Practice and Homework Book - MISS DAVIES' CLASSROOM
Practice and Homework Book
Author Team
Ray Appel Robert Berglind Susan Ludwig
David Sufrin
Publisher Claire Burnett
Elementary Math Team Leader Diane Wyman
Publishing Team Lesley Haynes Enid Haley Ioana Gagea Lynne Gulliver Stephanie Cox Judy Wilson
Product Manager Kathleen Crosbie
Design Word & Image Design Studio Inc.
Typesetting Computer Composition of Canada Inc.
Copyright ? 2008 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: 978-0-321-43176-9 ISBN-10: 0-321-43176-6
Printed and bound in Canada.
3 4 5 -- WC -- 11 10 09 08 07
Contents
UNIT
1
UNIT
2
Patterns and Relations
Just for Fun. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Activating Prior Knowledge
Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Graphing on a Coordinate Grid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1 Patterns in Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 More Patterns in Division. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.4 Relationships in Patterns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.5 Patterns and Relationships in Tables . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.6 Graphing Relations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.7 Reading and Writing Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 1.8 Solving Equations Using Algebra Tiles . . . . . . . . . . . . . . . . . . . . . . . 22 In Your Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Unit Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Integers
Just for Fun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Activating Prior Knowledge
What Is an Integer?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 Comparing and Ordering Integers. . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.1 Representing Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.2 Adding Integers with Tiles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.3 Adding Integers on a Number Line . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 2.4 Subtracting Integers with Tiles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.5 Subtracting Integers on a Number Line . . . . . . . . . . . . . . . . . . . . . . . 41 In Your Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Unit Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
iii
UNIT
3
Fractions, Decimals, and Percents
Just for Fun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Activating Prior Knowledge
Mental Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Percent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.1 Fractions to Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.2 Comparing and Ordering Fractions and Decimals . . . . . . . . . . . . . . 52 3.3 Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.4 Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 3.5 Dividing Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 3.6 Order of Operations with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . 64 3.7 Relating Fractions, Decimals, and Percents . . . . . . . . . . . . . . . . . . . 66 3.8 Solving Percent Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 In Your Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 Unit Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
UNIT
4
Circles and Area
Just for Fun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 Activating Prior Knowledge
Perimeter and Area of a Rectangle . . . . . . . . . . . . . . . . . . . . . . . . . . 78 Using a Protractor to Measure Angles . . . . . . . . . . . . . . . . . . . . . . . 79 4.1 Investigating Circles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 4.2 Circumference of a Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.3 Area of a Parallelogram. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 4.4 Area of a Triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.5 Area of a Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 4.6 Interpreting Circle Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 4.7 Drawing Circle Graphs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 In Your Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 Unit Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
iv
UNIT
5
Operations with Fractions
Just for Fun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 Activating Prior Knowledge
Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 Relating Mixed Numbers and Improper Fractions . . . . . . . . . . . . . 105 5.1 Using Models to Add Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 5.2 Using Other Models to Add Fractions . . . . . . . . . . . . . . . . . . . . . . . 109 5.3 Using Symbols to Add Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 5.4 Using Models to Subtract Fractions . . . . . . . . . . . . . . . . . . . . . . . . . 115 5.5 Using Symbols to Subtract Fractions . . . . . . . . . . . . . . . . . . . . . . . . 118 5.6 Adding with Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 5.7 Subtracting with Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . 123 In Your Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 Unit Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
UNIT
6
Equations
Just for Fun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 Activating Prior Knowledge
Writing Expressions and Equations . . . . . . . . . . . . . . . . . . . . . . . . . 130 Evaluating Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 6.1 Solving Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 6.2 Using a Model to Solve Equations . . . . . . . . . . . . . . . . . . . . . . . . . . 135 6.3 Solving Equations Involving Integers . . . . . . . . . . . . . . . . . . . . . . . 138 6.4 Solving Equations Using Algebra. . . . . . . . . . . . . . . . . . . . . . . . . . . 141 6.5 Using Different Methods to Solve Equations . . . . . . . . . . . . . . . . . 145 In Your Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 Unit Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149
UNIT
7
Data Analysis
Just for Fun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 Activating Prior Knowledge
Experimental Probability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 Theoretical Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 7.1 Mean and Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 7.2 Median and Range . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 7.3 The Effects of Outliers on Average. . . . . . . . . . . . . . . . . . . . . . . . . . 158 7.4 Applications of Averages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 7.5 Different Ways to Express Probability. . . . . . . . . . . . . . . . . . . . . . . 164 7.6 Tree Diagrams. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 In Your Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171 Unit Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172
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