Maths 3A3rd Edition

Pupil’s Book

Dr Fong Ho Kheong • Chelvi Ramakrishnan • Michelle Choo

•AP

PRO

VE

DBY MINISTRY OF EDUCATIO

N•

for use from 2015–2019

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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, games and interactives that help reinforce and consolidate learning for pupils of different abilities.

Let’s Explore!

Workinpairs.Foreachsum,findadigitthatwillresultinregroupinginthe

hundredsplace.Isyouranswerdifferentfromyourpartner’s?

Example1

4 2 0 0+ 2 0 0

Using the digit 81

4 2 0 0+ 2 8 0 0

0 0 0

Addthehundredsfirst.Regroup.

1

4 2 0 0+ 2 8 0 0

7 0 0 0

Then,addthethousands.Thesumis7000.

Using the digit 91

4 2 0 0+ 2 9 0 0

1 0 0

Addthehundredsfirst.Regroup.

1

4 2 0 0+ 2 9 0 0

7 1 0 0

Then,addthethousands.Thesumis7100.

1 5 0 0+ 2 6 0 0

2 2 4 0 0+ 3 0 0

3 6 8 0 0+ 2 0 0

If I put 1, 2, 3, 4, 5, 6 or 7 in the box, I cannot regroup the hundreds. Let me try 8 or 9.

The digit can be 8 or 9!

11 1

46 Chapter 2  Addition within 10 000

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

Perform investigative activities with Let’s Explore!

For the Pupil:

Discover exciting and interesting ways to have fun learning mathematics with Game!

Guided Practice

1 Subtract32from68. 68–32=

2 Findthedifferencebetween79and45. 79–45=

3 Subtractmentally. a 66–40= b 88–55= c 96–42= d 70–28= e 45–19= f 81–23= g 86–39= h 72–47=

Maths Sharing

Jeansolvedthefollowingmentally.a 67–43=24 b 94–58=36 c 80–24=56

Discusswithyourpartnerthedifferentwaysyouwouldusetofindtheanswers.Workbook A: Practice 4, pages 61–64

What are the different ways you can subtract?

Subtract38from90.90–38=?

30 8

Step 1 Subtract30from90. 90–30=60Step 2 Subtract8from60. 60–8=5290–38=52

I can also subtract 38 from 90 this way.Step 1 Subtract 38 from 40. 40 − 38 = 2 90

40 50

Step 2 Add 2 to 50. 50 + 2 = 52

90 − 38 = 52

70 Chapter 3  Subtraction within 10 000

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Guided Practice

1 Count.

100

100

100

10

10

1

1

1

1

1

1000

1000

1000

1000

1000 1000

1000,…2000,…3000,…4000,… ,… ,

…6100,… ,… ,

…6310,… ,

6321, , , ,

2 Writeinnumerals.

1

1

1

1000

1000

1000

1000

100

100

100

100

100

10

10

10

10

10

10

10

10

3 Writeinnumerals.

a fourthousand,sevenhundredandthirty-two

b sixthousand,eighthundredandnine

4 Writeinwords.

a 1469 b 2380

Workbook A: Practice 1, pages 5 – 8

Lesson 1  Counting to 10 000 11

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

NEW!

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

NEW!

Workbook A: Practice 6, pages 109–112

6 Findthemissingnumbers. a ×7=35 35÷7= 7× =35 35÷ =7 b ×4=24 24÷ =4 4× =24 24÷4=

c ×9=72 72÷9= 9× =72 72÷ =9

Game

1 Mixupthe 1×6 , 1×7 , 1×8 and 1×9 .Pickacard.

2 Theotherplayerswritethefamilyfactsofmultiplicationanddivisionforthemultiplicationcarddrawn. Example Card 39 isdrawn. Playerswrite 3×9=27 , 9×3=27 , 27÷3=9 and 27÷9=3 .3 Switchroles.Repeat 1 and 2 .

Afterfiverounds,theplayerwiththemostcorrectanswerswins!

Players: 2–4You need:• 1×6 , 1×7 , 1×8 and 1×9•pieceofpaper•pencil

108 Chapter 5  Multiplication Tables of 6, 7, 8 and 9

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

4penscost$5.Whatisthecostof32pens?

10 MrsYuprepared42currypuffsforaparty.

Sheplaced6currypuffsoneachplate.

Howmanyplatesdidsheuse?

11 Premahas$8.

Kaiweihas4timesasmuchmoneyasPrema.

HowmuchmoneydoesKaiweihave?$

12 Remygave72stickerstoChloeandMikhail.

Chloereceived7timesasmanystickersasMikhail.

HowmanystickersdidMikhailreceive?

Use to act out the question.

Workbook A: Maths Journal, page 119

Workbook A: Put on

Your Thinking Cap!

page 120

App-tivity @ www.mceducation.com/sgstudent/mapp3

116 Chapter 5  Multiplication Tables of 6, 7, 8 and 9

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(M)MPaHTB3A_Preface.indd 2 8/1/14 9:05 PM

Hands-on Activity

Station 1

Use 110100

1000

tohelpyou.

1 Use 100 toshowthesenumbers. a 300 b 600 c 10002 Use 1000 toshowthesenumbers.

a 4000 b 9000 c 100003 Use 100 and 1000 toshowthesenumbers. a 4300 b 7600 c 8900Station 2

1 Thereare500toothpicksinabundle.Thereare1000toothpicksintwobundles.Place1000toothpicksinaclearcontainer.

1000 toothpicks

AB

2 GuessthetotalnumberoftoothpicksinContainersAandB.3 Explainyouranswerin 2 .

500, … 1000

Chapter 1  Numbers to 10 00010

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Enjoy learning mathematics with My Pals Are Here! Maths (3rd Edition)!

Lessons 1 MultiplicationTableof6

2 MultiplicationTableof7

3 MultiplicationTableof8

4 MultiplicationTableof9

5 MultiplyingNumbers

6 DivisionUsingMultiplicationFacts

7 MultiplicationandDivision:

One-StepWordProblems

1CHAPTER Multiplication Tables

of 6, 7, 8 and 95CHAPTER

Big Idea

Known multiplication

facts can be used to

find other multiplication

and division facts.

We need 18 muffins

for our party. Are there enough?

How many strawberries will

we have if we buy 3 cakes?

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Use poems, stories and 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! Introduce concepts through context-based tasks that involve the use of manipulatives and other concrete materials in Learn. At the end of each task, thought-provoking questions are posed to develop pupils’ creative and critical thinking skills.

NEW!

Challenge pupils to solve non-routine questions by applying relevant heuristics and thinking skills in Put on Your Thinking Cap!

For the Teacher:

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.

Learn Skip-counting by 8sAshirthas8buttons.Use torepresentthenumberofbuttonsontheshirt.Skipcountby8stofindthetotalnumberofbuttonson6similarshirts.

Lesson

3 Multiplication Table of 8

1×8= 8 6×8=48

2×8=16 7×8=56

3×8=24 8×8=64

4×8=32 9×8=72

5×8=40 10×8=80

8,16,24,32,40,48,56,64,72,80

I count by 8s.

What is 0 × 8?

92 Chapter 5  Multiplication Tables of 6, 7, 8 and 9

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Let’s Explore!Use 4 , 5 , 6 and 7 tomake4-digitnumbers.

a Makeanumberwherethedigit5isinthehundredsplace.

b Makeanumberwherethedigit7isinthethousandsplace.

c Makeanoddnumberwherethedigit4isinthetensplace.

Put on Your Thinking Cap!

Put on Your Thinking Cap!

Workbook A: Put on Your Thinking Cap! page 24

Premawrotethree4-digitnumbersonapieceofpaper.

Sheaccidentallyspilledinkonthepaper.Usethecluesgiventofindthethree4-digitnumbers.

Firstnumber:Secondnumber:Thirdnumber:

Thedigitintheonesplaceofthefirstnumberisthegreatest

1-digitnumber.Thetotalofallthedigitsintheonesplaceis17.

Thedigitinthetensplaceofthesecondnumberis1morethan

thatofthefirstnumber.Thedigitinthetensplaceofthethirdnumberis4lessthan

thatofthesecondnumber.

CLUES

31

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Chapter 4 ReviewChapter 4 Review

1 Therewere2700adultsand1985childrenatashow.

Howmanypeoplewerethereattheshow?

2 Josephhad4000stamps.

Hegave2693stampstohissister.

Howmanystampsdidhehaveleft?

3 Samplanted4526bananatreesonhisfarm.

Heplanted2387fewerbananatreesthanTina.

HowmanybananatreesdidTinaplantonherfarm?

4 TheatreAhas3460seats.

TheatreBhas290fewerseatsthanTheatreA.

a HowmanyseatsdoesTheatreBhave?

b Whatisthetotalnumberofseatsinboththeatres?

5 MrsTanboughtapianoandanorgan.

Thepianocost$4770.

Theorgancost$3250lessthanthepiano.

HowmuchdidMrsTanpayaltogether?$

6 Therewere2954pupilsinaschool.

Therewere1082boys.

Howmanymoregirlsthanboyswerethereintheschool?

80 Chapter 4  Word Problems: Addition and Subtraction

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

(M)MPaHTB3A_Preface.indd 3 8/1/14 9:05 PM

CONTENTS1 Numbersto10000 6

Lesson1 Countingto10000 7 Lesson2 PlaceValues 12 Lesson3 ComparingandOrderingNumbers 16 Lesson4 NumberPatterns 23

2 Additionwithin10000 32Lesson1 SimpleAdditionwithin10000 33

Lesson2 AdditionwithRegroupinginOnesandTens 38 Lesson3 AdditionwithRegroupinginOnes,Tens

andHundreds 40 Lesson4 MentalAddition 43

3 Subtractionwithin10000 48 Lesson1 SimpleSubtractionwithin10000 49 Lesson2 SubtractionwithRegroupinginOnes,Tens

andHundreds 54 Lesson3 SubtractionwithRegroupinginOnes,Tens,

HundredsandThousands 61 Lesson4 MentalSubtraction 69

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4 WordProblems:Additionand Subtraction 72

Lesson1 WordProblems 73

5 MultiplicationTablesof6,7,8and9 82 Lesson1 MultiplicationTableof6 83 Lesson2 MultiplicationTableof7 88 Lesson3 MultiplicationTableof8 92 Lesson4 MultiplicationTableof9 96 Lesson5 MultiplyingNumbers 101 Lesson6 DivisionUsingMultiplicationFacts 104 Lesson7 MultiplicationandDivision:

One-StepWordProblems 109

6 Multiplication 117 Lesson1 MultiplicationwithoutRegrouping 118 Lesson2 MultiplicationwithRegroupinginOnes,

Tens,HundredsandThousands 122

7 Division 131 Lesson1 QuotientandRemainder 132 Lesson2 DivisionwithoutRegroupingand

Remainder 135 Lesson3 DivisionwithRegroupinginHundreds,

TensandOnes 139

8 WordProblemsInvolvingthe FourOperations 146

Lesson1 Two-StepWordProblemsInvolvingthe FourOperations 147

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Lessons 1 Countingto100002 PlaceValues3 ComparingandOrderingNumbers4 NumberPatterns

1CHAPTER

Numbers to 10 0001CHAPTER

Big Idea

Count, read, write, compare and order numbers to 10 000.

I participated in both marathons as well. It was much more crowded this year!

962 runners participated in My Pals’ Marathon last year. 3259 runners participated in the marathon this year.

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100, 200, 300, 400, 500, 600, 700, 800, 900, 1000!

Learn Counting to 10 000Amodelofafirestationismadeupof2658blocks.Use 1

101001000 tocountaloudandshowthenumberofblocks

usedinthemodel.

10 make1 .

10ten

10 make1 .

100onehundred

10 make1 .

1000onethousand

Lesson

1 Counting to 10 000

Lesson 1  Counting to 10 000 7

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10 maketen thousand .

2003twothousandandthree

1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10 000!

I can show 2003 this way too.

1000

1000

1

1

1

1000, … 2000, 2001, 2002, 2003 !

Chapter 1  Numbers to 10 0008

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1000, … 2000, … 3000, … 4000, … 4100, … 4200, … 4300 !

10

10

10

10

1000

1000

1000

3040threethousandandforty

1000, … 2000, … 3000, … 3010, … 3020, … 3030, … 3040 !

100

100

100

1000

1000

1000

1000

4300fourthousand

andthreehundred

10

10

10

100

100

1000

1000

1

1

1

110

10

1000

1000

1000

5254fivethousand,twohundred

andfifty-four

1000, … 2000, … 3000, … 4000, … 5000, … 5100, … 5200, … 5210, … 5220, … 5230, … 5240, … 5250, 5251, 5252, 5253, 5254 !

Lesson 1  Counting to 10 000 9

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Hands-on Activity

Station 1

Use 110100

1000 tohelpyou.

1 Use 100 toshowthesenumbers.

a 300 b 600 c 1000

2 Use 1000 toshowthesenumbers.

a 4000 b 9000 c 10000

3 Use 100 and 1000 toshowthesenumbers.

a 4300 b 7600 c 8900

Station 2

1 Thereare500toothpicksinabundle.Thereare1000toothpicksintwobundles.Place1000toothpicksinaclearcontainer.

1000

toothpicksA B

2 GuessthetotalnumberoftoothpicksinContainersAandB.

3 Explainyouranswerin 2 .

500, … 1000

Chapter 1  Numbers to 10 00010

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