Math Makes Sense 6

365 Pages·2009·37.69 MB·English

Author Team

Ray Appel
Trevor Brown

Lissa D’Amour
Sharon Jeroski

Sandra Glanville Maurer
Peggy Morrow

Cynthia Pratt Nicolson
Gay Sul

With Contributions from

Nora 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

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page i

Publisher
Mike Czukar

Research and Communications Manager
Barbara Vogt

Publishing Team
Enid Haley
Claire Burnett
Lesley Haynes
Alison Rieger
Ioana Gagea
Lynne Gulliver
Ruth Peckover
Annette Darby
Stephanie Cox
Jane Schell
Karen Alley
Judy Wilson

Photo Research
Maria DeCambra
Monika Schurmann

Design and Art Direction
Word & Image Design Studio Inc.

Composition
Integra 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, and
permission should be obtained from the publisher
prior to any prohibited reproduction, storage in a
retrieval system, or transmission in any form or by
any means, electronic, mechanical, photocopying,
recording, or likewise. For information regarding
permission, write to the Permissions Department.

ISBN-13 978-0-321-49844-1
ISBN-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 this
book have been carefully edited and reviewed.
However, the publisher shall not be liable for any
damages resulting, in whole or in part, from the
reader’s use of this material.

Brand names that appear in photographs of
products in this textbook are intended to provide
students with a sense of the real-world applications
of mathematics and are in no way intended to
endorse specific products.

The publisher wishes to thank the staff and
students of Greenway School and Roberta Bondar
Public School for their assistance with photography.

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page ii

CC

Consultants, Advisers, and Reviewers

Series Consultants

Trevor Brown
Maggie Martin Connell
Craig Featherstone
John A.Van de Walle
Mignonne Wood

Assessment Consultant
Sharon Jeroski

Aboriginal Content Consultant
Rhonda Elser
Calgary Catholic Separate School District

iii

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page iii

iv

Alberta

Joanne Adomeit
Calgary Board of Education

Bob Berglind
Calgary Board of Education

Jason Binding
Calgary Arts Academy Charter School

Jacquie Bouck
Lloydminster Public School Division 99

Auriana Burns
Edmonton Public School Board

Daryl Chichak
Edmonton Catholic School District

Lissa D’Amour
Medicine Hat School District 76

Greg Forsyth
Edmonton Public School Board

Florence Glanfield
University of Alberta

Wendy Jensen
Calgary Catholic

Jodi Mackie
Edmonton Public School Board

Melody M. Moon
Northern Gateway Public Schools

Jeffrey Tang
Calgary R.C.S.S.D. 1

British Columbia

Sandra Ball
School District 36 (Surrey)

Lorraine Baron
School District 23 (Central Okanagan)

Donna Beaumont
School District 41 (Burnaby)

Bob Belcher
School District 62 (Sooke)

Jennifer York Ewart
School Dictrict 83 (North Okanagan Shuswap)

Denise Flick
School District 20 (Kootenay-Columbia)

Marc Garneau
School District 36 (Surrey)

Blair Lloyd
School District 73 (Kamloops)

Selina Millar
School District 36 (Surrey)

Lenora Milliken
School District 70 (Alberni)

Sandy Sheppard
Vancouver School Board

Chris Van Bergeyk
School District 23 (Central Okanagan)

Denise Vuignier
School District 41 (Burnaby)

Mignonne Wood
Formerly School District 41 (Burnaby)

Judy Zacharias
School 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.

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page iv

v

Manitoba

Heather Anderson
Louis Riel School Division

Rosanne Ashley
Winnipeg School Division

Neil Dempsey
Winnipeg School Division

Antonio Di Geronimo
Winnipeg School Division

Holly Forsyth
Fort La Bosse School Division

Margaret Hand
Prairie Rose School Division

Steven Hunt
Archdiocese of St. Boniface

Ralph Mason
University of Manitoba

Christine Ottawa
Mathematics Consultant,Winnipeg

Gretha Pallen
Formerly Manitoba Education

Gay Sul
Frontier School Division

Alexander Wall
River East Transcona School Division

Northwest Territories

Brian W. Kardash
South Slave Divisional Education Council

Saskatchewan

Susan Beaudin
File Hills Qu’Appelle Tribal Council

Douglas Dahl
Regina Public Schools

Edward Doolittle
First Nations University of Canada

Carol Gerspacher
Greater Saskatoon Catholic School Division

Lori Jane Hantelmann
Regina School Division 4

Angie Harding
Regina R.C.S.S.D. 81

Kristi Nelson
Prairie Spirit School Division

Trish Reeve
Prairie Spirit School Division

Cheryl Shields
Spirit School Division

Victor Stevenson
Regina Pub ic Schools

Randy Strawson
Greater Saskatoon Catholic School Division

MMSWNCP6_FM_F.qxd 11/17/08 2:47 PM Page v

l

vi

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page vi

vii

Table of Contents

Investigation: Palindromes
2

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

Launch
Crack the Code!
4
Lesson 1
Input/Output Machines
6
Lesson 2
Patterns from Tables
11

Lesson 3
Strategies Toolkit
16

Game
What’s My Rule?
18
Lesson 4
Using Variables to Describe Patterns
19
Lesson 5
Plotting Points on a Coordinate Grid
24
Lesson 6
Drawing the Graph of a Pattern
29
Lesson 7
Understanding Equality
33
Lesson 8
Keeping Equations Balanced
36

Unit Review
Show What You Know
40

Unit Problem
Crack the Code!
42

U N I T
Understanding Number

Launch
At the Apiary
44
Lesson 1
Exploring Large Numbers
46
Lesson 2
Numbers All Around Us
51
Lesson 3
Exploring Multiples
55
Lesson 4
Prime and Composite Numbers
59
Lesson 5
Investigating Factors
63

Game
The Factor Game
67

Lesson 6
Strategies Toolkit
68
Lesson 7
Order of Operations
70
Lesson 8
What Is an Integer?
74
Lesson 9
Comparing and Ordering Integers
78

Unit Review
Show What You Know
82

Unit Problem
At the Apiary
84

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page vii

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

Launch
Harnessing the Wind
86
Lesson 1
Numbers to Thousandths and Beyond
88
Lesson 2
Estimating Products and Quotients
92
Lesson 3
Multiplying Decimals by a Whole Number
95
Lesson 4
Multiplying a Decimal Less than 1 by a Whole Number 99
Lesson 5
Dividing Decimals by a Whole Number
103
Lesson 6
Dividing Decimals
108
Lesson 7
Dividing a Decimal Less than 1 by a Whole Number
112

Game
Make the Lesser Product
115

Lesson 8
Strategies Toolkit
116

Unit Review
Show What You Know
118

Unit Problem
Harnessing the Wind
120

Cumulative Review 1–3
122

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

Launch
Designing a Quilt Block
124
Lesson 1
Naming Angles
126
Lesson 2
Exploring Angles
130
Lesson 3
Measuring Angles
133
Lesson 4
Drawing Angles
139

Game
Angle Hunt
143

Lesson 5
Strategies Toolkit
144
Lesson 6
Investigating Angles in a Triangle
146
Lesson 7
Investigating Angles in a Quadrilateral
150

Unit Review
Show What You Know
154

Unit Problem
Designing a Quilt Block
156

Investigation: Ziggurats
158

U N I T

viii

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page viii

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

Launch
Designing a Floor Plan
160
Lesson 1
Mixed Numbers
162
Lesson 2
Converting between Mixed Numbers and
Improper Fractions
166

Game
Fraction Match Up
170
Lesson 3
Comparing Mixed Numbers and Improper Fractions 171
Lesson 4
Exploring Ratios
176
Lesson 5
Equivalent Ratios
180

Lesson 6
Strategies Toolkit
184
Lesson 7
Exploring Percents
186
Lesson 8
Relating Fractions, Decimals, and Percents
190

Unit Review
Show What You Know
194

Unit Problem
Designing a Floor Plan
196

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

Launch
Puzzle Mania!
198
Lesson 1
Exploring Triangles
200
Lesson 2
Naming and Sorting Triangles by Angles
205
Lesson 3
Drawing Triangles
209
Lesson 4
Investigating Polygons
214
Lesson 5
Congruence in Regular Polygons
219

Lesson 6
Strategies Toolkit
224
Lesson 7
Perimeters of Polygons
226
Lesson 8
Area of a Rectangle
231
Lesson 9
Volume of a Rectangular Prism
235

Game
Beat the Clock!
239

Unit Review
Show What You Know
240

Unit Problem
Puzzle Mania!
242

Cumulative Review 1–6
244

ix

00_mms6_wncp_fm.qxd 2/25/09 9:14 AM Page ix

x

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

Launch
Alien Encounters!
246
Lesson 1
Using a Questionnaire to Gather Data
248

Technology
Using Databases and Electronic Media
to Gather Data
252
Lesson 2
Conducting Experiments to Gather Data
255
Lesson 3
Interpreting Graphs
259
Lesson 4
Drawing Graphs
263
Lesson 5
Choosing an Appropriate Graph
267
Lesson 6
Theoretical Probability
271
Lesson 7
Experimental Probability
276

Technology
Investigating Probability
280

Game
Game of Pig
281

Lesson 8
Strategies Toolkit
282

Unit Review
Show What You Know
284

Unit Problem
Alien Encounters!
286

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

Launch
Art and Architecture
288
Lesson 1
Drawing Shapes on a Coordinate Grid
290
Lesson 2
Transformations on a Coordinate Grid
295

Technology
Using Technology to Perform Transformations
301
Lesson 3
Successive Transformations
303
Lesson 4
Combining Transformations
308
Lesson 5
Creating Designs
313

Lesson 6
Strategies Toolkit
318

Technology
Using a Computer to Make Designs
320

Game
Unscramble the Puzzle
321

Unit Review
Show What You Know
322

Unit Problem
Art and Architecture
324

Investigation:The Domino Effect
326

Cumulative Review 1–8
328

Illustrated Glossary
332

Index
346

Acknowledgments
350

WNCP6_FM_F1.qxd 11/17/08 2:35 PM Page x

xi

Pearson Math Makes Sense 6

W

e

l

c

o

m

e

t

o

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 math
around you. Here’s how.

In each Unit:

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

00_mms6_wncp_fm.qxd 3/5/09 9:28 AM Page xi

xii

Connect summarizes
the math. It often
shows a solution, or
multiple solutions, to a
question.

Then you
Show and Share
your results with
other students.

You Explore an idea
or problem, usually
with a partner.
You often use materials.

In each Lesson:

00_mms6_wncp_fm.qxd 3/5/09 10:39 AM Page xii

xiii

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

reminds you
to use pictures, words,
or numbers in your
answers.

Practice questions
help you to use and
remember the math.

In Reflect, think about
the big ideas of the
lesson and about your
learning style.

00_mms6_wncp_fm.qxd 3/5/09 9:28 AM Page xiii

xiv

• 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.

WNCP6_FM_F1.qxd 11/17/08 2:36 PM Page xiv

xv

• Explore some interesting math when you do the Investigations.

• You will see
Games pages.
• The Glossary is an
illustrated dictionary of
important math words.

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

Look for and .

WNCP6_FM_F1.qxd 11/17/08 2:36 PM Page xv