Math Makes Sense HW Book

144 Pages·2011·7.58 MB·English

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Makes Sense

Practice and Homework Book

Reproducible Version

Authors
Peggy Morrow Maggie Martin Connell

PEARSON
Publisher
ike Casha

Resesreh and Goenrtunications Manager
Faibora ual

Publishing Team
Fri Haley
‘hie Bnet
Lasgy Haynes
Alon Rigger
fei Lin Cheung
Fath Paccowee
Lyne Gutiver
Stephane Cox
fae Schet
ran Mey
dy Wilson

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‘Copyright© 2009 Pearson Education Canada,
advison of Poarsen Canada ‘nc. Al Fights Reserved.

this arian is prota by copyright. and
ers suc bw abtsined From he publisher
por ay prohibited represuesian, stovage in
‘vtetrievel system. or ranemssion inary fonm or

boy me rans, clesranic. mechan’ ca photacanying
recurding kez. For neormation regarding
‘persion. writ othe Permlsons Department

ISBN 12: 972-0.2%-a6020-0
Isen-to: vaDisseae

Print and bound nana,

S6-h-191

PEARSON

'
Patterns and Equat

Lasso 1
Lesson 2
Lasecn 3
Cosern 5
‘eseon

Lesson

Whole Numbers ,

Lasson
tasson 2
Lasson3
teston
Lesson 5
Lesson 6
Lesson 7

Multiplying and Divi

Lesson t
Losson 2

Lasson3
Lasaon 4
Luasson 5
Lasson 6
tesann 7
Lesson
Lesson 9
Lesson 10

Number Patterns and Pattern Rules 2
Usig Paiuerns ta Solve Holes 4
Using a Variable to Describe a Pattern 6
Using a Variable to Wate an Equation 8
Solving Equations Involving Addition

and Subtesction 10
Solving Equations Involving Multiplication

and Division 12
Numbers to 100.000 4
Faplaring One Milion 16
Representing Numbers 18
Estimating Sums 20
Using Benchmarks to Estimate 2
Estimating Differences 2
Using Estimation to Check Answers 26

ing Whole Numbers

Patterns In Multiplication and Dvislon 2%
Other Strategies for Mukipixing and Dividing 30
Mutiplying with Multiples of 40 32
fstmating Praducts to Solve Problems 34
‘ying Mental Math to Aéuliply 36
‘Mutipying 2-Digit Numbers 38
Fstimating Quotient ks Snive Prableres 40

Dividing a 3-Digit Number by a 7-Digit Number 42
Other Strategies for Dividing Whole Numbers 4a
Solving Problems 46,
Measurement seveseseneeeeeeee
Lesion Measuring ienath 48
tasson——Fxpleciny Reston il Catal Pevimeters 50 oe
Lesson @ ——Explaring sec angles wilh Equal Areas 52
Lesson bxplring Volume 34
Lesson &—Measring olume in Cuble Cemenes 36
lasso? Conssucting Rectangular Prisms wich a

Given Volume se
Lesa Measuring Voluine in Cubic Mewes 6
tessa Explving CapariyeToe ates @
Lesson 10 exploring Capaciy-The pile a
Leseon Relating Copacly und Mili 6

Fractions and Decimals .

Lesson Tejuivalsnt Fractions 66
Lesson2 Comparing and Ordering Fractions 70
Lessard Heating Fractinns to Pecimals n
LessonS action and Decimal Benchmarks "4 |
Lesson6 Exploring Thousands 76
esson? Comparing and Ordering Decimals 7B
Lesson8 Using Decimals to Relare Units of Measure 80
lasson$ Relating Fractions and Decimats to Division 82
lessow 10 Estimating Sums and Differences, aa
Lesson 11 Aciding Decimals 36
Lesson 12 Subtracting Decimals 88
Lassow?3 Adding and Subtracting Decimals 90

Geometry..sescsesseeeeees

Lesson Describing Shapes 92
Lesaon2 Investigating Perpendicular Sides 3a
Lesson3 Investigating Quadilaterals, 96
Lessons Other Artvbutes of Quadhilaterals 98
Lesson8 —_Cxpiloring Paces and Edges of Objects 100
Lesson? raving Objects 102

|
Statistics and Probability ......-

Lesson 1 First-Hand Data and Secone-Hand Data
lassen2 interpreting Double Hat Graphs
Lasson3 Constructing Dauble Bar Graphs
Lesson The Language of Probably

Lasson5 [sing Spinners to Cormpare ikelihgods
Lesson Candueling Cxpinnesss

Lesson? Designing Experiments
Transformations.

Lesson? Translalicns

Lovouns Reflections

Lesson Rotations

Lessons —_Exploring Different Points of Rotation
‘Math at Home

104
106
108
110
nz
na
Ws

Ma
120
122
a

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To the Teacher

“Tis Pracsice ancl Famework Book provides reinforcement of the cont lls and skIIS
‘explured in the Pearson ath Aakes Sense § progrsm,

“Thane ane tw sa Ui in the book. The frst section follows the sequence of *Aath Makes
Sense 5 Student Book. It is intended for use theaughoot the year as you reach the program.
Jvtwo-page spread supports the content nf each ne lesson In che Studant Book

In each Lesson:

FEE ss: posinsone

ee reminc

Math at Home

The second section of the book.on pages 27 to 138, consists of 3 pull out Math at Home
rmayirines. These fun pages contain Tatriguing acivlles, puzzles. cymes anal games 10
encourage home involvemert The perforated design lets you remove, fol and send home
his eight-page magazine after the stucent has completed Units 3,6, and U,
To the Family

This book will help your child practise: the math concepts and skills that
have been explored in the assroom. As you assist your child to complete
each page, you have an opportunity to become iavalved in yaur child's
mathematical learning

The left page of each lesson contains a summary of the main concepts and
‘terminology of the lesson, Use this page with your child to review the.
work done in class, The right page contains practice,

Here are some ways you con help:
+ With your child, read over the Quick Review, Encourage your child ta
folk about the content and explain if to you in his or her own words,

+ Read the instructions with (or for) your child to ensure your chile
understands what to do

+ Encourage your child to explain his er her thinking.

+ Some of the pages require specific materials. You may wish to gather
items such as o centimetre ruler, index cards, a measuring tape,
scissors, nuinber cubes labelled 2 to 6, aid paper clips.

‘Many of the Practice sections contain games that will olgo improve your
child's math skills. You may have other ideas for activities your child can

share with the rest of the class,

“The Math at Home pull-out pages 127 to 138 provide more fun activities,

i
Number Patterns and
Pattern Rules

Quick Review

| > Here is a number pattern:

A pattern rules:

™ Start at 1, Add 1. Increase the number you add by 2 each time. :

A patter rile is:

“|

Start at 2. Alternately add 2, then add 3 L .

> Hore is another numbor pattern: 4,

4 Apattern rule is

*srarcat 4. Altemately add 4, then subtract 1

_ Try These. . . eee
1, Write the next 5 terms in cach pattern,

a) 25, 29, 30, 34,35,. nT . .

b) 3.4,6,9,13, A

©) 16,19,17,20,18,

2, Write the first 4 terms of each pattem.
a) Start at 6. Add 7 each time,

b) Start at 2. Alternately add 6, then subblract 2.
Practice ,

Use a calculator when it helps.
1. Write the next 4 Leras in each pattem, Wile each pattern rule
a) 100,125,120, 145, 140, , . :

Pattern rule:

bb) 85,81, 90, 86,95, : .

Pattern rule:

©) 36,72, 144,288,576, ,_

Pattern rule:

2. Weite the 61h Lerm of each pattern.

a) Start at 500. Altemately add 50, then subtract 15.

bb) Start at 85, Add 7.tncrease the number you acid by 3.cach time,
} Start at 763. Subtract 13 each time,

d) Start at 97, Alternately subtract 9, then add 2,

3. Start at 999, Write the first 7 terms of a pattern
Write the pattern rule.

Pattern:

Pattern rute:

Stretch Your Thinki

White the first 5 terms of as many different pattems as you can that start with
the terms 19, 24,
Using Patterns to
Solve Problems

Quick Review

1 One box holds 15 books. Number of Boxes] Number of Books| 1
>» How many books will 2 boxes 1 1s

H hole? 3 boxes? 4 boxes? 2 30 !
i Make a table. 3 e
Two boxes hold 30 books. 4 60

Three boxes hold 45 books.
Four boxes hold 60 books. < A pattern rule is:

[Multiply the number of boxes
by 15,

> Predict how many books
10 boxes will hold.

To predict the number af books 10 boxes will hold, multiply:
10X 15=150 Ten boxes will hokd 150 books.

Try Thess sectaee Lecce
1. One concert ticket costs $11 Number of Tickets Cost (si
a) Complete the table to find the cost of =
7 tickets. i
3 L.
bb) Write a pattern rule for the cost, 4

€) Predict the cost of 10 tickets. >]

) Extend the pattern. How many tickets

can you buy with $155? |

4 ete ranger recta erie eo