. Damita bought candy at the store.There are 5 blue pieces, 2 red ones, 3 purple ones, 11 green ones, and five orange ones.What is the probability that the first piece of candy she pulls out of the bag will not be green?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 133
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Solve Word Problems You’re on a roll!
Directions: Solve. 1. What is the probability of randomly pulling a red card from a standard deck of 52 playing cards?
2. Anthony rolls a die with different colors on each of its fourteen sides.What is the probability that he will roll either a red or yellow on his first roll?
3. Ethan has taken 32 math quizzes this year. Of those, he scored 90% on 5 of them and 80% or above on 10 of them.What is the probability that he will score between 80% and 90% on his next quiz?
4. Caleb saw a snake in his backyard on 10 different days during the last 30. What is the probability Caleb will find a snake in his backyard on any particular day?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 134
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Mean, Median, and Mode Let’s do some review.
Directions: Find the average of each set of numbers. a
1.
5, 8, 2, 1
b
c
16, 2, 25, 7
14, 30, 12, 19
Directions: Find the mean, median, and mode for each set of numbers. 2. 12, 13, 7, 10, 9, 12, 11 Mean
Median
3. 40, 42, 78, 60, 73, 66, 40 Mean
Mode
Median
4. 162, 115, 103, 121, 188, 128, 121 Mean 5. 26, 32, 84, 55, 20, 32, 52 Mean
Mode Median
Median
Mode Mode
Directions: Solve. 6. Jordan, Sydney, and Mia played a game of ping pong.Their scores were 20, 16, and 18.What is the mean.What is the median?
7. Jessica, Devin, and Yanmei played a game, too.Their scores were 15,12, and 15.What is the median? What is the mode?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 135
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Review Probability You’re getting the hang of it!
Directions: Find the probability. A jar contains 19 black, 22 pink, 21 purple, 17 navy, 20 green, and 15 orange marbles. 1. What is the probability of drawing a black marble? 2. What is the probability of drawing a marble that is NOT navy? 3. What is the probability of drawing a marble that is orange or navy? 4. What is the probability of drawing a marble that is NOT pink? 5. What is the probability of drawing a marble that is white? Directions: Find the odds. 6. What are the odds of drawing a black marble? 7. What are the odds of drawing a marble that is NOT navy? 8. What are the odds of drawing a marble that is orange or pink? 9. What are the odds against drawing a purple marble? 10. What are the odds against drawing a pink or purple marble?
Name Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
Date 136
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
7/20/06
10:14 AM
Page 137
Scope and Sequence
Students
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
137
num ber sen se add pp. itio 6na 34 n ds mu ubt ltip r act lica ion tio na op pp. era nd 35 tio d -5 i v ns isio 8 wit equ n p h p. 5 atio fra 9ctio ns 87 pp. ns geo pp. 102 me 8 -1 8try 08 101 and dat me aa asu nal rem ysi sa ent nd pro pp. bab 109 ility -1 24 pp. 125 -1 36
Grade 5 BM
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Grade 5 BM
7/20/06
10:14 AM
Page 138
Answer Key PAGE
6
1. 5,274,510,935 2. 5,000,000,000+200,000,000+ 70,000,000+4,000,000+500,000+ 10,000+900+30+5 3. 5 billion, 274 million, 510 thousand, 935 4. 400,024 9,062 5. 61,400 84,054,000 6. 64,215 403,942 7. 451,000 200,670,000 8. 962,232,000 56,000 PAGE
1. 2. 3. 4. 5.
PAGE
1. 2. 3. 4. 5.
13 11 39 48 44
PAGE
1. 2. 3. 4. 5.
7
+10 -14 +7 -12 +233
4 40 36 16 -8
PAGE
-5 +12 -1 -9 +9,800
6. 7. 8. 9. 10.
+$20 +5,000 -5 -15 -104
-$1,754 -47 +256 -63 0
8
PAGE
11 3 3 -1 0
-4 -11 -20 -13 -4
6. 7. 8. 9.
-10 57 3 -4
39 68 -1 -5
-32 -10 -7 -7
6. 7. 8. 9. 10.
2 27 48 4 73
-21 -71 -120 5 -6
1 -4 -15 20
9 -3 123 -16 47 -11
2 -33 18 -68 5
-20 -42 -118 16 6
10
11
1. four fifths 2. three fourths 3. seven tenths 4. two thirds 5. 1 1/2 6. 1 3/4 PAGE
12
1. 2 2. 2 3. 3
6 20 14
PAGE
13
20 30 24
5/9 1/5 4/7 5/5 2 3 2/5
one eighth eleven fourths nine thirds eight fifths 2 1/6 2
4. 9 20 27 5. 3/10 7/10 6. 3/4 4/5
1. five tenths, 0.5 eight fifths, 1.6 2. seven tenths, 0.7 one half, 0.5 3. forty-two hundredths, 0.42 three fourths, 0.75 Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
14
1. 2. 3. 4. 5. 6. 7. 8. 9.
> < < > < > > > < < 215; 248; 322; 341 2,612; 6,241; 6,738; 6,741 712,411; 721,116; 732,118; 763,818 1,341,716; 1,432,564; 1,477,405; 2,642,149 10. 56,411; 56,416; 65,114; 65,141 PAGE
11 21 73 -21 51
1. 0.5 6.6 2. 0.92 52.9 3. 7.2 4.32 4. 300.4 200.3 5. 0.621 0.053 6. five tenths fifty-two and nine tenths 7. forty-six hundredths fifty-three and eight tenths 8. tenths ones 9. hundredths hundreds 10. thousandths thousandths 11. ones tenths 12. tens thousands PAGE
4. seventeen thousandths, 0.017 three halves, 1.5 5. 3/10 3/4 2 2/5 6. 1/2 43/100 1 1/5 7. 4/5 1/2 4 3/10 8. 6/25 3/8 7 3/5
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
PAGE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
1. 2. 3. 4. 5.
20
PAGE
1. 2. 3. 4. 5.
(1,1) (4,7) (9,7) (4,0) (10,10)
6. 7. 8. 9. 10.
D A B J G
C H I F E
(-5,4) (-1,-4) (-2,5) (-3,-1) (0,0)
6. 7. 8. 9. 10.
G B I J H
F A C D E
21
PAGE
1. 2. 3. 4. 5.
(0,0) (6,9) (0,7) (8,5) (3,8)
(2,3) (1,1) (5,4) (-1,2) (5,-1)
22
PAGE
•E •C
60 110 880 700 470 5,900 2,000 2,000 7,100 2,300 4,000 28,000 427,000
40 40 220 80 770 440 90 1,430 320 2,650 500 800 500 300 600 300 200 900 1,000 300 12,000 65,000 7,248,000
17
0.461, 0.46, 0.5 1.278, 1.28, 1.3 4.351, 4.35, 4.4 19.788, 19.79, 19.8 27.643, 27.64, 27.6 91.1 98.8421 994.13 741.453 8.495 37.192 367.9 745.3 365.6388 69.68
PAGE
1. 250 2. Tuesday 3. Monday,Tuesday,Wednesday, and Thursday 4. Saturday and Monday 5. Sunday and Monday;Tuesday and Wednesday 6. Monday and Tuesday;Wednesday and Saturday 7. the day, Monday, and the number of attendees, 100 8. the day, Saturday, and the number of attendees, 400
16
20 110 980 710 960 6,700 4,500 400 8,500 9,300 7,000 17,000 725,000
PAGE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
15
> > > > < > > > > = 0.31; 0.32; 0.362; 3.02 0.275; 5.26; 5.27; 5.73 8.99; 9.06; 9.114; 9.6 2.624; 2.742; 3.451; 3.541 8.08; 8.10; 8.21; 8.8
19
PAGE
•I •C
•H
138
•D •B
•G
•E •B
PAGE
1. 2. 3. 4. 5. 6.
•J
•F
•F
•H
23
0.2, 20/100, 20% 0.37, 37/100, 37% 0.77, 77/100, 77% 0.57, 57/100, 57% 0.29, 29/100, 29% 0.02, 2/100, 2% 8.
9.
60.8 9.0 92.15 17 700 PAGE
6. 7. 8. 9.
•I
•A
•J
•D
7.
18
Jose 10 Katie Akira, Katie 75
•A •G
5 orange juice 45% water
1. 2. 3. 4. 5.
24
2.5 1 1 10 80
1.4 1.2 18 60 120
6. 7. 8. 9. 10.
60 5 40 20 10
120 3 14 48 63
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Grade 5 BM
7/20/06
PAGE
1. 2. 3. 4. 5.
1. 2. 3. 4. 5.
PAGE
10% 5% 20% 100% 0.1%
1. 2. 3. 4. 5. 6. 7.
90% 6. 50% 7. 92% 8. 55% 9. 46% 10.
28 3/10, 30% 51/50, 10.2% 3/5, 60% 16 1/4, 1625% 200 1/5, 20,020% 0.06 0.18 0.25 0.17 0.4 0.64 0.34 0.8 0.5 0.49
29
8. 5 9. 6 10. 3 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.
250% 420% 20% 12% 10% 30% 9% 20% 140% 20% 70% 960% 91% 990% 12%
30
4 10,000 27 1,024 125 81 64 34,300 53 141 42 x 102
100,000 144 100 64 2,187 216 6 1,144 32 x 102 32 x 52 x 62 22 x 7
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
PAGE
32
1. 2003: Pridi,Vertu, Eilosa, Dedrum; 2005: Pridi,Vertu, Eilosa, Dedrum 2. 2005 3. 71.4% 4. 50% 5. 20/100 = 1/5 6. 0.15 PAGE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
33
6,000,000 + 400,000 47,672 +20 -43 +534 -16 0.16 2900.5 6/7 57/100 70/100 130/100 five eighths 59/9 623/100 0.48 240/100 1.16 232/100 2.6 6 5/8 510 61 143
PAGE
35
Answers may vary. 1. 8+1=9, 9–1=8 15+5=20, 20–5=15 40+24=64, 64–24=40 2. 11+5=16, 16–5=11 17+15=32, 32–15=17 51+27=78, 78–51=27 3. 9+7=16, 16–9=7 12+13=25, 25–13=12 23+63=86, 86–63=23 4. 7+12=19, 19–12=7 21+6=27, 27–6=21 52+45=97, 97–45=52 5. 8+5=13, 13–5=8 20+21=41, 41–20=21 66+35=101, 101–35=66 6. 7+8=15, 15–8=7 13+40=53, 53–13=40 96+54=150, 150–96=54
139
36
1. 4 + 12 = 16, commutative 2. 14 + 20 = 34, commutative 3. 120 + 50 = 170, commutative 4. 100 + 0 = 100, zero 5. 150 + 0 = 150, zero 6. 26 + (6 + 7) = 39, associative 7. 20 + 0 = 20, zero 8. 25 + 52 = 77, commutative 9. 620 + 260 = 880, commutative 10. (17 + 87) + 42 = 146, associative 11. (63 + 27) + 15 = 105, associative PAGE
1. 2. 3. 4. 5. 6.
10 10 9 11 9 7
PAGE
1. 2. 3. 4. 5. 6. 1. 2. 3. 4. 5. 6. 7.
9 12 12 16 8 5 16 17 22 26 25 23
8 7 10 9 10 8
27 25 19 22 24 25
1. 2. 3. 4. 5. 6.
13 9 12 7 15 5
13 19 17 14 3 16 12 12 20 17 11 14
20 21 22 23 28 28
7. 8. 9. 10. 11. 12.
18 15 15 20 20 12
16 22 21 20 18 19
20 16 23 27 20 24
24 43 23 30 31 27
85 80 90 37 104 57 125
75 42 115 98 97 125 99
33 74 98 85 68 81 138
24 102 93 104 105 96 154
86 108 113 169 79 80 167
1993 2070 7533 3815 9747 5170 4989
1716 1723 6588 4372 3156 7478 8336
1581 1817 4770 1630 4534 5935 9643
1223 1510 6453 4999 4532 6660 5336
1387 1170 4320 8825 10195 6141 3245
40
41
1. 5,469,071 2,793,166 2. 8,276,766 14,008,916 3. 13,161,725 14,013,656 4. 7,120,065 9,762,691 5. 12,656,634 12,108,231 6. 12,385,183 16,412,809 PAGE
8 7. 6 12 14 8. 7 8 9 9. 11 8 11 10. 13 14 15 11. 8 10 18 12. 6 13
39
1770 1638 3178 8657 6061 9776 10486
PAGE
14 11 11 10 10 6
38
120 58 102 125 83 110 61
PAGE
1. 2. 3. 4. 5. 6. 7.
37
16 14 12 15 17 16
PAGE
34
1. 204; 224; 242 7/100; 7/10; 77/100 2. 163; 361; 631 1/8; 1/7; 1/3 3. 2,479; 2,794; 2,947 45/1000; 0.45; 45/10 4. 0.43; 0.334; 0.434 0.006; 0.16; 6/10 5. 10.07; 10.071; 10.7 2 5/6; 47/10; 23.47 6. -3 7. 0.1 8. 8,000 9. 7 10. hundredths PAGE
63 36 84 54 12x12x12 4th power 2nd power (squared) 3rd power (cubed) 1 0
31
1. 6.1 cm 2. Nicklin 3. C 4. Pedro and Rosalyn 5. 14 students PAGE
1x1 7x7x7 16x16x16x16 20x20x20x20x20 3x3x3x3 2 3rd power (cubed)
PAGE
62.5 6.75 50% 10% 30%
0.63, 63/100 0.16, 4/25 1.25, 1 1/4 0.46, 23/50 2.0, 2/1 1/25, 4% 1/8, 12.5% 423/1000, 42.3% 1 6/25, 124% 2 39/50, 278%
1. 6 7/20, 63.5% 2. 819/1000, 81.9% 3. 3 69/100, 369% 4. 23 1/2, 2350% 5. 100 3/4, 10,075% 6. 3/50, 6%, 7. 9/50, 18%, 8. 1/4, 25%, 9. 17/100, 17%, 10. 2/5, 40%, 11. 16/25, 64%, 12. 17/50, 34%, 13. 4/5, 80%, 14. 1/2, 50%, 15. 49/100, 49%, PAGE
1.28 60 45 40 5%
27
53% 50% 49% 25% 75% 75% 83% 60% 138% 40%
PAGE
6. 7. 8. 9. 10.
26
0.25, 1/4 0.07, 7/100 0.67, 67/100 0.92, 23/25 1.5, 1 1/2 51/100, 51% 18/25, 72% 3/10, 30% 3/50, 6% 3/20, 15%
PAGE
Page 139
25
12.5% 600% 10% 20% 25%
PAGE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
10:14 AM
15,308,687 1,765,591 6,499,313
10,989,870
12,510,837 8,688,492 11,146,049 11,048,220 15,036,438 11,299,312 9,837,795
11,670,123
42
7.14 12.12 6.493 2.935 38.69 1.3222
21.43 19.15 0.562 8.4559 42.22 9.52
5.484 16.081 112.983 767.215 2.41271 68.15
18.553 10.389 107.486 7591.66 110.163 72.801
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 BM
7/20/06
10:14 AM
Page 140
Answer Key PAGE
43
PAGE
1. 106 837 145,310 2. 66 763 8,144,151 3. 1084 977 1,511,691 4. 852 1170 3,130,613 5. 1603 1149 325,247 6. 9514 7174 4,077,617 7. 6038 1426 93,785 8. 13,380 718 6,121,737 PAGE
124,494
28,268
99,213
99,647
109,458
56,157
76,795
79,171
73,635
85,487
8,312,896
28,764
46,414
78,645
3733.10
110.356
1,051.46
820.4402 1,330.32 97,741.51 692.19 689.58
1,227.33
1,168.54
426.3543
864.46
410.8917
403.2911 751.517 473.12
895.65
45
1. 49,878 68,398 14,684 80,028 63,048 2. 91,388 35,021 73,352 57,882 70,137 3. 150,447 100,438 113,072 160,579 28,172 4. 61,423 12,954,681 11,590,760 13,440,569 5. 868,864,258 1,438,338,742 526,765,202 9,494,215 2,016,305 PAGE
1. 2. 3. 4. 5. 6.
1 0 3 4 8 3
PAGE
1. 2. 3. 4. 5. 6.
4 5 8 6 9 2
46 1 7 7 6 0 4
2 4 5 7 1 9
2 8 5 5 9 3
7. 8. 9. 10. 11. 12.
2 4 5 4 5 8
4 2 3 6 7 8
8 3 11 10 17 9
8 9 6 5 13 8
47 15 15 16 2 23 22
9 7 45 47 68 25
43 2 19 47 54 64
1. 2. 3. 4.
20 12 25 17
PAGE
44
1. 5.154 2.003 14,694.044 2. 99.606 47.12 1,297.403 3. 103.031 4.988 2,031.797 4. 139.165 9.25 148.1524 5. 55.032 317.63 4,547.7224 6. 95.40 135.05 506.43 7. 164.46 310.84 15,020.9704 8. 382.21 60.9 71.675222 PAGE
7905
7. 8. 9. 10. 11.
7 7 3 8 5
30 33 15 56 76
17 10 26 36 53
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
44 55 59 88 82
1. 2. 3. 4. 5. 6. 7.
48 26 51 68 52
2629 1226 2657 5836 1496 2593 412
3456 1045 855 6386 2158 862 6107
1001 1348 526 2636 2467 755 5264
3899 1073 5033 2535 1254 1868 4200
95,169
5,142,206
421,508
8,911,011
154,103
6,510,425
546,771
4,423,083
203,628
1,794,888
8,372
2,266,117
471,823
3,065,169
295,375
7,425,966
17.06
86.92
0.106
16.36
3.26
90.2
44.22
24.163
4.4
7.45
40.651
0.11
62.25
59.054
7.71
8.14
1.7532
17.3
54.86
0.519
3.14
44.83
40.2678 84.7
PAGE
1. 2. 3. 4. 5. 6.
228
142,677
90
165
236,642
192
1,847
104,700
220
74,405
540,335
221
67,343
480,462
33
78,705
406,991
4,590 19,114
9,402,319
8,491 6,920
3,063,712
54
79 88 104 51 26 69
PAGE
214
164 78 125 15 16 15
238 895 1,477 190 411 80
1,211 1,104 1,332 345 111 256
55
1. 19 letters 2. 1,094 feet PAGE
57 163 248 497 713 264
3. 306 squares 4. 150 pants
56
6,643 79,014 4,495,514 3,935 71,181 2,262,573 4,726 21,739 461,426 35 35,524 837,158 3,994 25,094 3,038,025 1,129 27,417 35.2 516 58,052 63.995 6,762 29,833
140
PAGE
57
1. 650 755 319 2. 557 498 4,565 3. 1,690 5,740 1,662 4. 101 90 2,275 5. 7,732 68,484 5,283,325 6. 3 feet 7. 28 socks PAGE
PAGE
12,882
1. 2. 3. 4. 5. 6.
613
505
427
1,353
694
7,456
4,436
41,132 1,559
14,895 16,814 1,990 158,961 1,196 10,391
58
1. 940 750 901 2. 520 337 102 3. 8,746 971 9,263 4. 176 98 13,891,486 5. 10,139 20,252 1,744 6. 256 kites 7. 708 yards
52
1. 63 307 261,301 2. 44 27 573,820 3. 13 445 740,122 4. 61 39 181,090 5. 53 407 340,191 6. 39 121 546,734 7. 6 337 422,424 8. 49 558 33,732
53
1. 8 697 15.4 2. 4 696 0.2 3. 9 85 32.15 4. 47 886 23.26 5. 44 373 2.202 6. 41 370 71.943 7. 9 537 76.0 8. 42 433 26.067
1. 3,960 tickets 3. 15 objects 2. 4 candy bars 4. 17 blocks
51
1. 0.8 17.2 66.22 2. 4.2 56.4 56.3 3. 1.3 70.8 1.327 4. 35.4 12.9 22.556 5. 1.2 85.8 4.236 6. 11.1 6.6 38.055 7. 87.5 51.8 6.808 8. 47.8 3.69 3.197 PAGE
5. 18 18 9 35 6. 18 44 69 45 7. 12 15 49 61
50
1. 468,999 6,095,789 2. 100,964 2,547,485 3. 635,337 6,100,428 4. 57,876 1,026,773 5. 289,251 97,545 6. 633,917 406,359 7. 818,084 3,426,720 8. 225,023 1,155,838 PAGE
5 26 17 14
49
1873 7680 4546 9086 108 1554 3710
PAGE
PAGE
34 8 35 22
307
209
1,009
468
516
1613
7,791
2,143 9,506
2,990 143,152 6,467,919 10,659 435 6,847
59
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, 64, 72, 80 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 BM
7/20/06
10:14 AM
Page 141
7. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 8. 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 9. 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 10. 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 11. 16, 32, 48, 64, 80, 96, 112, 128, 144, 160 PAGE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
60
4: 4, 8, 12; 6: 6, 12 8: 8, 16, 24; 12: 12, 24 9: 9, 18, 27, 36, 45; 15: 15, 30, 45 15: 15, 30, 45, 60; 20: 20, 40, 60 3: 3, 6, 9, 12, 15; 5: 5, 10, 15 30, 60, 90, 120, 180 24, 48, 72, 96, 120 25, 50, 75, 100, 125 35, 70, 105, 140, 175 13, 26, 39, 52, 65
PAGE
61
1. 5 x 1 2 x 3, 1 x 6 4 x 5, 2 x 10 2. 9 x 3, 27 x 1 6 x 5, 3 x 10, 30 x 1, 2 x 15 2 x 12, 4 x 6, 8 x 3, 1 x 24 3. 5 x 5, 1 x 25 7 x 3, 21 x 1 6 x 3, 2 x 9, 18 x 1 4. 15, 30, 45, 60, 75 5. 10, 20, 30, 40, 50 6. 12, 24, 36, 48, 60 7. 35, 70, 105, 140, 175 8. 64, 128, 192, 256, 320 PAGE
1. 2. 3. 4. 5. 6.
33 7 x 22 7x5 32 x 22 32 x 5 1 x 47
PAGE
1. 2. 3. 4. 5. 6. 7. 8.
1. 2. 3. 4. 5. 6.
4 42 24 36 16 12 80 40
72 7 x 23 2 x 52 26 23 x 32 34 112
6 30 18 48 0 16 11 70
56 35 72 28 54 20 9 80
45 27 24 81 14 32 50 90
90 12 24 36 45 63 35 10
30 72 50 16 28 14 0 60
24 24 8 42 18 40 80 0
20 21 27 6 54 12 16 40
28 0 93 100 144 512
315 747 364 186 114 120
485 44 738 54 483 574
175 342 196 174 185 56
PAGE
64 21 25 40 10 18 60 22
PAGE
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
12,404
0
6,405
1,237
15,552
10,244 12,780
28,696
4,685
37,764
32,380
32,935 27,234
21,861
25,566 21,900
2,139
27,648 46,291
6,180
67 8,324,064 21,285,175 15,813,175 33,710,264 15,365,259 13,975,924 9,770,496 68,405,013 11,649,384 9,146,135 7,310,280 16,580,426 13,070,196 17,773,995 42,268,740 22,221,588
0.36 0.24 13.05 0.720 201.6 5.76
4.76
43.2 44.1 6.03 41
1.47 36.4 445.8 552.6
3.186 4.36 12.93 27.52
17.2 9.6 9.64 432.6
PAGE
410
756
1,330 1,406
864
4,340
5,040 6,570
540
1,386
2,774 1,288
1,404 1,517
546
1,134
2,430 775
299
2,295
1,408 504
924
1,830
70
141
151,514 262,304 29,820
82,004
15,552
109,548
166,379 162,404
71
1. 2. 3. 4. 5. 6. 7. 8.
3 3 4 5 2 8 7 8
PAGE
1. 2. 3. 4. 5. 6. 7. 8.
7 3 9 2 7 10 9 9
1. 2. 3. 4. 5. 6. 7. 8.
9 8 8 6 5 37 27 12
239,941,200 41,250,488 315,555,048 229,754,496 44,566,799 162,406,839 326,674,194 385,579,350 233,524,520 411,530,281 527,229,486 83,477,082 62,247,540 127,182,694
72
1. 33.075 28.47 2. 0.456 6.37 3. 4.43 19.78 4. 40.18 64.9 5. 14.352 52.46 6. 46.48 24.864 7. 387.8489 805.8582
PAGE
56,448 149,158 277,275 23,532 25,194 110,775 332,320 25,870 250,580 378,510
666,666 138,759 92,160 545,262 32,302 83,408 391,500 37,950
1. 84,899,318 418,533,666 2. 81,436,625 606,836,850 3. 203,352,950 163,982,916 4. 327,628,377 284,466,094 5. 364,091,972 307,582,579 6. 127,209,362 22,900,768 7. 25,440,135 42,011,116
PAGE
69
1. 131,292 278,400 2. 113,421 70,495 3. 41,454 230,278 4. 49,755 535,815 5. 57,375 44,750
6. 376,832 279,480 7. 176,767 504,355
PAGE
68
1. 384 944 2. 420 1,480 3. 2,340 713 4. 799 972 5. 2,520 693 6. 1,476 1,364 PAGE
528 74 230 264 375 136
7,712
1. 28,463,517 15,366,534 2. 22,517,484 14,919,247 3. 19,328,464 33,795,276 4. 12,864,844 58,649,815 5. 13,051,458 23,410,670 6. 33,066,710 27,998,676 7. 38,531,700 17,775,947 8. 5,682,632 14,268,120 1. 0.156 2. 1.674 1,723.0 3. 0.1421 4. 3.68 5. 139.2 6. 30.4
65
64 63 108 360 372 603
66
1. 47,349 12,639 2. 6,620 7,058 3. 5,080 16,384 4. 58,416 8,302 5. 56,126 12,580 6. 57,240 7,740 7. 4,231 6,525
PAGE
64
4 15 12 80 10 56 33 18
PAGE
7. 8. 9. 10. 11. 12. 13.
63
15 12 49 36 63 8 70 30
PAGE
1. 2. 3. 4. 5. 6. 7. 8.
62
PAGE
12.852
2.475
2.0825
4.06
31.175
19.669
28.635
276.25
66.64
34.16
0.9114
1.53
2.9211
136.32
12.57
52.32
86.00022 77.826
282.49788 13,420.582 35,032.3372
73 3 6 8 3 10 9 5 7
9 7 4 4 10 4 3 4
2 8 8 4 7 8 11 10
3 2 0 1 6 1 5 6
2 4 4 1 0 11 2 10
5 6 8 6 10 10 0 6
8 4 8 6 3 1 5 5
4 8 7 10 5 4 0 11
9 9 2 10 11 3 7 11
32 9 5 7 18 17 12 13
17 5 3 12 27 23 13 12
8 5 6 15 18 12 13 13
74 2 5 9 6 6 0 10 1
75 12 7 9 5 7 29 12 12
314,592 69,300
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 BM
7/20/06
10:14 AM
Page 142
Answer Key PAGE
1. 2. 3. 4. 5. 6. 7. 8.
PAGE
1. 2. 3. 4. 5. 6.
1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 1. 2. 3. 4. 5.
PAGE
1. 2. 3. 4. 5. 6. 7.
6R2 5R6 21R1 3R4 10R3 11R1
142R62 12R44 352R2 123R1 240R4
160R31 33R72 190R2 84R1 178R2
0.153 0.125 1.25 0.255 0.629
0.131 0.253 0.541 0.693 2.3
0.82 0.144 0.323 6.3 5.04
4R10 4 6R2 5R5 6 2 3 4
8 6R5 2 3R10 3 5 7 3
7 4 2 2 5 8 7 2
1. 2. 3. 4. 5. 6. 5R4 7 4 4 6 4 6 3
126 56 83 156 123R10 163R8 126
243 342 45 122R3 85 307 50
4 15.5 65.3 112.5 42.1
13.2 45.2 89.2 123.6 92.7
24.5 45.6 46.3 49.3 96.3
122 35R24 167R3 300 400R9 60 65
82
83 18;18x5=9 27;27x3=81 8;8x3=24 12;12x6=72 13;13x7=91 13;13x2=26 37;37x2=74 6;6x9=54 63;63÷7=9 81;81÷9=9 450;450÷90=5 30;30÷6=5
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
1. 2. 3. 4.
PAGE
90
1. 2. 3. 4.
1/9 2/5 1/5 2/3 1/3 7/9
1. 2. 3. 4. 5. 6. 7.
89 145 32,220 233,856 251,583 741 2,195,667
1,992 465 214 899 785 235 564
56 7,470 447 742 465 562,513 236
PAGE
1. 2. 3. 4. 5. 6. 7.
PAGE
9/10 1 3/8 1 1/6 7/8
7/10 11/12 1 1/3 2/3
1 7/15 1 13/30 11/15 17/20
PAGE
2/5 2/7 2/3 3/5 1 1/5
3/4 1/5 1/2 1/3 2/5 5/8
3/7 3/4 2/3 2/7 1 5/7
PAGE
1. 2. 3. 4. 1. 2. 3. 4.
1/4 1/6 1/6 11/20
13/30 2/9 1/2 1/2
2/5 13/24 3/4 4/15
1/3 17/42 5/12 1/2
1/6 1/10 5/9 3/14 5/28 6/25 5/18 7/32 7/48 6/35
142
1/5 4/7 7/32 2/15 10/21 5/16 1/12
7/30 10/21 3/4 77/96 1/4 1/4 1/3
9/1 1/12 5/3 3/8 x 2/3 x 1/3 x 3/7 x
4/1 5/1 3/2 9/5
= = = =
2/3 4 1/2 2 7/9 5/12 27/40 8 1/2
1 1/5 1 1/7 3/10 2 4/5 15 2 1
2/3 5/6 18/25 5/7 3/7 24/35 1 1/35
97 20/33 1 11/15 1 23/105 1 89/115 1 7/8 23/37
2 3/5 7/22 1 23/40 1 11/45 8/9 37/60
16/25 65/144 4 29/40 28/33 29 3/5 9/20
98
4 cups of sugar 33 1/3 acres 6 minutes and 28 seconds 1/6 cup of milk
99
1/2 28 more people 4:08 P.M. 116 people
100
2/3 3/4 1/9 1 13/30 1 5/12 3/20 1/2
PAGE
1. 2. 3. 4. 5. 6. 7.
4 1/2 3 3/8 2 7/10 25 5/18 31 1/2 7 13/20 25 1/2
96
2 19/28 3 1/3 1 9/20 21/22 12/19 1 8/13
PAGE
1. 2. 3. 4. 5. 6. 7.
1 13/15 11 1/5 5 5/6 6 7/8 10 5 28 4/5
95
7/8 4/15 12 1 2/3 2 1/2 1 1/5 1 3/5
7/9 5/6 7/10 1 3/5 2 1/6 2 8/13
1. 2. 3. 4. 5. 6.
6 3 3/20 3 3/4 8 2/5 10 58 4/15 48 11/16
1/8 4/2 6/5 2/1 1/14 8/7 4/3 4/1 24/1 5/6 x 2 = 1/3 x 1/5 = 3/10 x 5/1 = 1/4 x 3/1 = 1/3 x 2/1 = 4/5 x 4/1 = 3/4 x 3/4 = 9/10 x 1/6 =
1 1/4 4/5 4/7 1 1 1/2 1 4/9
93
12/35 3/10 1/3 3/28 7/20 2/7 3/20
PAGE
1. 2. 3. 4. 5. 6. 7.
94
1 27/28 7 1/2 27 3/28 6 6/7 11 7/10 16 7/8 7 1/2
1 1/4 4/7 1 5/9 4/9 1 1/5
92
1. 3/21 2. 3/10 3. 5/24 PAGE
9 8 2 21 155 312 31
91
5/9 5/8 1/2 1/2
PAGE
8 48 123 56 57 5 8
89 1/10 3/8 1/12 5/12
PAGE
7 8 5 120 44 10R1 12
88
1 1 1 1
1. 2. 3. 4. 5. 6.
99 49 21 52 170 125 80
87
1 1 7/8 6/7 7/8 1 1/5
PAGE
3. 51 cars 4. 3 times
86
1,804 15,967 43,708 193,860 107,856 4,046,502 2,341,262
PAGE
52R20 52 27 217R2 241 31 170
3;3x6=18 5;5x7=35 12;12x5=60 13;13x4=52 84;84÷7=12 52;52÷13=4 6. 39;39÷3=13 36;36÷12=3
1. 2. 3. 4. 5. 6. 7.
1. 2. 3. 4. 5. 6. 7.
85
5 72 70 11 24 150 20
PAGE
213R10 23R27 302R3 348R2 214R7
PAGE
3. 18 kazoos 4. 3 minutes
1. 120 cookies 2. 40 feet
81
322.3 87.5 85.2 96.3 94.3
PAGE
PAGE
80
132 52R26 31 165 75R7 141 20
PAGE
6R4 5R3 23R2 3R6 17R1 10R6
84
1. 15 pills 2. 60 people
79
2R20 6 5R3 4 7R3 5 6 3
PAGE
1,201 371 1244 7,105 904 187 3,976 2,142
78
0.8 0.234 0.322 0.411 5.6
PAGE
2,316 2,114 794 749 1,304 3,121 513 1,240
13R2 14R1 7R3 5R1 33R2 18R2
318R17 27R20 40R28 2,114R1 126R1
PAGE
1. 2. 3. 4. 5.
PAGE
276 302 215 353 449 220 314 2,752
77
13R1 8R1 6R7 15R5 19R1 19R3
PAGE
1. 2. 3. 4. 5.
76
718 918 2,307 1,227 239 1,015 513 721
7/18 1/3 1 1/7 2/5 1/3 1/6 2 5/8
3/10 1/12 3/64 15/32 3 1/3 1 1/12 2/3
101
1 23/40 3/8 3/10 22 11/12 1/6 11/12 3 16/25
PAGE
1 1/4 19/24 1/9 1 1/5 1/2 1 5/24 15/32 1 5/12 1 11/24 6 3 5/23 4 21/50 19/40 31 2/3
1/6 1 1/6 1 1/24 12 1 2/5 5/8 3/8
5/6 11/18 3/20 10 2/25 1 1/2 26 1/24 7 1/2
102
1. 13 + n = 25 2. n x 7 = 21
16 – n = 10 48 ÷ n = 8
3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com
Grade 5 BM
7/20/06
3. 4. 5. 6.
n – 2 = 14 4 x n = 32 18 – 7 = n n/2 + 9 = 15
PAGE
1. 2. 3. 4. 5.
10:14 AM
2n – 4 = 8 64 + n = 82 n – 19 = 20 15 + n = 25
103
4 12 0 15 10
PAGE
20 84 50 18 37
6. 7. 8. 9. 10.
8 105 115 20 7
4. n = 10 n = 2 5. n = 12 n = 4 6. n = 14 n = 4
105
1. x,y 0,3 1,5 2,7 4,11 6,15 2. x,y 0,-1 1,1 3,5 4,7 5,9 3. x,y 0,-3 3,3 5,7 6,9 7,11 PAGE
50 8 14 12 15
104
1. n = 3 n = 9 2. n = 3 n = 2 3. n = 3 n = 42 PAGE
Page 143
x,y 1,7 2,9 3,11 4,13 5,15 x,y 0,-3 4,1 5,2 6,3 8,5 x,y 0,5 1,8 5,20 7,26 10,35
x,y 0,-3 3,9 5,17 10,37 15,57 x,y 2,22 4,42 6,62 10,102 12,122 x,y 1,2.5 2,3 4,4 6,5 8,6
106
1a. x,y 0,1 2,2 4,3 6,4 8,5 1b. x,y 0,4 1,6 2,8 3,10 4,12
•
•
•
•
• • • •
2a. x,y 0,-4 1,0 2,4 3,8 4,12 2b. x,y 0,1 1,4 2,7 3,10 4,13
•
• • •
• • • •
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
PAGE
1. 2. 3. 4. 5. 6. 7. 8.
107
PAGE
n – 12 = 16 n x 12 = 48 (2 x n) – 6 = 18 96 7 59 n = -19 n = 90
PAGE
n – 100 = 36 61 + n = 121 n/3 – 7 = 0 47 2 291 n=4 n=3
108
1. 84 = 4n; n = 21 degrees 2. 2,346 – 573 = n; n = 1,773 miles 3. 9($15) = n; n = $135 4. 18 + 14 = n; n = 32 dandelions 5. 5n = 4,125; n = 825 kilograms PAGE
1. 2. 3. 4.
PAGE
1. 2. 3. 4.
16º 75º 180º 100º obtuse acute acute acute
111
112
400 mm 276,000 mm 21,000 cm 6.256 m 20,000 mm 360 mm 660 cm 20,000 m 3,000 mm 4,200 cm
PAGE
2600 cm 96,000 m 3.7 m 9.422 km 0.01 km
PAGE
1. 2. 3. 4.
A A A A
PAGE
A = 35 A = 120 x height = x height =
3. 25 16 38 4. 24 56 50
A = 240 A = 72 20 x 12 = 240 in2 8 x 14 = 112 in2
116 = = = =
60 A = 81 A = 60 4 A = 38.5 A = 48 1/2 bh = 6 x 8 = 48 ft2 1/2 bh = 3 x 10 = 30 in2
117 front = 8 x 1 back = 8 x 1 side 1 = 6 x 1 side 1 = 6 x 1 top = 8 x 6 bottom = 8 x 6
2. Drawings will vary. 3. Drawings will vary.
118
1. SA SA 2. SA SA 3. SA SA PAGE
= = = = = =
2400 ft2 190 in2 318 ft2 210 m2 382 yd2 1,800 in2
SA = 598 cm2 SA = 724 in2 SA = 96 cm2
119
1. V = 6 x 6 x 6 V = 2 x 2 x 10 V = 20 x 5 x 10 2. Drawings of rectangular prisms will vary. 3. Drawings of rectangular prisms will vary. PAGE
120
1. V = 24 in3 V = 240 in3 V = 56 cm3 2. V = 120 yd33 V = 150 ft3 V = 1,496 m3 3. 6 cubes 8 cubes 6 cubes PAGE
121
1. 75 meters 2. 294 boxes 3. acute
PAGE
114
143
160 96 base base
1. 2. 3. 4. 5. 6.
3. 32 in2 4. obtuse
123
400 mm 0.07m 86,010,000mm obtuse straight 36 in
PAGE
4. 32 yd 5. 28 feet
122
1. 64 inches 2. right
113
1. 12.5 16 15 2. 12 25 38
115 = = = =
1. front = 5 x 6 back = 5 x 6 side 1 = 4 x 6 side 2 = 4 x 6 top = 4 x 5 bottom = 4 x 5
PAGE
1. a. P = 11 + 11 + 5 + 5 b. P = 3 + 2 + 5 + 2 + 3 + 10 c. P = 6 + 6 + 12 2. a. P = 3 + 3 + 3 + 3 + 3 + 3 b. P = 2 + 2 + 10 + 5 + 10 c. P = 6 + 9 + 14 3. Drawings of shapes will vary. PAGE
A A A A
PAGE
acute acute right right
27 feet 120 inches 5280 yards 450 inches 36,960 feet 24 ft 5 ft 1 ft 1,805,760 ft 7 yd 880 yd 5 mi 6 in 3 mi 23,040 in
PAGE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
160º 45º 68º 163º
110
obtuse straight obtuse acute
PAGE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
109
120º 90º 135º 12º
1. 2. 3. 4.
72 in 5280 yd 6 yd acute obtuse 49 cm
right right
124
1. length 13.18 in 7.42 cm 11m width 14 in 5.72 cm 10m height 11 in 4.75 cm 2 m surface area 967 in2 209.71 cm2 404 m2 volume 2029.72 in3 201.60 cm3 220 m3 2. A = 1,196 mm2 A = 48 ft2 A = 36 m2 3. V = 68,544 cm3 V=1,452 in3 V = 72 m3
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Grade 5 BM
7/20/06
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Page 144
Answer Key PAGE
1. 2. 3. 4.
PAGE
1. 2. 3. 4.
125
213, 5 42, 5 104, 4 94, 5
126 5. 6. 7. 8.
15 0.375 .350 100 balls
127
PAGE
2/5, 1/3, 4/5,
PAGE
1. 2. 3. 4. 5. 6. 7.
134
2/5 2/3 2/5,
3/5
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
3. 5 out of 32 4. 1 out of 3
135
4 Mean, 12; Mean, 57; Mean, 134; Mean, 43; Mean, 18; Median, 15;
PAGE
128
1. 1/5, 2. 1/6, 3. 2/5,
3. 1 out of 6 4. 15 out of 26
1. 1 out of 2 2. 1 out of 7
1. 1/3 2. 1/6 3. 2/3 4. 5/6 5. 1/2 Answers include: 6. P(>20) 7. P(<12) 8. P(41) 9. P(even) PAGE
133
1. 1 out of 3 2. 1 out of 24 PAGE
30.75 69 2,737 5
PAGE
PAGE
5. 6 hits 6. 79 degrees 7. 6 hours
12.5 Median, 12; Median, 60; Median, 121; Median, 32; Median, 16 Mode, 15
18.75 Mode, 12 Mode, 40 Mode, 121 Mode, 32
136
19:114 97:114 32:114 92:114 0 19:95 97:17 37:77 93:21 71:43
129
1. 2. 3. 4. 5. 6. 7.
26/26 = 1/1 or 1 to 1 26/26 = 1/1 or 1 to 1 4/48 = 1/12 or 1 to 12 13/39 = 1/3 or 1 to 3 48/4 = 12/1 or 12 to 1 75% 16, or a multiple of 16 pieces of red jewelry 8. 1 to 10 9. 4 to 1 PAGE
1. 2. 3. 4. 5. 6.
130
1:7 1:1 1:1 1:3 7:1 1:1
PAGE
7. 8. 9. 10. 11.
3:1 1:1 5:4 4:1 24:1
131
1. 2. 3. 4. 5.
12 is the the median and the mean. 16 is the mode. 5 is the median and the mean. 15 is the median and the mean. 25 is the median, the mean, and the mode. 6. 13 is the mode. 7. 80 is the median and the mode. 8. 45 is the mode. PAGE
1. 2. 3. 4. 5.
132
10.6 9 44 25 31
9 29 35 23 7
6. 7. 8. 9.
9 14 22 36
199
Math Computation Skills and Strategies, Level 5 Saddleback Educational Publishing ©2006
144
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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.
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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.
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MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping
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Solving Word Problems Money Measurement
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100 plus+ REPRODUCIBLE ACTIVITIES
