Author Team

Ray Appel Trevor Brown

Lissa D’Amour Sharon Jeroski

Sandra Glanville Maurer Peggy Morrow

Cynthia Pratt Nicolson Gay Sul

With Contributions fromNora Alexander Ralph Connelly Michael Davis

Angela D’Alessandro Mary Doucette Lalie Harcourt

Jason Johnston Don Jones Bryn Keyes

Antonietta Lenjosek Carole Saundry Jeananne Thomas

Steve Thomas Ricki Wortzman

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PublisherMike Czukar

Research and Communications ManagerBarbara Vogt

Publishing TeamEnid HaleyClaire BurnettLesley HaynesAlison RiegerIoana GageaLynne GulliverRuth PeckoverAnnette DarbyStephanie CoxJane SchellKaren AlleyJudy Wilson

Photo ResearchMaria DeCambraMonika Schurmann

Design and Art DirectionWord & Image Design Studio Inc.

CompositionIntegra Software Services Pvt. Ltd.Lapiz Digital Services, India

Copyright © 2009 Pearson Education Canada,a division of Pearson Canada Inc. All rights reserved.

This publication is protected by copyright, andpermission should be obtained from the publisherprior to any prohibited reproduction, storage in aretrieval system, or transmission in any form or byany means, electronic, mechanical, photocopying,recording, or likewise. For information regardingpermission, write to the Permissions Department.

ISBN-13 978-0-321-49844-1ISBN-10 0-321-49844-5

Printed and bound in the United States.

1 2 3 4 5 13 12 11 10 09

The information and activities presented in thisbook have been carefully edited and reviewed.However, the publisher shall not be liable for anydamages resulting, in whole or in part, from thereader’s use of this material.

Brand names that appear in photographs ofproducts in this textbook are intended to providestudents with a sense of the real-world applicationsof mathematics and are in no way intended toendorse specific products.

The publisher wishes to thank the staff andstudents of Greenway School and Roberta BondarPublic School for their assistance with photography.

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CC

Consultants, Advisers, and Reviewers

Series Consultants

Trevor BrownMaggie Martin Connell Craig FeatherstoneJohn A. Van de WalleMignonne Wood

Assessment ConsultantSharon Jeroski

Aboriginal Content ConsultantRhonda ElserCalgary Catholic Separate School District

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Alberta

Joanne AdomeitCalgary Board of Education

Bob BerglindCalgary Board of Education

Jason BindingCalgary Arts Academy Charter School

Jacquie BouckLloydminster Public School Division 99

Auriana BurnsEdmonton Public School Board

Daryl ChichakEdmonton Catholic School District

Lissa D’AmourMedicine Hat School District 76

Greg ForsythEdmonton Public School Board

Florence GlanfieldUniversity of Alberta

Wendy JensenCalgary Catholic

Jodi MackieEdmonton Public School Board

Melody M. MoonNorthern Gateway Public Schools

Jeffrey TangCalgary R.C.S.S.D. 1

British Columbia

Sandra BallSchool District 36 (Surrey)

Lorraine BaronSchool District 23 (Central Okanagan)

Donna BeaumontSchool District 41 (Burnaby)

Bob BelcherSchool District 62 (Sooke)

Jennifer York EwartSchool Dictrict 83 (North Okanagan Shuswap)

Denise FlickSchool District 20 (Kootenay-Columbia)

Marc GarneauSchool District 36 (Surrey)

Blair LloydSchool District 73 (Kamloops)

Selina MillarSchool District 36 (Surrey)

Lenora MillikenSchool District 70 (Alberni)

Sandy SheppardVancouver School Board

Chris Van BergeykSchool District 23 (Central Okanagan)

Denise VuignierSchool District 41 (Burnaby)

Mignonne WoodFormerly School District 41 (Burnaby)

Judy ZachariasSchool District 52 (Prince Rupert)

Advisers and Reviewers

Pearson Education thanks its advisers and reviewers, who helped shape the vision for Pearson

Mathematics Makes Sense through discussions and reviews of prototype materials and manuscript.

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Manitoba

Heather AndersonLouis Riel School Division

Rosanne AshleyWinnipeg School Division

Neil DempseyWinnipeg School Division

Antonio Di GeronimoWinnipeg School Division

Holly ForsythFort La Bosse School Division

Margaret HandPrairie Rose School Division

Steven HuntArchdiocese of St. Boniface

Ralph MasonUniversity of Manitoba

Christine OttawaMathematics Consultant, Winnipeg

Gretha PallenFormerly Manitoba Education

Gay SulFrontier School Division

Alexander WallRiver East Transcona School Division

Northwest Territories

Brian W. KardashSouth Slave Divisional Education Council

Saskatchewan

Susan BeaudinFile Hills Qu’Appelle Tribal Council

Douglas DahlRegina Public Schools

Edward DoolittleFirst Nations University of Canada

Carol GerspacherGreater Saskatoon Catholic School Division

Lori Jane HantelmannRegina School Division 4

Angie HardingRegina R.C.S.S.D. 81

Kristi NelsonPrairie Spirit School Division

Trish ReevePrairie Spirit School Division

Cheryl ShieldsSpirit School Division

Victor StevensonRegina Pub ic Schools

Randy StrawsonGreater Saskatoon Catholic School Division

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Table of Contents

Investigation: Palindromes 2

U N I T Patterns and Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Launch Crack the Code! 4Lesson 1 Input/Output Machines 6Lesson 2 Patterns from Tables 11Lesson 3 Strategies Toolkit 16Game What’s My Rule? 18Lesson 4 Using Variables to Describe Patterns 19Lesson 5 Plotting Points on a Coordinate Grid 24Lesson 6 Drawing the Graph of a Pattern 29Lesson 7 Understanding Equality 33Lesson 8 Keeping Equations Balanced 36Unit Review Show What You Know 40Unit Problem Crack the Code! 42

U N I T Understanding Number

Launch At the Apiary 44Lesson 1 Exploring Large Numbers 46Lesson 2 Numbers All Around Us 51Lesson 3 Exploring Multiples 55Lesson 4 Prime and Composite Numbers 59Lesson 5 Investigating Factors 63Game The Factor Game 67Lesson 6 Strategies Toolkit 68Lesson 7 Order of Operations 70Lesson 8 What Is an Integer? 74Lesson 9 Comparing and Ordering Integers 78Unit Review Show What You Know 82Unit Problem At the Apiary 84

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U N I T Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Launch Harnessing the Wind 86Lesson 1 Numbers to Thousandths and Beyond 88Lesson 2 Estimating Products and Quotients 92Lesson 3 Multiplying Decimals by a Whole Number 95Lesson 4 Multiplying a Decimal Less than 1 by a Whole Number 99Lesson 5 Dividing Decimals by a Whole Number 103Lesson 6 Dividing Decimals 108Lesson 7 Dividing a Decimal Less than 1 by a Whole Number 112Game Make the Lesser Product 115Lesson 8 Strategies Toolkit 116Unit Review Show What You Know 118Unit Problem Harnessing the Wind 120

Cumulative Review 1–3 122

U N I T Angles and Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Launch Designing a Quilt Block 124Lesson 1 Naming Angles 126Lesson 2 Exploring Angles 130Lesson 3 Measuring Angles 133Lesson 4 Drawing Angles 139Game Angle Hunt 143Lesson 5 Strategies Toolkit 144Lesson 6 Investigating Angles in a Triangle 146Lesson 7 Investigating Angles in a Quadrilateral 150Unit Review Show What You Know 154Unit Problem Designing a Quilt Block 156

Investigation: Ziggurats 158

U N I T

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U N I T Fractions, Ratios, and Percents . . . . . . . . . . . . . . . . . . . . . . . . . .

Launch Designing a Floor Plan 160Lesson 1 Mixed Numbers 162Lesson 2 Converting between Mixed Numbers and

Improper Fractions 166Game Fraction Match Up 170Lesson 3 Comparing Mixed Numbers and Improper Fractions 171Lesson 4 Exploring Ratios 176Lesson 5 Equivalent Ratios 180Lesson 6 Strategies Toolkit 184Lesson 7 Exploring Percents 186Lesson 8 Relating Fractions, Decimals, and Percents 190Unit Review Show What You Know 194Unit Problem Designing a Floor Plan 196

U N I T Geometry and Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . .

Launch Puzzle Mania! 198Lesson 1 Exploring Triangles 200Lesson 2 Naming and Sorting Triangles by Angles 205Lesson 3 Drawing Triangles 209Lesson 4 Investigating Polygons 214Lesson 5 Congruence in Regular Polygons 219Lesson 6 Strategies Toolkit 224Lesson 7 Perimeters of Polygons 226Lesson 8 Area of a Rectangle 231Lesson 9 Volume of a Rectangular Prism 235Game Beat the Clock! 239Unit Review Show What You Know 240Unit Problem Puzzle Mania! 242

Cumulative Review 1–6 244

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U N I T Data Analysis and Probability . . . . . . . . . . . . . . . . . . . . . . .

Launch Alien Encounters! 246Lesson 1 Using a Questionnaire to Gather Data 248Technology Using Databases and Electronic Media

to Gather Data 252Lesson 2 Conducting Experiments to Gather Data 255Lesson 3 Interpreting Graphs 259Lesson 4 Drawing Graphs 263Lesson 5 Choosing an Appropriate Graph 267Lesson 6 Theoretical Probability 271Lesson 7 Experimental Probability 276Technology Investigating Probability 280Game Game of Pig 281Lesson 8 Strategies Toolkit 282Unit Review Show What You Know 284Unit Problem Alien Encounters! 286

U N I T Transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Launch Art and Architecture 288Lesson 1 Drawing Shapes on a Coordinate Grid 290Lesson 2 Transformations on a Coordinate Grid 295Technology Using Technology to Perform Transformations 301Lesson 3 Successive Transformations 303Lesson 4 Combining Transformations 308Lesson 5 Creating Designs 313Lesson 6 Strategies Toolkit 318Technology Using a Computer to Make Designs 320Game Unscramble the Puzzle 321Unit Review Show What You Know 322Unit Problem Art and Architecture 324

Investigation: The Domino Effect 326

Cumulative Review 1–8 328

Illustrated Glossary 332

Index 346

Acknowledgments 350

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Pearson Math Makes Sense 6Welcome to

Find out what you will learn in the Learning Goals and important Key Words.

Math helps you understand what you see and do every day.

You will use this book to learn about the matharound you. Here’s how.

In each Unit:

• A scene from the world around you reminds you of some of the math you already know.

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Connect summarizes

the math. It often

shows a solution, or

multiple solutions, to a

question.

Then you

Show and Shareyour results with

other students.

You Explore an idea

or problem, usually

with a partner.

You often use materials.

In each Lesson:

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• Learn about strategies to help you solve problems ineach Strategies Toolkit lesson.

reminds you

to use pictures, words,

or numbers in your

answers.

Practice questions help you to use andremember the math.

In Reflect, think aboutthe big ideas of thelesson and about yourlearning style.

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• Check up on your learning in Show What You Know and Cumulative Review.

• The Unit Problem returns to the opening scene. It presents a problem to solve or a project to do using the math of the unit.

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• Explore some interesting math when you do the Investigations.

• You will seeGames pages.

• The Glossary is anillustrated dictionary ofimportant math words.

• Use Technology. Follow the instructions forusing a calculator or computer to do math.

Look for and .

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