Spectrum Critical Thinking for Math, Grade 5

132 Pages·2017·4.621 MB·English

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Critical Thinking for Math 5
5

Critical Thinking
Supporting your child’s educational journey every step of the way.
for Math
Spectrum® provides specific support in the skills and standards that
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Spectrum is available in these titles for fifth grade success: h
i
n
k
i
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g
f
o
r
M
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Strategies and Activities
to Extend Mathematical
Understanding
•Fractions and decimals
Other titles available:
•Perimeter, area, and volume
Geometry Fractions
•Graphing on the coordinate plane
•Classifying geometric figures
•Preparing for algebra
•Answer key
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Critical Thinking
for Math
Grade 5
®
Published by Spectrum
an imprint of Carson Dellosa Education
Greensboro, NC
770055111177 IINNTT 55..iinndddd 11 44//66//2200 22::4477 PPMM
Spectrum®
An imprint of Carson Dellosa Education
PO Box 35665
Greensboro, NC 27425 USA
© 2017 Carson Dellosa Education. Except as permitted under the United States Copyright Act, no part of this
publication may be reproduced, stored, or distributed in any form or by any means (mechanically, electronically,
recording, etc.) without the prior written consent of Carson Dellosa Education. Spectrum® is an imprint of
Carson Dellosa Education.
ISBN 978-1-4838-3960-8
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Table of Contents Grade 5
Chapter 1: Multiplying and Dividing Whole Numbers
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Lessons 1–6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6–11
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Chapter 2: Understanding Place Value
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Lessons 1–7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16–23
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Chapter 3: Using Decimals
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Lessons 1–7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27–33
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Chapter 4: Understanding Fractions
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
Lessons 1–8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38–45
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
Chapter 5: Operations with Fractions
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
Lessons 1–9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50–58
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Chapters 1–5 Mid-Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Chapter 6: Understanding Mathematical Equations
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
Lessons 1–6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67–72
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
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Table of Contents, continued
Chapter 7: Measurement
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Lessons 1–8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77–84
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
Chapter 8: Geometry
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
Lessons 1–5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89–93
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
Chapters 1–8 Final Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
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NAME
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Check What You Know
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Multiplying and Dividing Whole Numbers T
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Multiply or divide . R
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1 . 9435 2 . 588 3 . 32qw1472 4 . 55qw3520
3 15 3 204
Solve the problems below using multiplication or division . Be sure to show your work .
5 . A toy store receives 1,023 boxes of toys in a shipment . If there are 32 toys in
each box, how many toys has the toy store received?
6 . Marcus needs at least 1,000 juice boxes for his after-school program . The juice
boxes come in packs of 12 . How many juice box packs does Marcus need
to buy?
Spectrum Critical Thinking for Math Chapter 1
Grade 5 Check What You Know
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Lesson 1.1 Multiplying through 4 Digits
You can use place value to multiply multi-digit numbers .
2135 It can work the opposite Or use the standard
3 23 way as well: method:
2135 2135
2000 x 23 = 46000
3 23 3 23
100 x 23 = 2300
30 x 23 = 690 2135 x 20 = 42700 6405
+ 5 x 23 = 115 + 2135 x 3 = 6405 + 42700
49,105 49,105 49,105
Solve the problems below using place value . Show your work .
4590 7832
3 321 3 73
3754 5614
3 215 3 91
Spectrum Critical Thinking for Math Lesson 1 .1
Grade 5 Multiplying through 4 Digits
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Lesson 1.2 Multi-Digit Division Using Arrays
You can use a rectangular array to solve division problems .
13 26 39 52 65 78 91 104 117 130 143 156 156 4 13 = ?
1 . Create a column with 13 marks .
2 . Continue adding columns with
13 marks until the dividend is
reached (156) .
3 . Count the number of columns to
find the quotient (12) .
156 4 13 = 12
1 2 3 4 5 6 7 8 9 10 11 12
Create rectangular arrays to solve the division problems .
184 4 23 = 330 4 22 =
Spectrum Critical Thinking for Math Lesson 1 .2
Grade 5 Multi-Digit Division Using Arrays
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Lesson 1.3 Using Long Division
To use long division, decompose the
124
dividend and divide each part by the divisor
56qw6944
using estimation .
2 5600 6900 4 56 = about 100
1344
Then, subtract and repeat until you 2 1120 1300 4 56 = about 20
reach the ones place . 224
2 224 224 4 56 = 4
0
Use long division to solve each problem below . Show your work .
23qw1955 83qw3901
92qw5796 21qw6825
Spectrum Critical Thinking for Math Lesson 1 .3
Grade 5 Using Long Division
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