Pupil’s Book - GoGuru · Pupil’s Book Dr Fong Ho Kheong • Gan Kee Soon • Chelvi Ramakrishnan • A P P R O V E D B Y M I N I ST R Y O F E D U C A T I O N • f o r u s e from

Maths 4B3rd Edition

Pupil’s Book

Dr Fong Ho Kheong • Gan Kee Soon • Chelvi Ramakrishnan

•AP

PRO

VE

DBY

MINISTRY OF EDUCATION

•

for use from 2016–2

020

(M)MPaHTB4B_TP.indd 1 8/14/15 4:01 PM

Guided Practice

1 Whatmixednumberdoesthefollowingrepresent?

1 8

1whole eighths

2 Themassofaboxofwashingpowderwas3kg.Themas

softwobarsof

soapwas110kg.W

hatwasthetotalmassoftheitems?

3

Thetotalmassoftheitemswas kg.

3 Findthemissingfractionsonthenumberline.

0 1

12

2 34

4 Whereare125and2

45onthenumberline?

013

525

15

45

2 3

5 Expresseachmixednumberinitssimplestform.

a 3810

b 2912

c 469

Maths Sharing

Thinkoffractionsineverydaysituations.

Sharethemwiththeclass.

Example

Iboughtaneraser.Itslengthwas412cm.

Workbook B:Practice 1, pages 5–6


9 Lesson 1 MixedNumbers

(M)MPaHTB4B_08.indd 9

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PrefaceMy Pals Are Here! Maths (3rd Edition) is a comprehensive, task-based and learner-centred programme designed to provide pupils with a solid foundation in mathematics and opportunities to become efficient problem solvers.

My Pals Are Here! Maths (3rd Edition) continues to make learning mathematics fun and rewarding through the use of engaging illustrations, photographs, hands-on activities and interactives that help reinforce and consolidate learning for pupils of different abilities.

For the Pupil: Challenge yourself to solve non-routine questions by applying relevant heuristics and thinking skills in Put on Your Thinking Cap!

The graph shows the number of guppies in a tank over a few months.

Num

ber o

f Gup

pies

Number of Guppies in the Tank

Months

0

14

4

8

1st 2nd 3rd 4th 5th 6th 7th

16

2

6

18

10

12

a During which 1-month interval was the increase in the number of guppies the greatest?b How many guppies were removed from the tank between the fourth and the fifth month?c How many guppies were added to the tank in the second month?d What do you think happened between the third and fourth month?

Workbook B: Put on Your Thinking Cap! page 164

Put on Your Thinking Cap!Put on Your Thinking Cap!

Chapter 14 Tables and Line Graphs162


7/14/15 4:33 PM

Share your thoughts with your teachers, create your own mathematics questions and become aware of your own mathematical thinking in Maths Sharing!

Maths Sharing Describe everyday events using the 24-hour clock.

Using the 24-hour clock, make a diary of your activities on a school day from the time you wake up to the time you go to bed. Example

Workbook B: Practice 1, pages 165 – 168

2 A movie ended at 22 05. It lasted 2 h 25 min. What time did the movie start?

? 20 05 21 05 22 05

1 h25 min 1 h

The movie started at .

3 Shirley took the MRT at Sembawang Station and reached Newton Station 26 minutes later. She arrived at Newton Station at 11 20. What time did she board the train at Sembawang Station?

10 30 ? 11 00 11 20 11 30

6 min 20 min

Shirley boarded the train at .

172 Chapter 15 Time


7/14/15 4:34 PM

Hands-on ActivityDivide decimals.

Work in pairs.

Use 10 1 0.1 0.01 0.001 .

1 Estimate the value of 4.6 4 2.

2 Your partner uses 101 0.1

0.01 0.001 to show 4.6 4 2.

3 Show the division and write its value as a decimal.

4 Compare the value in 2 with the value of 46 4 2. Wh

at do you notice?

Example

2 . 32 4 . 6

4660

2 3

2 4 64

660

5 Repeat 1 and 2 with the following.

a 0.84 4 2

b 0.93 4 3

c 3.2 4 2

d 6.25 4 5

e 2 4 5

f 5 4 2

App-tivity @ www.mceducation.com/sgs

tudent/mapp4

114 Chapter 11 The Four Operations of Decimals


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Master concepts learnt through engaging and interactive applets in App-tivity!

NEW!

Try practising new concepts learnt with help from your teacher in Guided Practice!

NEW!

(M)MPaHTB4B_Preface.indd 2 8/20/15 10:53 AM

Lesson

2 Solving Word Problems (2)Solving word problems involving decimalsLarryhad$12.45.Faridahhad$3.50morethanLarry.ExplainhowtofindhowmuchLarryandFaridahhadaltogether.

Be

fore you learn ...

1 Jamiestacked7similarMathematicstextbooks. Theheightofthestackwas5.95cm. a Whatwasthethicknessofeachtextbook? b Whatwastheheightofastackof9suchtextbooks? S

tep1 WhathaveIgatheredfromtheproblem?

Step2 HowdoIsolveit? Icandrawamodel.

Step3 WhatdoIneedtofind? Ineedtofindthethicknessofeachtextbook. Then,Ineedtofindtheheightof9suchtextbooks.

a ?

5.95cm

b

?

0.85cm

5.9570.85 0.8597.65 Thethicknessofeachtextbook Theheightofastackof9such was0.85cm. textbookswasabout7.65cm. S

tep4 HowcanIcheckmyanswers? Icanworkbackwardstocheckifmyanswersarereasonable.

Learn

How many books were in a stack? How tall was each stack?

123 Lesson 2 SolvingWordProblems(2)


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1 Findtheunknownlengthandareaofthere

ctangle.

Breadth7cmPerimeter32cm

Lengthcm

Area cm2

2 Findtheunknownsideandperimeterofthe

square.

Area81cm2

Length cm

Perimeter cm

3 Findtheareaandperimeterofeachofthef

ollowingfigures.

(Alllinesmeetatrightangles.)

a b

17cm

6cm 8cm

7cm

4cm

4m

3m

2m

3m

2m

4m

Chapter 13ReviewChapter 13 Review

Chapter 13 AreaandPerimeter

146


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NEW!Assess understanding when pupils apply concepts learnt in Review.

Introduce concepts through context-based tasks in Before you learn. At the end of each task, a question is posed to develop pupils’ creative and critical thinking skills.

NEW!

I have taken 3 out

of 12 cookies. What

fraction of the

cookies have I taken?

I have 4 quarters of a pizza. You have

2 quarters of a pizza. How many pizzas

do we have altogether?

1 MixedNumbers

2 ImproperFractions

3 ImproperFractionsand

MixedNumbers

4 ComparingandOrderingFractions

5 FractionofaSet

Lessons

Big Idea

Improper fractions and

mixed numbers are

used to name fractions

greater than 1 whole.

We have 112 pizzas

altogether.

Fractions8CHAPTER


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Use scenarios pupils can relate to in the chapter openers to capture their interest, provide an engaging introduction to the topics and jump-start learning.

NEW!For the Teacher:

Hands-on Activity

Workinpairs.

1 Readthedeparturetimefromthetable.Flight

number Destination Time of Departure from SingaporeTime of Arrival at DestinationSQ192 Penang 0805 0930SQ112 KualaLumpur 1510 1605MH630 KotaKinabalu 1705 1930MI368 Langkawi 1835 20002 Yourpartneridentifiesthedestinationfromthetableandreadsthearrivaltime.3 Switchroles.Repeat 1 and 2 .

4 Discusswhythe24-hourclockisusedinsteadofthe12-hourclockforflightschedules.

Readandwritetimeinthe24-hourclock.

Guided Practice

1 Writethefollowingtimesusingthe24-hourclock. a 8.30p.m. b 11.15p.m.

2 Expressthefollowingtimesusingthe24-hourclock. a 8.50a.m. b 11.25a.m. c 8.50p.m. d 7.40p.m.3 Expressthefollowingtimesusingthe12-hourclock. a 0735 b 1230 c 1840 d 2135168 Chapter 15 Time


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Carry out Hands-on Activity to promote active and collaborative learning. Where possible, pupils will complete station-based activities in rotating groups to best utilise class time.

(M)MPaHTB4B_Preface.indd 3 8/20/15 10:53 AM

8 Fractions 6 Lesson1 MixedNumbers 7 Lesson2 ImproperFractions 10 Lesson3 ImproperFractionsandMixedNumbers 14 Lesson4 ComparingandOrderingFractions 18 Lesson5 FractionofaSet 26

9 AdditionandSubtractionofFractions 37Lesson1 AddingandSubtractingFractions 38

Lesson2 WordProblems 44

10 Decimals 52 Lesson1 UnderstandingTenths 53 Lesson2 UnderstandingHundredths 58 Lesson3 UnderstandingThousandths 64 Lesson4 ComparingandOrderingDecimals 68 Lesson5 RoundingDecimals 77 Lesson6 FractionsandDecimals 82

11 TheFourOperationsofDecimals 89 Lesson1 Addition 90 Lesson2 Subtraction 96 Lesson3 Multiplication 104 Lesson4 Division 108

CONTENTS

(M)MPaHTB4B_Content.indd 2 8/20/15 8:54 AM

12 Decimals:WordProblems 118 Lesson1 SolvingWordProblems(1) 119 Lesson2 SolvingWordProblems(2) 123

13 AreaandPerimeter 130 Lesson1 RectanglesandSquares 131 Lesson2 CompositeFigures 138 Lesson3 WordProblems 143

14 TablesandLineGraphs 148 Lesson1 Tables 149 Lesson2 LineGraphs 155

15 Time 163 Lesson1 Seconds 164 Lesson2 24-HourClock 166

(M)MPaHTB4B_Content.indd 3 8/20/15 8:54 AM

I have taken 3 out of 12 cookies. What fraction of the cookies have I taken?

I have 4 quarters of a pizza. You have 2 quarters of a pizza. How many pizzas do we have altogether?

1 MixedNumbers2 ImproperFractions3 ImproperFractionsand

MixedNumbers4 ComparingandOrderingFractions5 FractionofaSet

Lessons Bi

g Idea

Improper fractions and mixed numbers are used to name fractions greater than 1 whole.

We have 112 pizzas

altogether.

Fractions8CHAPTER

(M)MPaHTB4B_08.indd 6 8/20/15 9:12 AM

Lesson

1 Mixed NumbersUnderstanding mixed numbers

1 Hafizhadtwobiscuits. Jessgavehimhalfabiscuit.

1 1 12

2 12 212

1half1whole1whole

Hafizhad212biscuits.

212isanexampleofa mixed number .

Whenyouaddawholenumberandafraction,yougetamixednumber.

Wesleyate1cupcake.Hethenatehalfofanothercupcake.Use 1

3

1 3

13toshowthenumberofcupcakesWesleyate.

Howwouldyouwritethenumberofcupcakeseaten?

Be

fore you learn ...

Learn

7 Lesson 1 Mixed Numbers

(M)MPaHTB4B_08.indd 7 8/20/15 9:12 AM

2 Ajugcontains1 410 ofstrawberrymilk.

1 410 1410

125

Expressthefractionpartinitssimplestform.

1 1

3 Numberlinescanbeusedtoshowmixednumbers.

0 13424

14 1

14 1

24 1

34

2 214 224 2

34

3

mixednumbers

410 =

25

÷ 2

÷ 2

The common factor of 4 and 10 is 2.

Hands-on Activity

Workinpairs.

1 Pickacardfromasetof 121 .

2 Use 13

1 3

13toshowthemixednumberonthecard.

3 Yourpartnerrepresentsthemixednumberonanumberline.

4 Switchroles.Repeat 1 to 3 .

Showmixednumbers.

8 Chapter 8 Fractions

(M)MPaHTB4B_08.indd 8 8/20/15 9:12 AM

Guided Practice

1 Whatmixednumberdoesthefollowingrepresent?

1

8

1whole eighths

2 Themassofaboxofwashingpowderwas3kg.Themassoftwobarsof soapwas 110 kg.Whatwasthetotalmassoftheitems?

3

Thetotalmassoftheitemswas kg.

3 Findthemissingfractionsonthenumberline.

011

22 3 4

4 Whereare125and245onthenumberline?

0 1

35

25

15

45

2 3

5 Expresseachmixednumberinitssimplestform.

a 3 810 b 2912 c 4

69

Maths Sharing

Thinkoffractionsineverydaysituations.Sharethemwiththeclass.

Example

Iboughtaneraser.Itslengthwas412cm.

Workbook B:Practice 1, pages 5–6


9 Lesson 1 Mixed Numbers

(M)MPaHTB4B_08.indd 9 8/20/15 9:12 AM

Lesson

2 Improper FractionsUnderstanding improper fractions

Be

fore you learn ...

1 Carinahassomestripsofribbon.

141quarter

242quarters

343quarters

444quarters

545quarters

44mor1m

34m

24m

14m

44and54areexamplesof improper fractions .

Thenumeratorisequaltoorgreaterthanthedenominator.

44

54

Improperfractionsareequaltoorgreaterthan1.

Learn

Juliehad2pizzas.Shecuteachpizzainto3equalslices.

Sheate4slices.Use 13

1 3

13torepresenttheamountofpizzaseaten.

10 Chapter 8 Fractions

(M)MPaHTB4B_08.indd 10 8/20/15 9:12 AM

Documents

Pupil’s Book - GoGuru · Pupil’s Book Dr Fong Ho Kheong • Gan Kee Soon • Chelvi Ramakrishnan • A P P R O V E D B Y M I N I ST R Y O F E D U C A T I O N • f o r u s e from