Spectrum critical thinking for math. Grade 7.

128 Pages·2017·5.58 MB·english

by  Spectrum

CD-705119 G
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Critical Thinking for Math 7
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Critical Thinking
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Strategies and Activities
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• Positive and negative integers
• Ratios and proportions
Other titles available:
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Algebra Data Analysis & Probability Geometry Measurement
Grades 6–8 Grades 6–8 Grades 6–8 Grades 6–8
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• Answer key
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Critical Thinking for Math
Grade 7
Published by Spectrum®
an imprint of Carson-Dellosa Publishing
Greensboro, NC
705119 INT 7.indd 1 2/6/17 3:25 PM
Spectrum®
An imprint of Carson-Dellosa Publishing LLC
P.O. Box 35665
Greensboro, NC 27425 USA
© 2017 Carson-Dellosa Publishing LLC. 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 Publishing LLC. Spectrum® is an imprint of
Carson-Dellosa Publishing LLC.
ISBN 978-1-4838-3962-2

705119 INT 7.indd 2 2/6/17 3:25 PM
Table of Contents Grade 7
Chapter 1: Adding and Subtracting Rational Numbers
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Lessons 1-7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-16
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17
Chapter 2: Multiplying and Dividing Rational Numbers
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Lessons 1-7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21-29
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Chapter 3: Expressions, Equations, and Inequalities
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Lessons 1-7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35-41
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
Chapter 4: Ratios and Proportional Relationships
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
Lessons 1-6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46-53
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
Chapters 1-4 Mid-Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .56
Chapter 5: Geometry
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
Lessons 1-10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62-70
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
Chapter 6: Statistics
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
Lessons 1-3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76-80
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
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Table of Contents, continued
Chapter 7: Probability
Check What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Lessons 1-8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85-94
Check What You Learned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
Chapters 1-7 Final Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .97
Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102-126
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NAME
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Check What You Know
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Adding and Subtracting Rational Numbers T
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Compare the values using , , or  . R
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1 1
1 . 227 _____ 27 2 . u214 .375u ______ u13 .75u
3 4
Write the additive inverse of each number .
3 . 242 .6 _____ 4 . 13 .25 _____
Solve the problems .
3 1 1
5 . 13 .45  0 .025 2 5 .7  6 . 9 2 5  6 
4 3 6
Use a number line to complete the following problems .
3 1
7 . 2  (2 ) 
4 2
25 0 5
8 . 21 .75  3 
25 0 5
Solve the problems . Show your work .
9 . 24 .35 21 .48  10 . 14 2 (231) 
5 2
Spectrum Critical Thinking for Math Chapter 1
Grade 7 Check What You Know
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NAME
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Check What You Know
T
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R Adding and Subtracting Rational Numbers
P

1

R
TE Solve the problems . Show your work .
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11 . Lucy has scored 40 points in her trivia game so far . She answers 2 more
questions correctly and scores 20 points . Then, she answers a question
incorrectly and loses 25 points . What is her final score?
12 . A hiker takes a trail that increases his altitude by 26 .9 feet . He switches to
another trail that will decrease his altitude by 35 .6 feet . What is his overall
change in altitude?
13 . The coldest record temperature in Belton is 29 degrees . The highest
temperature on record is 102 degrees . What is the difference between the two
temperatures?
14 . Shane lost 51 pounds . Shonda lost 31 pounds . How much more weight did
2 4
Shane lose?
Spectrum Critical Thinking for Math Chapter 1
Grade 7 Check What You Know
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NAME
________________________________________________________________________________
Lesson 1.1 Absolute Value and Rational Numbers
Absolute value is the distance between a number and zero on a number line .
Numbers that are opposites will have the same absolute value .
2 2 2 2
2  
3 3 3 3
21 22 21 0 1 2 1
3 3 3 3
Answer the questions .
If u X uu Y u and both X and Y are negative numbers, describe the location of point X
in relation to the location of point Y on a number line .
Compare u281 u and u 72 u . Explain your thinking .
3 3
Write a statement comparing u E u and u F u . Explain your thinking .
E 0 F
Spectrum Critical Thinking for Math Lesson 1 .1
Grade 7 Absolute Value & Rational Numbers
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NAME
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Lesson 1.2 Additive Inverse
Opposite numbers have the same absolute value . Two numbers that can be added
together to equal zero are called additive inverses .
Emelia’s mother gives her $4 to go to the store . At the store, Emelia spends $4 on
a bag of oranges . How much money does Emelia have left?
Spent $4
Given $4
25 0 1 2 3 4 5
Combine the amount of money that Emelia was given ($4) with the amount she
spent (2$4) to find how much she has left . 4  (24) = 0 . Emelia has $0 left .
Answer the questions using the additive inverse . Show your work .
1 1
Hermine is making a skirt . She bought 5 yards of fabric . She used 3 yards to
4 2
make the skirt . How many yards can she give away if she wants to end up with no
fabric?
Juan earned $28 mowing a lawn and $15 walking a dog . The next day, he bought
a t-shirt for $20 and a jacket for $22 . Was the sum of what he earned the additive
inverse of what he spent?
Spectrum Critical Thinking for Math Lesson 1 .2
Grade 7 Additive Inverse
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