i ii FM 103031 - MHSchool · iiii_v_FM_103031.indd ivii_v_FM_103031.indd iv 3/22/10 12:17 PM. Digital and Print Solutions v Learn Personal Tutor presents a teacher explaining

ISBN: 978-0-02-103031-6MHID: 0-02-103031-6

www.macmillanmh.com 5

Get ConnectED

connectED.mcgraw-hill.com

AuthorsCarter • Cuevas • Day • Malloy

Altieri • Balka • Gonsalves • Grace • Krulik • Molix-Bailey • MoseleyMowry • Myren • Price • Reynosa • Santa Cruz • Silbey • Vielhaber

Contents Start Smart 1 Place Value 2 Multiply Whole Numbers 3 Divide by a One-Digit Divisor 4 Divide by a Two-Digit Divisor 5 Add and Subtract Decimals 6 Multiply and Divide Decimals 7 Factors, Fractions, and Decimals 8 Add and Subtract Fractions 9 Expressions, Equations, and Inequalities 10 Display and Interpret Data 11 Perimeter and Area 12 Surface Area and Volume of Prisms 13 Measurement

Problem-Solving Projects

AuthorsCarter • Cuevas • Day • Malloy • Altieri • Balka

Gonsalves • Grace • Krulik • Molix-Bailey • Moseley • MowryMyren • Price • Reynosa • Santa Cruz • Silbey • Vielhaber

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ii

Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher.

Send all inquiries to:Macmillan/McGraw-Hill8787 Orion PlaceColumbus, OH 43240-4027

ISBN: 978-0-02-103031-6MHID: 0-02-103031-6 Tennessee Math Connects Grade 5

Printed in the United States of America.

1 2 3 4 5 6 7 8 9 10 QWD 19 18 17 16 15 14 13 12 11 10

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iii

CHAPTER

iii

Contents in Brief

Master the Tennessee GLEsStart Smart A review of concepts from Grade 4

1 Place Value

2 Multiply Whole Numbers

3 Divide by a One-Digit Divisor

4 Divide by a Two-Digit Divisor

5 Add and Subtract Decimals

6 Multiply and Divide Decimals

7 Factors, Fractions, and Decimals

8 Add and Subtract Fractions

9 Expressions, Equations, and Inequalities

10 Display and Interpret Data

11 Perimeter and Area

12 Surface Area and Volume of Prisms

13 Measurement

End-of-Year OptionProblem-Solving Projects

Go the Distance

Arranging Space

Mail Mania

It’s How Big?

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iv


iv

Investigate Animations present an animation of a

math concept or graphic novel.

Vocabulary presents visual representations of math concepts.

Math Songs reinforce math concepts through songs.

Multilingual eGlossary presents key vocabulary in 13 languages.

FPO

ivivivivivivivivviivivivivivvivivvivivvivivivivivivvvvivvvivviviviviviviviviviivivivivivviviiviivivivivivivvviviv

“It’s easy to do my assignments online and quick to fi nd everything I need.”

Online Guide tED hi

Get ConnectED

c

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D i g i t a l a n d P r i n t S o l u t i o n s

v

Learn Personal Tutor presents a teacher explaining

step-by-step solutions to problems.

Virtual Manipulatives provide digital ways to explore concepts.

Audio recordings provide an opportunity to build oral and listening fluency.

Foldables provide a unique way to enhance students’ study skills.

Practice Self-Check Practice allows students to

assess their knowledge of foundational skills.

eGames allow students to practice math concepts using interactive games.

Worksheets provide additional practice and reteach opportunities.

Online Assessment checks understanding of concepts and terms.

v

The icons found throughout Math Connects provide you with the opportunity to connect the print textbook with online interactive learning.

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vi

Get ConnectED Meet the Authors.

Lead Authors

Authors

Roger Day, Ph.D., NBCTMathematics Department ChairpersonPontiac Township High SchoolPontiac, IllinoisAreas of Expertise: Understanding and applying

probability and statistics; Mathematics Teacher Education

Gilbert J. Cuevas, Ph.D.Professor of Mathematics EducationTexas State University−San MarcosSan Marcos, TexasAreas of Expertise: Applying concepts and skills

in mathematically rich contexts; Mathematical Representations

Carol E. Malloy, Ph.D.Associate ProfessorUniversity of North Carolina at Chapel HillChapel Hill, North CarolinaAreas of Expertise: Representations and critical

thinking; Student Success in Algebra 1

John A. Carter, Ph.D. Assistant Principal for Teaching and LearningAdlai E. Stevenson High SchoolLincolnshire, IllinoisAreas of Expertise: Using technology and

manipulatives to visualize concepts; Mathematics Achievement of English-Language Learners

Our lead authors ensure that the Macmillan/McGraw-

Hill and Glencoe/McGraw-Hill mathematics programs

are truly vertically aligned by beginning with the end

in mind—success in Algebra 1 and beyond. By “backmapping” the

content from the high school programs, all of our mathematics

programs are well articulated in their scope and sequence.

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A u t h o r sA

vii

Program Authors

Contributing Author

Mary Behr AltieriPutnam/Northern

Westchester BOCESYorktown Heights, New York

Don S. BalkaProfessor EmeritusSaint Mary’s CollegeNotre Dame, Indiana

Philip D. GonsalvesMathematics CoordinatorAlameda County Office of

Education and California State University East Bay

Hayward, California

Ellen C. GraceConsultantAlbuquerque, New Mexico

Stephen KrulikProfessor Emeritus Mathematics EducationTemple UniversityCherry Hill, New Jersey

Carol Malloy, Ph.D.Associate ProfessorUniversity of North Carolina

at Chapel HillChapel Hill, North Carolina

Rhonda J. Molix-BaileyMathematics ConsultantMathematics by DesignDesoto, Texas

Lois Gorden MoseleyStaff DeveloperNUMBERS: Mathematics

Professional DevelopmentHouston, Texas

Brian MowryIndependent Math Educational

Consultant/Part-time Pre-K Instructional Specialist

Austin Independent School DistrictAustin, Texas

Christina L. MyrenConsultant TeacherConejo Valley Unified School DistrictThousand Oaks, California

Jack Price, Ed.D.Professor EmeritusCalifornia State Polytechnic

UniversityPomona, California

Mary Esther ReynosaInstructional Specialist for

Elementary MathematicsNorthside Independent

School DistrictSan Antonio, Texas

Rafaela M. Santa CruzSDSU/CGU Doctoral Program in

EducationSan Diego State UniversitySan Diego, California

Robyn SilbeyMath Content CoachMontgomery County Public SchoolsGaithersburg, Maryland

Kathleen VielhaberMathematics ConsultantSt. Louis, Missouri

Dinah Zike Educational ConsultantDinah-Might Activities, Inc.San Antonio, Texas

Lead ConsultantViken HovsepianProfessor of MathematicsRio Hondo CollegeWhittier, California

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viii

Consultants and Reviewers

T hese professionals were

instrumental in providing

valuable input and

suggestions for improving the

effectiveness of the mathematics

instruction.

Mathematical ContentGrayson H. Wheatley, Ph.D.Emeritus ProfessorFlorida State UniversityTallahassee, Florida

Dr. Michaele ChappellProfessor of Mathematics EducationMiddle Tennessee State UniversityMurfreesboro, Tennessee

Differentiated InstructionJennifer Taylor-Cox, Ph.D.Educational ConsultantInnovative Instruction: Connecting Research

and Practice in EducationSeverna Park, Maryland

Reading in the Content AreasSue Z. BeersPresident / ConsultantTools for Learning, Inc.Jewell, Iowa

Reading and VocabularyDonald R. Bear, Ph.D.Macmillan/McGraw-Hill Treasures AuthorDirector, E.L. Cord Foundation Center for

Learning and LiteracyProfessor of Educational SpecialtiesCollege of EducationUniversity of Nevada, RenoReno, Nevada

Graphic NovelsDouglas Fisher, Ph.D.Macmillan/McGraw-Hill Treasures AuthorAssociate Professor in the College of EducationDepartment of Teacher EducationSan Diego State UniversitySan Diego, California

Family InvolvementPaul Giganti, Jr.Children’s AuthorDirector, Math Festival ProgramCalifornia Math CouncilAlbany, California

LiteratureDavid M. SchwartzChildren’s Author, Speaker, StorytellerOakland, California

English LearnersKathryn HeinzeGraduate School of EducationHamline UniversitySt. Paul, Minnesota

Gladis Kersaint, Ph.D.Associate Professor of Mathematics Education, K–12University of South FloridaTampa, Florida

Cognitively Guided InstructionSusan B. Empson, Ph.D.Associate Professor of Mathematics and Science EducationUniversity of Texas at AustinAustin, Texas

Consultants

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C o n s u l t a n t s a n d R e v i e w e r sC

ix

Lisa M. BaranoskiNumeracy CoachAntioch High SchoolNashville, TN

Tracy BensonMath Intervention Specialist (Grades 4–6)/Read 180Catlettsburg Elementary SchoolSevierville, TN

Stephen W. BlessingDirector of Curriculum, 6–12Coffee County SchoolsManchester, TN

Dr. Allison ClarkMathematics Curriculum SpecialistShelby County SchoolsMemphis, TN

Dr. Brenda P. DeanAssistant SuperintendentMorristown, TN

Ashley Donoho3rd Grade Teacher Dresden Elementary SchoolDresden, TN

Jane HudginsAssistant Principal/Literacy LeaderMartin Elementary SchoolMartin, TN

Tamora L. Jackson, B.B.A., M.A.T., Ed.D.

6th/7th Grade TeacherBellevue Middle SchoolMemphis, TN

Timothy JonesExemplary TeacherShelby County SchoolsMemphis, TN

Randall B. KincaidSupervisor of Instruction, PreK-3Sevier County Board of EducationSevierville, TN

Leslie MatternMath TeacherSevier County High SchoolSevierville, TN

Gary A. PetkoMathematics SpecialistKnox County SchoolsKnoxville, TN

Sherleta Sanders2nd Grade TeacherLaVergne Lake ElementaryLaVergne, TN

Ernestine Saville-BrockMath CoordinatorMetro-Nashville Public SchoolsNashville, TN

Leah B. Tomlinson8th Grade Math TeacherWest Wilson Middle SchoolMt. Juliet, TN

Jerry L. WhitakerMathematics Curriculum CoordinatorWashington CountyJonesborough, TN

Tennessee Advisory Board

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Contents

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1 The Four-Step Plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

2 Round Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

3 Add and Subtract Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

4 Pictographs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

You may want to use these optional lessons to refresh key prerequisite skills taught in previous grades.

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C o n t e n t sC

Every chapter and every lesson has a wealth of interactive learning opportunities.


Investigate

Learn

Practice

hill

Get ConnectED

xi

1CHAPTER

Place ValueAre You Ready for the Chapter? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

Whole NumbersMulti-Part

Lesson 1A Place Value Through Millions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

B Compare and Order Whole Numbers through Millions . . . . . . . . . . 21

C Problem-Solving Investigation: Use the Four Step Plan . . . . . . . 24

DecimalsMulti-Part

Lesson 2A EExxxplp ooorrreee Math Activity Fractions and Decimals . . . . . . . . . . . . . . . . 26

B Represent Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

C Place Value through Millionths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

D Compare Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

Order Whole Numbers and DecimalsMulti-Part

Lesson 3A Order Whole Numbers and Decimals . . . . . . . . . . . . . . . . . . . . . . . . 40

Game Time: Decimal War . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

B Problem-Solving Strategy: Work Backward . . . . . . . . . . . . . . . . . . 46

Problem Solving in Geography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

Chapter Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

Practice Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55

Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

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2CHAPTER

Are You Ready for the Chapter? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60

The Distributive PropertyMulti-Part

Lesson 1 A Multiplication Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

B EExxxplp ooorrreee Use Partial Products and the Distributive Property . . . . . . 64

C The Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

Multiply by One-Digit NumbersMulti-Part

Lesson 2 A Estimate Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70

B Multiply by One-Digit Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74

C Problem-Solving Strategy: Draw a Picture . . . . . . . . . . . . . . . . . . 78

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

Multiply by Two-Digit NumbersMulti-Part

Lesson 3 A Multiply by Two-Digit Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

Game Time: What’s the Difference? . . . . . . . . . . . . . . . . . . . . . 85 B Multiplication Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

C Problem-Solving Investigation: Choose the Best Strategy . . . . . 90

Problem Solving in Social Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92

Chapter Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94

Practice Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99

Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100

Multiply Whole Numbers

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C o n t e n t sC



Investigate

Learn

Practice

hill

Get ConnectED

xiii

3CHAPTER

Are You Ready for the Chapter? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104

Divide by a One-Digit DivisorMulti-Part

Lesson 1A Relate Division to Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105

B EExxxplp ooorrreee Division Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108

C Divide a Two-Digit Dividend by a One-Digit Divisor . . . . . . . . . . . . 110

D Division Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114

E Problem-Solving Strategy: Guess, Check, and Revise . . . . . . . . 118 Game Time: Mission Division . . . . . . . . . . . . . . . . . . . . . . . . . 120

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121

Divide Three- and Four-Digit DividendsMulti-Part

Lesson 2A Estimate Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122

B EExxxplp ooorrreee Division Models with Greater Numbers . . . . . . . . . . . . . . 126

C EExxxplp ooorrreee Distributive Property and Partial Quotients . . . . . . . . . . . 128

D Divide Three- and Four-Digit Dividends . . . . . . . . . . . . . . . . . . . . . . 130

E Place the First Digit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134

F Quotients with Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137

Interpret the RemainderMulti-Part

Lesson 3A EExxxplp ooorrreee Interpret the Remainder . . . . . . . . . . . . . . . . . . . . . . . . . . . 140

B Interpret the Remainder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142

C Problem-Solving Investigation: Extra or Missing Information . . . 146

Problem Solving in Social Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148

Chapter Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150

Practice Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155

Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156

Divide by aOne-Digit Divisor

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CHAPTER


Divide by a Two-Digit DivisorMulti-Part

Lesson 1 A Estimate Quotients with Two-Digit Divisors . . . . . . . . . . . . . . . . . . 161

B EExxxplp ooorrreee Divide by a Two-Digit Divisor . . . . . . . . . . . . . . . . . . . . . . . 164

C Divide by a Two-Digit Divisor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166

D Problem-Solving Strategy: Solve a Simpler Problem . . . . . . . . . 170

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172 Game Time: Lowest Number Wins! . . . . . . . . . . . . . . . . . . . . 173

Divide Greater NumbersMulti-Part

Lesson 2 A Adjust Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174

B Divide Greater Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178

C Problem-Solving Investigation: Choose the Best Strategy . . . . 182

Problem Solving in Health . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184Chapter Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186Practice Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190

Divide by aTwo-Digit Divisor4

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C o n t e n t sC



Investigate

Learn

Practice

hill

Get ConnectED

xv

CHAPTER Add and Subtract Decimals


Estimate Sums and DifferencesMulti-Part

Lesson 1A Round Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195

B Estimate Sums and Differences . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198

C Problem-Solving Investigation: Estimate or Exact . . . . . . . . . . . 202

Add DecimalsMulti-Part

Lesson 2A EExxxplp ooorrreee Add Decimals Using Base-Ten Blocks . . . . . . . . . . . . . . . . 204

B EExxxplp ooorrreee Add Decimals Using Models . . . . . . . . . . . . . . . . . . . . . . . 206

C Add Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208

D Addition Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 Game Time: Find the Least Sum . . . . . . . . . . . . . . . . . . . . . . . 216


Subtract DecimalsMulti-Part

Lesson 3A EExxxplp ooorrreee Subtract Decimals Using Base-Ten Blocks . . . . . . . . . . . . 218

B EExxxplp ooorrreee Subtract Decimals Using Models . . . . . . . . . . . . . . . . . . . . 220

C Subtract Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222

D Problem-Solving Strategy: Work Backward . . . . . . . . . . . . . . . . . 226




Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 236

5

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xvi

CHAPTER


Multiply Decimals by Whole NumbersMulti-Part

Lesson 1 A Estimate Products of Whole Numbers and Decimals . . . . . . . . . . . 241

B EExxxplp ooorrreee Multiply Decimals by Whole Numbers . . . . . . . . . . . . . . . 244

C Multiply Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . 245

Multiply DecimalsMulti-Part

Lesson 2 A EExxxplp ooorrreee Use Models to Multiply Decimals . . . . . . . . . . . . . . . . . . . 248

B Multiply Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250

C Multiply Decimals by Powers of Ten . . . . . . . . . . . . . . . . . . . . . . . . 254

D Problem-Solving Strategy: Look for a Pattern . . . . . . . . . . . . . . . 258


Divide Decimals by Whole NumbersMulti-Part

Lesson 3 A Estimate Quotients of Decimals and Whole Numbers . . . . . . . . . . 261

B EExxxplp ooorrreee Divide Decimals by Whole Numbers . . . . . . . . . . . . . . . . . 264

C Divide Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . 265

D Divide Decimals by Powers of Ten . . . . . . . . . . . . . . . . . . . . . . . . . . 268 Game Time: Estimation Roll Off . . . . . . . . . . . . . . . . . . . . . . . 271

Divide DecimalsMulti-Part

Lesson 4 A EExxxplp ooorrreee Divide Decimals Using Models . . . . . . . . . . . . . . . . . . . . . 272

B Divide Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 274


Problem Solving in Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280



Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288

Multiply and Divide Decimals6

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Investigate

Learn

Practice

hill

Get ConnectED

xvii

CHAPTER


Prime Factorization and ExponentsMulti-Part

Lesson 1A EExxxplp ooorrreee Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . 293

B Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 296

C Prime Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300

D EExxxplp ooorrreee Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304

E Powers and Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305

Fractions in Simplest FormMulti-Part

Lesson 2A EExxxplp ooorrreee Common Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 308

B Greatest Common Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309

C Simplest Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314


Write Multiples and Compare FractionsMulti-Part

Lesson 3A EExxxplp ooorrreee Least Common Multiple . . . . . . . . . . . . . . . . . . . . . . . . . . . 319

B Least Common Multiple . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320

C Problem-Solving Strategy: Look for a Pattern . . . . . . . . . . . . . . . 324

D Compare Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 326

Fractions and DecimalsMulti-Part

Lesson 4A EExxxplp ooorrreee Fractions and Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . 330

B Fractions and Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331 Game Time: That’s Not Proper . . . . . . . . . . . . . . . . . . . . . . . . 334

C Terminating Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335

D Problem-Solving Investigation: Choose the Best Strategy . . . . 338




Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348

Factors, Fractions, and Decimals7

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Add and Subtract Like FractionsMulti-Part

Lesson 1 A EExxxplp ooorrreee Add Like Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353

B Add Like Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355

C EExxxplp ooorrreee Subtract Like Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 358

D Subtract Like Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360

Add and Subtract Unlike FractionsMulti-Part

Lesson 2 A EExxxplp ooorrreee Add Unlike Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 364

B Add Unlike Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 366

C EExxxplp ooorrreee Subtract Unlike Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . 370

D Subtract Unlike Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 Game Time: Fraction Subtraction . . . . . . . . . . . . . . . . . . . . . . 377

Estimate Sums and DifferencesMulti-Part

Lesson 3 A Round Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 378

B Problem-Solving Strategy: Determine Reasonable Answers . . . 382

C Estimate Sums and Differences . . . . . . . . . . . . . . . . . . . . . . . . . . . . 384

Add and Subtract Mixed NumbersMulti-Part

Lesson 4 A EExxxplp ooorrreee Add Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 388

B Add Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 390

C Subtract Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 394

D Subtract with Renaming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398

E Problem-Solving Investigation: Choose the Best Strategy . . . . 402




Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412

Add and Subtract Fractions8

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CHAPTER


Order of OperationsMulti-Part

Lesson 1A Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 417

B Evaluate Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 422

C Problem-Solving Strategy: Make a Table . . . . . . . . . . . . . . . . . . . 426

D Function Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 428

Identify and Plot Ordered PairsMulti-Part

Lesson 2A Ordered Pairs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432

Game Time: Where’s My Line? . . . . . . . . . . . . . . . . . . . . . . . . 435

B Graph Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 436

C EExxxteteennnddd Compare Graphs of Functions . . . . . . . . . . . . . . . . . . . . . . 440


EquationsMulti-Part

Lesson 3A EExxxplp ooorrreee Model Addition Equations . . . . . . . . . . . . . . . . . . . . . . . . . 442

B Addition and Subtraction Equations. . . . . . . . . . . . . . . . . . . . . . . . . 444

C EExxxplp ooorrreee Model Multiplication Equations . . . . . . . . . . . . . . . . . . . . . 448

D Multiplication and Division Equations . . . . . . . . . . . . . . . . . . . . . . . 450



InequalitiesMulti-Part

Lesson 4A EExxxplp ooorrreee Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 458

B Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 460



Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 470

Expressions, Equations, and Inequalities9

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10 Display and Interpret Data


Double Bar GraphsMulti-Part

Lesson 1 A Collect and Organize Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 475

B EExxxplp ooorrreee Construct Bar Graphs and Double Bar Graphs . . . . . . . . . 478

C Double Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 481

Line GraphsMulti-Part

Lesson 2 A EExxxplp ooorrreee Construct Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486

B Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 489

C Analyze Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 494

D Problem-Solving Strategy: Make a Graph . . . . . . . . . . . . . . . . . . 498 Game Time: Four in a Row . . . . . . . . . . . . . . . . . . . . . . . . . . . 500


Mean, Median, Mode, and RangeMulti-Part

Lesson 3 A EExxxplp ooorrreee Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 502

B Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 504

C Median and Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 507

D Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 510

Problem Solving in Art . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 516

IntegersMulti-Part

Lesson 4 A EExxxplp ooorrreee Negative Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 518

B Integers and Graphing on Number Lines. . . . . . . . . . . . . . . . . . . . . 520

C Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 524

D Problem-Solving Investigation: Choose the Best Strategy . . . . 528



Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 536

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PerimeterMulti-Part

Lesson 1A EExxxplp ooorrreee Perimeter of Rectangles . . . . . . . . . . . . . . . . . . . . . . . . . . . 541

B Perimeter of Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 543

Area of Rectangles and SquaresMulti-Part

Lesson 2A Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 548

B EExxxplp ooorrreee Area of Rectangles and Squares . . . . . . . . . . . . . . . . . . . . 552

C Area of Rectangles and Squares . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554

D Problem-Solving Strategy: Logical Reasoning . . . . . . . . . . . . . . . 558


Area of ParallelogramsMulti-Part

Lesson 3A EExxxplp ooorrreee Area of Parallelograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . 561

B Area of Parallelograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 563

Area of Triangles and TrapezoidsMulti-Part

Lesson 4A EExxxplp ooorrreee Area of Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 566

B Area of Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 568


D EExxxplp ooorrreee Area of Trapezoids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574

E Area of Trapezoids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 576 Game Time: What’s the Area . . . . . . . . . . . . . . . . . . . . . . . . . . 579

Problem Solving in Art . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 580



Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 588

Perimeter and Area11

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Properties of Three-Dimensional FiguresMulti-Part

Lesson 1 A EExxxplp ooorrreee Build Three-Dimensional Figures. . . . . . . . . . . . . . . . . . . . 593

B Three-Dimensional Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 596

C EExxxteteennnddd Views of Three-Dimensional Figures . . . . . . . . . . . . . . . . . 600

Surface Area of PrismsMulti-Part

Lesson 2 A EExxxplp ooorrreee Surface Area of Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . 602

B Surface Area of Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 604 Game Time: 10 Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 608


Volume of PrismsMulti-Part

Lesson 3 A Problem-Solving Strategy: Make a Model . . . . . . . . . . . . . . . . . . 610

B EExxxplp ooorrreee Volume of Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 612

C Volume of Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 613

D Select Appropriate Measurement Formulas . . . . . . . . . . . . . . . . . . 618





Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 632

Surface Area and Volume of Prisms12

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Customary MeasurementMulti-Part

Lesson 1A EExxxplp ooorrreee Measure with a Ruler . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 637

B Customary Units of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 639

C Problem-Solving Strategy: Draw a Diagram . . . . . . . . . . . . . . . . 644

D EExxxplp ooorrreee Estimate and Measure Weight . . . . . . . . . . . . . . . . . . . . . . 646

E Customary Units of Weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 648

F EExxxplp ooorrreee Estimate and Measure Capacity . . . . . . . . . . . . . . . . . . . . . 652

G Customary Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 653


Metric MeasurementMulti-Part

Lesson 2A EExxxplp ooorrreee Metric Rulers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 657

B Metric Units of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 659

C EExxxplp ooorrreee Metric Units of Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 663

D Metric Units of Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 665

E EExxxplp ooorrreee Metric Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . 669

F Metric Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 670 Game Time: Metric Pairs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 673

Units of TimeMulti-Part

Lesson 3A EExxxplp ooorrreee Units of Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 674

B Units of Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 676

C Elapsed Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 680

D EExxxteteennnddd Use Appropriate Units and Tools . . . . . . . . . . . . . . . . . . . . 684


Problem Solving in Health . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 688



Test Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 696

Measurement13

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End-of-Year Projects

xxiv

Go the Distance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .700

Arranging Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .702

Mail Mania . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .704

It’s How Big? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .706

Problem-Solving Projects

You may want to use these Problem-Solving Projects to finish the school year.

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Student HandbookExtra Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . EP2

Reference

Photo Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . R1

English-Spanish Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . R3

Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R32

1

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Documents

i ii FM 103031 - MHSchool · iiii_v_FM_103031.indd ivii_v_FM_103031.indd iv 3/22/10 12:17 PM. Digital and Print Solutions v Learn Personal Tutor presents a teacher explaining