RUKUN NEGARA
Bahawasanya Negara Kita Malaysia
mendukung cita-cita hendak:
Mencapai perpaduan yang lebih erat dalam kalangan
seluruh masyarakatnya;
Memelihara satu cara hidup demokrasi;
Mencipta satu masyarakat yang adil di mana kemakmuran negara
akan dapat dinikmati bersama secara adil dan saksama;
Menjamin satu cara yang liberal terhadap
tradisi-tradisi kebudayaannya yang kaya dan pelbagai corak;
Membina satu masyarakat progresif yang akan menggunakan
sains dan teknologi moden.
MAKA KAMI, rakyat Malaysia,
berikrar akan menumpukan
seluruh tenaga dan usaha kami untuk mencapai cita-cita tersebut
berdasarkan prinsip-prinsip yang berikut:
KEPERCAYAAN KEPADA TUHAN
KESETIAAN KEPADA RAJA DAN NEGARA
KELUHURAN PERLEMBAGAAN
KEDAULATAN UNDANG-UNDANG
KESOPANAN DAN KESUSILAAN
(Sumber: Jabatan Penerangan, Kementerian Komunikasi dan Multimedia Malaysia)
DUAL LANGUAGE PROGRAMME
MATHEMATICS
Year PART
2
Writers Editors
Chan Yook Lean Asmahanim binti Ab Rahman
Rosli bin Maun
Ganesh a/l Vellasamy Mohd Faizal bin Rus Rzerli
Translator
Norehan binti Mohamed Shaharoun
Graphic Designers Illustrator
Najmi bin Mat Sarit Wong Chi Ming
Aini binti Abd. Hamid
Awaludin bin Mohd Arof
Dewan Bahasa dan Pustaka
Kuala Lumpur
2017
Serial No.: 0158 ACKNOWLEDGEMENTS
KK 513-221-0102021-49-1839-20101 The Ministry of Education would like to express
ISBN 978-983-49-1839-2 its appreciation for the contributions made by
the following:
First Printing 2017
© Ministry of Education Malaysia 2017 • The Panel of Evaluators,
Textbook Division,
All Rights Reserved. No part of this publication Ministry of Education Malaysia.
may be reproduced or transmitted in any form or
by any means, electronic or mechanical, including • Officers of the Textbook Division
photocopying, recording, or any information and Curriculum Development Division,
storage and retrieval system without permission Ministry of Education Malaysia.
in writing from the Director General of Education,
Ministry of Education Malaysia. Negotiation is • The Panel of Evaluators,
subject to the calculation of royalty or honorarium. Dewan Bahasa dan Pustaka.
Published for the Ministry of Education Malaysia by: • Officers of the English Language Teaching
Centre (ELTC),
Dewan Bahasa dan Pustaka,
Jalan Dewan Bahasa, Teacher Education Division,
50460 Kuala Lumpur. Ministry of Education Malaysia.
Telephone: 03-21479000 (8 hunting lines)
Facsimile: 03-21479643 • SK Taman Bukit Maluri, Kuala Lumpur.
Website: http://www.dbp.gov.my
• SK Taman Tun Dr. Ismail 1, Kuala Lumpur.
Design and Typeset:
Dewan Bahasa dan Pustaka • SK Seri Iskandar, Perak.
Text Typeface: Azim • All parties involved in the process of
Text Size: 18 points publishing this book.
Printed by:
Percetakan Inderapura Sdn. Bhd.,
No. 12 & 14, Jalan 12/118B,
Desa Tun Razak,
56000 Cheras,
Kuala Lumpur.
CONTENTS
3 FRACTIONS AND DECIMALS 1
RECOGNISE FRACTIONS 2
WRITE FRACTIONS 4
COMPARE FRACTIONS 7
CONVERT FRACTIONS TO DECIMALS 10
COMPARE DECIMALS 13
COMPARE FRACTIONS AND DECIMALS 14
SOLVE IT 15
LET’S HAVE FUN 18
4 MONEY 19
RECOGNISE MONEY 20
VALUE OF MONEY 21
ADDITION OF MONEY 23
SUBTRACTION OF MONEY 26
MULTIPLICATION OF MONEY 29
DIVISION OF MONEY 31
MONEY LITERACY 33
LET’S EXPLORE 33
SOLVE IT 34
LET’S HAVE FUN 38
5 TIME 39
RECOGNISE MINUTES 40
SAY AND WRITE THE TIME 42
RECORD THE TIME 45
LET’S EXPLORE 46
RELATIONSHIP IN TIME 47
SOLVE IT 49
LET’S HAVE FUN 52
iii
6 LENGTH, MASS, AND VOLUME OF LIQUID 53
RECOGNISE UNITS OF CENTIMETRE AND METRE 54
MEASURE LENGTH OF OBJECTS AND DRAW 56
STRAIGHT LINES
ESTIMATE LENGTH OF OBJECTS 59
LET’S EXPLORE 60
RECOGNISE UNITS OF GRAM AND KILOGRAM 61
WEIGH THE MASS OF OBJECTS 63
ESTIMATE THE MASS OF OBJECTS 64
LET’S EXPLORE 65
RECOGNISE UNITS OF MILLILITRE AND LITRE 66
MEASURE VOLUME OF LIQUID 68
ESTIMATE VOLUME OF LIQUID 70
LET’S EXPLORE 71
SOLVE IT 72
LET’S HAVE FUN 76
7 SHAPES 77
IDENTIFY 3-D SHAPES 78
IDENTIFY BASIC SHAPES 80
RECOGNISE NETS OF 3-D SHAPES 81
IDENTIFY 2-D SHAPES 84
DRAW 2-D SHAPES 86
LET’S EXPLORE 87
SOLVE IT 88
LET’S HAVE FUN 90
8 DATA 91
COLLECT DATA 92
RECOGNISE BAR CHARTS 94
LET’S EXPLORE 95
SOLVE IT 97
LET’S HAVE FUN 100
iv
FRACTIONS AND
DECIMALS
I have cut this cake Wow!
into 3 equal parts. Equal size!
I get I get 1 out of 3
1 part. 1 part, too. parts is one
over three.
one over three
EACHENRO’TSES • Carry out simulations to explain the concept of fractions using suitable 3.1.1
material such as cakes and plasticine.
T 1
• Review fractions of one over two and one over four learnt in Year 1.
• Emphasise that fractions are equal parts of a whole.
RECOGNISE FRACTIONS
1 The part
taken out is
one over six.
1 numerator
6 over
denominator
one over six
2 Monday The fraction of the 16/4/2018
red coloured part.
One over two. One over five.
11
25
2 EACHENRO’TSES • Guide pupils to recognise proper fractions using fraction kits, paper 3.1.1
T folding, and others. 3.1.2
• Carry out activities to write proper fractions by naming orally and
using fraction picture cards and word cards.
• Surf www.mathsisfun.com/proper-fractions.html
3 I have not painted
3 out of 10 parts.
13.0 is still white.
Three over ten 3
10
4 Ali Who holds
Mei Mei the 5 card?
8
Why?
LET’S ANSWER d
1 Say the fraction of one part.
abc
2 What are the fractions of the blue coloured parts?
a bc d
T EACHENRO’TSES • Guide pupils to identify proper fractions using diagrams of different 3.1.1
AB 89-90 shapes and sizes.
3.1.2 3
• Emphasise that a fraction which has the same value for numerator
and denominator is not a proper fraction.
• Emphasise that the value of a proper fraction is less than 1.
WRITE FRACTIONS
1 Write the fraction of one part.
one over three
2 Tuesday 17/4/2018
I wrote
one over four.
1
4
I pasted two
two over four. over four
2
4
If 1 more part is pasted,
what is the fraction?
4 EACHENRO’TSES • Guide pupils to name proper fractions based on picture cards, paper 3.1.1, 3.1.2
T foldings, and fraction kits. Relate to daily activities such as painting 3.1.3, 3.1.4
and pasting.
• Emphasise that when the value of the numerator and denominator is
equal, the fraction is equal to 1.
3 I coloured I wrote the fraction for
the orange parts.
4 parts in orange.
5 other parts are Write the
fraction for the
in green. green parts.
4 four
9 over nine
4 I shaded three I shaded two over
over seven. seven using another
pattern.
5 Wednesday 2 18/4/2018
3
I coloured two 3 I shaded three
over three. 5 over five.
EACHENRO’TSES • Use various shapes of diagrams ranging from two to ten equal parts 3.1.2
AB 91 for shading, colouring, and pasting activities according to the given
T fractions. 3.1.3 5
3.1.4
• In groups, ask pupils to compile their work in a folio.
6 We shaded
seven over ten.
LET’S ANSWER
1 Write the fractions of the red coloured parts.
ab c
2 Write the fractions of the yellow coloured parts.
ab c
3 Write the fractions in words.
a 1 b 1 c 6 d 9
5 7 9 10
4 Write the fractions in numerals.
a one over five b one over ten
c two over eight d five over nine
6 EACHENRO’TSES • Guide pupils to represent fractions on paper folds. Emphasise that 3.1.2
T each fold must be equal in size. 3.1.3
3.1.4
• Surf www.mathgoodies.com/lessons/fractions
• Surf http://www.softschools.com/math/fractions/games/
AB 92 representing_fractions/
COMPARE FRACTIONS
1 These 2 parts are for Rishi.
I get
1 part.
Who got more parts of the cake? 2 parts
are more.
1
6 2
6
2 is larger than 1
6 6
Rishi got more parts of the cake.
2 Which fractions are smaller?
ab
42 35
55 66
2 is smaller 4 is smaller
5 than 5 than
EACHENRO’TSES • Guide pupils to compare proper fractions by drawing diagrams using 3.1.5
MS Word or Paint based on the given fractions.
T 7
• Emphasise that if the denominators are the same, the fraction with the
larger numerator has a bigger value.
3 Between 47 and 3 , which is more?
7
4
7
3
7
The red parts are more
than the blue parts.
4 is more than 3
7 7
4 Which is less,
3 1 or 41 ?
1
3
1 1 out of 4
4 parts is
smaller.
1 is less than 1
4 3
8 EACHENRO’TSES • Explain that the more parts there are in an object, the smaller is the fraction 3.1.5
value for each part.
T
• Provide more activities on comparing fraction values using shapes of
equal sizes.
• Surf https://www.ixl.com/math/grade-4/compare-fractions
5 Compare 21 and 1 10 . 1 is larger 1
2 than 10
1
2 11
10 2
1
10 Which is 1 1
smaller? 9 8
1 Discuss.
8
1
9
2 5 Mei Lin and Zali coloured
3 6 the fraction diagrams.
Whose coloured parts
Mei Lin Zali is larger?
LET’S ANSWER
1 Which is larger?
a 2 or 3 b 1 or 1
8 8 b 3 4
2 Compare.
a
1 and 3 4 and 6
6 6 5 9
EACHENRO’TSES • Carry out activities of comparing fractions using fraction kits, 3.1.5
AB 93 transparencies, and paper strips of equal sizes and shapes.
T 9
• Guide pupils to compare the values of fractions using number lines.
CONVERT FRACTIONS TO DECIMALS
1 The fraction of the white coloured
part is 1 1 0 . The fraction of tenths can
be converted to decimals.
1 1 10 in decimal is I say and write it as
10 zero point one. zero point one.
0.1
= 0.1 decimal
point
2 Monday 23/4/2018
Look at the red coloured parts.
Write 2 out of 10 parts in
decimal.
I wrote in I wrote in
words. numerals.
zero
point two
10 EACHENRO’TSES • Guide pupils to understand conversion of tenths fractions to decimals 3.2.1
T by using diagrams and paper foldings. 3.2.2
3.2.5
• Emphasise naming and writing decimals correctly by positioning the
decimal point between the ones value and the tenths value.
3 Tenths fractions and decimals on number line.
1 23456789
10 10 10 10 10 10 10 10 10
0 0.1 0.2 0.3 0.5 0.6 0.7 0.8 1
Convert to decimals.
a 2 b 4 c 6 d 9
10 10 10 10
a. 2 = 0.2 c. 1 6 0 = 0.6
10 d. 1 9 0 = 0.9
b. 14 0 = 0.4
4 I coloured I coloured 9
zero point four.
0.9 out of 10 parts.
0.4
T EACHENRO’TSES • Guide pupils to say and write zero point one until zero point nine 3.2.1, 3.2.2 11
AB 94-95 based on various diagrams, paper foldings, and number lines. 3.2.3, 3.2.4
• Emphasise that decimal values of proper fraction for tenths fractions are 3.2.5
less than 1.
• Guide pupils to cut the answers on page 95 AB.
Which is 0.5?
Why?
LET’S ANSWER
1 What fractions are the red coloured parts?
ab
2 What decimals are the blue coloured parts?
ab
3 Convert fractions to decimals.
a 1 b 5 c6 d 8
10 10 10 10
4 Which diagrams are correct for the decimals given?
a 0.6 ii iii
i
b 0.8 ii iii
i
12 EACHENRO’TSES • Prepare several sets of diagrams and paper strips which have been 3.2.1, 3.2.2
T divided into 10 equal parts for shading and colouring activities 3.2.3, 3.2.4
to represent the given decimals.
3.2.5
AB 96
COMPARE DECIMALS
1 Wednesday 25/4/2018
Which is smaller, 0.2 or 0.4?
0.2 Green is
0.4 less than
yellow.
So, 0.2 is smaller.
2 Which is larger, 0.5 or 0.8?
0.4 0.5 0.6 0.7 0.8 0.9 1 The value gets larger
as the decimals
0.8 is larger than 0.5. move to the right.
What decimals are larger than 0.5 but smaller
than 0.9?
LET’S ANSWER
Determine ‟smaller than” or ‟larger than”.
0.3 0.2 0.7
ab c
0.1 0.6 0.9
EACHENRO’TSES • Guide pupils to compare decimals using diagrams, fraction boards, 3.2.6
AB 97 and paper foldings.
13
T
COMPARE FRACTIONS AND DECIMALS
1 Thursday Which is larger? 26/4/2018
I shaded 3 I shaded more,
3 parts. 10 0.7 7 parts.
0.7 is more than 1 30 .
2 Let’s compare using a number line.
1 23456789
10 10 10 10 10 10 10 10 10
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
a 1 is equal 0.1 b 0.8 is more 3
10 to than 10
c 0.2 5 d 4 0.6
10 10
LET’S ANSWER
Compare. 4 0.2
a 10 b 1
0.9 10
14 EACHENRO’TSES
• Use ‟larger than”, ‟smaller than”, ‟more than”, ‟less than”, and 3.3.1
AB 98 ‟equal to” when comparing values.
T
• Guide pupils to compare tenths fractions and decimals by converting
tenths fractions to decimals and vice versa. Use fraction boards and
paper foldings too.
SOLVE IT
1 Muhi gave 3 out of 8 parts of
a cake to Mogan. What fraction
of the cake did Mogan get?
Method
3 parts 3 out of 8
parts is three
over eight.
Mogan got 38 of the cake.
2 HChisobnrgotahteer 61 a t oef 41a opfiztzhae. p izza.
Who ate a larger pizza?
Method Chong’s brother Chong
Draw a 1 41 tihsalan r g61 e .r
diagram. 6
Shade 1 part.
1
4
Chong’s brother ate a larger pizza, 4 1 .
EACHENRO’TSES • Train pupils to underline important information in the problems given. 3.4.1
• Guide pupils to solve problems through simulations.
15
T
3 Alia colours yellow and
purple on a pattern
as shown in the picture.
State the purple coloured
parts in decimal.
Method
Purple parts are 7 7 = 0.7
out of 10 parts. 10
The purple part is 0.7.
4 A piece of ribbon is Use Tie Make
gift flower
used as shown in the 6
10 0.4
table.
89
Which ribbon is longer? Length 10 10
Method of ribbon
Tie a gift
1 234567
10 10 10 10 10 10 10
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Make a flower
The ribbon to tie a gift is longer.
16 EACHENRO’TSES • Guide pupils to solve problems using models, drawing diagrams, 3.4.1
and simulations.
T
AB 99-100
LET’S ANSWER
Solve the problems.
1 Muna ate 5 out of 8 parts of
a chocolate. What fraction of
the chocolate did she eat?
2 Kevin coloured a 10-part number
wheel. He coloured it with yellow
and green alternately. State the
yellow parts in decimal.
3 Name: Santi Class: 2 Arif Santi coloured 4 parts.
Zamri coloured 1 part less
than Santi. What fraction
of the shape did Zamri
colour?
Gary and Chan shared a mooncake.
Gary ate 21 . Chan ate 4 1 .
Was the whole mooncake eaten?
T EACHENRO’TSES • Guide pupils to solve problems by drawing, shading, using paper 3.4.1
foldings, and number lines.
17
• Provide more written exercises in worksheets and question cards.
ET’S HAVE FUN
Lucky Cards
L
Materials/Resources
T
20 fraction and decimal cards
Front Back
1 0.8 8
5 10
Participants
3 pupils per group
Method
1 Place cards face down 2 The second player
on the table. opens one card. If any
The first player opens card matches, keep the
two cards. matching cards.
3 Take turns. Repeat 4 The player who collects
step 2. Play until all the most cards wins.
the cards are matched.
18 EACHENRO’TSES • Prepare sufficient cards for the activity. 3.1.1, 3.1.2
• Instil moral values such as honesty, integrity, patience, and tolerance. 3.1.5, 3.2.1
3.2.6, 3.3.1
AB 101-102
MONEY SPECIMEN
SPECIMEN
Mother, please SPECIMEN
keep this RM100
in the bank.
SPECIMEN
Sure. This money is
safer to be kept in a
bank account.
T EACHENRO’TSES • Encourage pupils to talk about the picture. Relate money to their daily life. 4.1.1 19
• Ask pupils to talk about the source of the money kept and the benefits
of saving money.
RECOGNISE MONEY The RM100
1 note is purple.
SPECIMEN SPECIMEN SPECIMEN
SPECIMEN SPECIMEN SPECIMEN The size of these
notes is not the
same.
All notes
have
pictures.
2 Value of money Hibiscus
SPECIMEN SPECIMEN SPECIMEN
SPECIMEN SPECIMEN SPECIMEN
Turtle
Talk about other things
you see on our notes.
LET’S ANSWER
Look at RM20, RM50, and RM100 notes.
What are their similarities?
20 EACHENRO’TSES • Guide pupils to state the characteristics of RM20, RM50, and RM100 4.1.1
notes.
T
• S urf http://www.bnm.gov.my/microsites/2011/banknotes/index.htm
• Surf https://www.slideshare.net/SYIZWANI/lembaran-kerja-numerasi-
AB 103 mata-wang
VALUE OF MONEY I pay with a
RM50 note.
1 This bag
costs RM50.
a Fifty ringgitSPECIMEN
RM50
b SPECIMEN Twenty ringgit
and ninety sen
RM20.90
SPECIMEN
c Thirty seven ringgit CONTOH
and fifty senCONTOH
SPECIMEN RM37.50
CONTOH
SPECIMEN SPECIMEN
Say the value of this money. SPECIMEN
Show it on the abacus.
EACHENRO’TSES • Emphasise the decimal point that separates ringgit and sen. 4.1.2
• Carry out simulations on the value of money up to RM100 using play
T 21
money involving single notes or coins and combinations of notes and coins.
• Guide pupils to write the value of money correctly. Emphasise that
5 sen is written as RM0.05.
SPECIMEN
2
2a has the same
value asSPECIMEN SPECIMEN
. 10 also has the
same value as .
SPECIMEN
Discuss other
SPECIMEN SPECIMENcombinations for this
SPECIMEN
value of money. SPECIMEN
b SCPOECNITMSOEPHNECIMSEPNECIMSEPNECIMEN
SCPOECNITMOEHN
SPECIMEN
RM72.65 SPECIMEN
LET’S ANSWER
1 Say the value of money.
a b
SPECIMEN SPECIMEN SPECIMEN
CONTOHSPECIMEN
2 Say the combination of money.
Value Number of notes/coins (pieces)
of money
SPECIMEN
SPECIMEN
SPECIMEN
SPECIMEN
SCPOECNITMOEHN
RM15.00
RM75.50
RM91 .35
22 EACHENRO’TSES • Carry out a simulation showing the value of goods such as groceries 4.1.2
and stationery using play money based on price tags within the
T range of RM100.
• In pairs, carry out money changing activities of the same value using
AB 104 play money.
ADDITION OF MONEY RM40
RM30
1 What is the total price of
the dictionary and the pen?
RM40 + RM30 =
RM 4 0
+ RM 3 0
RM 7 0
SPECIMEN SPECIMEN
SPECIMENSPECIMENSPECIMEN
RM40 + RM30 = RM70
The total price of the dictionary and the pen is RM70.
2 Calculate the total price of the cake and the card.
RM68.10 + 80 sen =
80 sen can RM 6 8 . 1 0 RM68.10 80 sen
be written as + RM 0 . 8 0
RM 6 8 . 9 0
RM0.80.
ringgit sen
Add the value in sen
first. Then, add the
value in ringgit.
RM68.10 + 80 sen = RM68.90
The total price of the cake and the card is RM68.90.
EACHENRO’TSES • Carry out buying and selling activities in the classroom. Guide pupils 4.2.1
T to add the value of money in notes and coins. 23
• Train pupils to add using the ‘counting on’ method and abacus.
• Emphasise that the decimal point between the ringgit and sen must be
kept in line.
3
a What is the total price for sets B and D?
RM24.80 + RM56.70 =
RM sen 150 sen is
RM1.50.
1 1
2 4 8 0
+ 5 6 7 0
8 1 5 0
1 5 0 sen
RM24.80 + RM56.70 = RM81.50
The total price for sets B and D is RM81.50.
b Find the total price of sets A, B and C.
RM9.90 + RM24.80 + RM34.80 =
1 1 1
RM 9 . 9 0 RM 3 4 . 7 0
+ RM 2 4 . 8 0 + RM 3 4 . 8 0
RM 3 4 . 7 0 RM 6 9 . 5 0
RM9.90 + RM24.80 + RM34.80 = RM69.50
The total price for sets A, B and C is RM69.50.
24 EACHENRO’TSES • Show the direct addition to add three values of money. 4.2.1
T • Carry out addition activities by combining different sets of food 4.2.2
to reinforce pupils’ understanding.
4 RM30 + RM41.90 + RM18.55 =
RM30 can 1 1
be written RM 3 0 . 0 0
as RM30.00. RM 4 1 . 9 0
+ RM 1 8 . 5 5
RM 9 0 . 4 5
RM30 + RM41.90 + RM18.55 = RM90.45
LET’S ANSWER
1 Total up. b RM5 1.30 c RM 6.10
a RM 20 + RM18.25 RM18.25
+ RM70
+ RM35.95
d RM47.05 + 65 sen =
e RM60.40 + RM19 + RM4.70 =
2 Look at the picture. Answer the questions below.
RM19.75 RM12 RM25.60 RM13.30
a Add the price of guavas and mangoes.
b Calculate the total price of bananas, mangoes, and
rambutans.
EACHENRO’TSES • Show various methods such as counting on, compensation method, 4.2.1
and fast calculation to add the values of money. 4.2.2
T 25
AB 105-106
SUBTRACTION OF MONEY RM90
1 What is the difference in price
between the purse and the trolley bag?
RM90 – RM20 = RM20
RM 9 0 CONTOH CONTOH CONTOH
– RM 2 0
RM 7 0 The difference
RM90 – RM20 = RM70 CONTOH
The price difference is RM70.
2 Subtract RM20.50 from RM74.80. Method 2
RM74.80 – RM20.50 = RM 7 4 . 8 0
Method 1 – RM 2 0 . 5 0
RM 5 4 . 3 0
SPECIMEN SPECIMEN SCPOECNITMOEHN
SCPOECNITMOEHN SCPOECNITMOEHN SCPOECNITMOEHN
Method 3
RM74.80 – RM20.50 = RM54.30
26 EACHENRO’TSES • Carry out a simulation to subtract money using a variety of methods. 4.3.1
T • Emphasise that in subtraction, the smaller value must be subtracted
from the larger value.
3 RM30 – RM25.70 = The total bill
is RM25.70.
RM sen
29 10 0
30 00
–25 70
4 30
RM30 – RM25.70 = RM4.30
4 S iti b ou ght Siti paid RM100. What is her
th ese toys . balance?
RM100 – RM19.90 – RM57.50 =
RM19.90 9 9 10 0 7 9 11 0
RM 1 0 0 . 0 0 RM 8 0 . 1 0
– RM 5 7 . 5 0
RM57.50 – RM 1 9 . 9 0
RM 2 2 . 6 0
RM 8 0 . 1 0
RM100 – RM19.90 – RM57.50 = RM22.60
Siti’s balance is RM22.60.
Let’s solve this.
RM100 – RM57.50 – RM19.90
What did you find?
T EACHENRO’TSES • Emphasise regrouping from ringgit to sen which involves RM1 equals 4.3.1 27
100 sen. 4.3.2
• Use a variety of terms related to subtraction in daily life such as
difference, give, and balance.
5 RM90 – RM53 – RM12.55 =
8 10 9 10
RM 9 0 . 0 0 6 10 0
RM 3 7 . 0 0
– RM 5 3 . 0 0 – RM 1 2 . 5 5
RM 3 7 . 0 0 RM 2 4 . 4 5
RM90 – RM53 – RM12.55 = RM24.45
LET’S ANSWER
1 Subtract. b RM14.60 c RM93.00 d RM64.80
– RM 3.10 – RM52.70 – RM 8.95
a RM78
– RM27
e RM49 – RM28 – RM6 =
f RM100 – RM16.15 – RM9 =
2 Look at the prices. Answer the questions.
RM30 90 sen RM87.50 RM45.90
a What is the difference in price between and ?
b Lim buys and . He pays RM100.
Calculate Lim’s balance.
28 EACHENRO’TSES • Carry out activities involving subtraction using sample receipts of items 4.3.1
T 4.3.2
bought to strengthen pupils’ understanding.
• Instil moral values related to spending money such as donations,
thriftiness, savings, and avoid wasting money.
AB 107-108
MULTIPLICATION OF MONEY RM8 RM8
RM8 RM8
1 What is the price for RM8 RM8
3 packets of jackfruit?
3 × RM8 =
Method 1 Method 2
RM8 + RM8 + RM8 = RM24
R M 8
× 3
RM24
3 × RM8 = RM24
The price for 3 packets of jackfruit is RM24.
2 Calculate the price of 4 .
4 × RM5 =
Method 1 RM5
RM 5 Method 2
× 4
SPECIMEN
SPECIMEN
SPECIMEN
SPECIMEN
RM20
RM0 RM5 RM10 RM15 RM20
4 × RM5 = RM20
The price of 4 is RM20.
T EACHENRO’TSES • Carry out multiplication of money using price tags in supermarket 4.4.1
catalogues.
29
• Carry out simulations using play money for repeated addition.
Relate to times tables.
3 Calculate the total price of the dragon fruits.
6 × RM10 =
RM 1 0 RM10 RM10 RM10
× 6 RM10
RM60 RM10 RM10
6 × RM10 = RM60
The total price of dragon fruits is RM60.
4 10 × RM9 = Calculate 5 x RM10
and 10 x RM5.
Method 1 Method 2 Discuss.
RM 9 10 × RM9 = RM90
× 1 0 10 × RM9 = RM90
RM90
LET’S ANSWER
1 Multiply.
a R M 3 b R M 4 c RM 5
× 4 × 6 × 8
2 Calculate the price.
R M7 R M8 a 4 b 2
RM 9 c 10
30 EACHENRO’TSES • Guide pupils to multiply money using repeated addition or times 4.4.1
tables.
T
• Provide more questions in worksheets or question cards.
AB 109
DIVISION OF MONEY
1 RM15 is given equally to
3 persons. How much money
does each person get?
RM15 ÷ 3 =
Method 1 Method 2
Ali
SPECIMEN RM 5
SPECIMEN
SPECIMEN 3 �RM15
Nina Adi – 15
RM15 ÷ 3 = RM5 0
Each person gets RM5.
2 RM30 ÷ 6 = 3 RM72 ÷ 9 =
RM 5 RM 8 Remember,
9 × = 72.
6 �RM30 9 �RM72
– 30 – 72
0
0
RM30 ÷ 6 = RM5
RM72 ÷ 9 = RM8
T EACHENRO’TSES • Train pupils to divide the value of money using receipts from food 4.5.1
and item purchases.
31
• Guide pupils to divide the value of money in vertical form. Relate it
to the topic of division of numbers.
4 The price of 7 kilograms of durians is RM63.
What is the price for 1 kilogram of durians?
RM63 ÷ 7 =
RM 9
7 �RM63
– 63
0
RM63 ÷ 7 = RM9
The price for 1 kilogram of durians is RM9.
5 RM60 ÷ 10 = 10 × 6 = 60
Method 1 Method 2
10 × RM 6 = RM60
RM 6
�10 RM60
– 60
0
RM60 ÷ 10 = RM6
LET’S ANSWER � �c 6 RM48 d 8 RM72
Divide.
f RM80 ÷ 10 =
� �a 4 RM24 b 5 RM20
e RM45 ÷ 5 =
32 EACHENRO’TSES • Emphasise that the division of money is the same as the division of 4.5.1
whole numbers.
T
• Guide pupils to use number lines to divide the value of money by 10.
AB 110
MONEY LITERACY
Zarif won a prize of RM300.
Congratulations! I want to
Thank you, save RM200,
madam.
father.
Good, Zarif.
Zarif plans for the money to be kept and to be spent.
Save inSPECIMEN Buy Is Zarif smart
bank RM200 SPECIMEN books in managing
RM50 his money?
Buy SPECIMEN
toys Why?
RM40 Prize
money
RM300
Donate to
orphans’ fund
RM10
LET’S EXPLORE
You get RM200 during Hari Raya. Record
the money to be kept and to be spent. Talk
about it with your classmates.
T EACHENRO’TSES • Emphasise the importance of planning and managing finances 4.6.1
AB 111
effectively to avoid spending beyond one’s means. 33
• Talk about the importance of education funds, education insurance,
unit trusts, and others for their future.
SOLVE IT Month June July
Saving RM27.50 RM51.80
1 James records
his savings.
What is the total?
RM27.50 + RM51.80 =
Method 1 1 . 5 0
RM 2 7
+ RM 5 1 . 8 0
RM 7 9 . 3 0
Method 2
SPECIMEN SPECIMEN SCPOECNITMOENH SCPOECNITMOENH
SPECIMEN SCPOECNITMOENH
Amount of money in notes: RM78.00
Amount of money in coins: + RM 1.30
Total: RM79.30
RM27.50 + RM51.80 = RM79.30
James’ total savings is RM79.30.
In August, James saves
RM16. Find his total savings
for the 3 months.
34 EACHENRO’TSES • Guide pupils to solve problems by drawing diagrams. 4.7.1
• Instil the value of increasing income through entrepreneurship and
T
saving.
• Encourage pupils to check their answers using simple methods.
2 Ana’s sister has RM90. She buys
a cake and a gift as shown in
the picture. Find her balance.
Has: RM90 RM54.60 RM27
Buys cake: RM54.60
Buys gift: RM27
RM90 – RM54.60 – RM27 =
Method Subtract successively to find
the balance of money.
8 9 10 0 2 15
RM 9 0 . 0 0 RM 3 5 . 4 0
– RM 5 4 . 6 0 – RM 2 7 . 0 0
RM 3 5 . 4 0
RM 8 . 4 0
RM90 – RM54.60 – RM27 = RM8.40
Her balance is RM8.40.
I check using 2 1
addition.
RM 5 4 . 6 0
RM 2 7 . 0 0
+ RM 8 . 4 0
RM 9 0 . 0 0
T EACHENRO’TSES • Carry out simulation using play money to solve problems involving 4.7.1
money.
35
• Train pupils to underline important information and to write number
sentences for the problems given.
3 The payment for washing a car is
RM9. How much is the payment
for washing 5 cars?
Wash 1 RM9
Wash 5 5 × RM9
5 × RM9 =
Method 1 Method 2
RM 9 RM
× 5 0 9 18 27 36 45
RM45 5 × RM9 = RM45
The total payment is RM45.
4 The profit for selling drinks is RM18. Nancy and Kavita
share it equally. How much does each person get?
RM18 ÷ 2 =
Method
RM 9 RM18 ÷ 2 = RM9
2 �RM18
– 18
0
Each person gets RM9.
36 EACHENRO’TSES • Solve the problems given using suitable methods. 4.7.1
• Emphasise step-by-step problem solving using Polya’s Method.
T
AB 112
LET’S ANSWER
Solve the problems.
1 Rozana has RM35.70. Her father gives her RM45 more.
Find the total amount of money Rozana has.
2 Zain wants to buy a toy car as in RM87.90
the picture. He has RM100.
What is his balance?
3 The picture shows the price of a pair of slippers and trousers.
a Mother buys 3 pairs of trousers. Find the
total amount she pays.
b Calculate the cost of 2 pairs of slippers. RM2 RM8
4 RM48 is divided equally among 6 people.
How much money does each person get?
5 Look at the picture. What is the The total cost is
RM53, madam.
combination of money that Zami’s
mother may use to pay the
amount?
EACHENRO’TSES Falisa has 7 pieces of RM5 notes 4.7.1
and 6 pieces of RM10 notes. Is
her money more than RM100? 37
Explain.
• Provide more exercises in worksheets and question cards.
T
ET’S HAVE FUN
L
Money Smart
T
Materials/ Participants
Resources
task cards, 4 pupils per
table of tasks, group
scissors, glue,
goods brochure
Method Goods brochure
1 Pick one task card and read it.
2 Complete the task in the table of task.
3 Present your group work.
Examples of task cards
Find Find 2 items The price for
2 items with with the price 1 item is RM5.
a total price Find the total
difference
of less of more than price for
than RM10. 5 items.
RM12.
Example of table of task Answer Calculate
No. Task 1
Find 2 items
RM3.99
1 with a total + RM5.90
price of less
than RM10. RM9.89
38 EACHENRO’TSES • Prepare a task table and four task cards which involve addition, 4.2
subtraction, multiplication, and division of money for each group. 4.3
4.4
• Provide appropriate goods brochures for this activity. 4.5
AB 113-114
TIME
Father, what are the Oh, these are minute
lines between these graduations.
numbers?
T EACHENRO’TSES • Ask pupils to talk about their background knowledge related to the topic 5.1.1
of time learnt in Year 1.
39
• Discuss the characteristics of an analogue and a digital clock.
RECOGNISE MINUTES There are 5
1 1 graduation 1 minute graduations
5 minutes between 12
is 1 minute.
and 1.
That is
5 minutes.
2a b How many
minutes is it?
10 minutes
3 This is a quarter of 5, 10, 15.
an hour. How many 15 minutes.
5
minutes is it? 10
15
quarter hour = 15 minutes
40 EACHENRO’TSES • Guide pupils to count graduations for minutes using clock models 5.1.1
such as wall clocks and watches.
T
• Discuss activities that can be carried out in 1 minute, 5 minutes,
15 minutes, and others.
4a From 12 to 6 is The minute hand moves
half an hour.
b in one complete circle.
Half an hour = 30 minutes 1 complete00:9= 60 minutes
circle
Is this 40 minutes? Scan
Discuss. me
9:00
LET’S ANSWER
1 Say how many minutes.
a b c
2 Complete these.
a 40 graduations is minutes.
b When the minute hand moves from 12 to 7 it means
minutes.
c minutes is when the minute hand moves from
12 to 11.
EACHENRO’TSES • Ask pupils to count in fives and relate it to the 5 times table. 5.1.1
• Surf https://www.youtube.com/watch?v=qJIgqMcrFoE
41
T
AB 115-116
SAY AND WRITE THE TIME
1 What is the time now?
A quarter past five.
Five fifteen.
2 Ten
o’clock.
Five minutes
past eight.
1112 1
10 2
93
84
765
• Carry out a simulation to say the time using a model of an analogue
42 EACHENRO’TSES and a digital clock. 5.1.2
T • Emphasise the correct reading of time and the positions of the hour 5.1.3
and minute hands for the time that is shown.
• Explain the position of the hour, minute, and colon on digital clocks.
3 We usually say it as
half past two.
Two thirty.
4 10/5/2018
Thursday
Convert time from words to numerals.
five minutes four forty seven fifty five
past twelve
4:40 7:55
12:05
T EACHENRO’TSES • Emphasise how to state time in multiples of five minutes. 5.1.2
• Carry out activities to convert time from words to numerals using
5.1.3 43
flash cards, analogue, and digital clock models.
5 Write in words.
Lim, that is incorrect.
LET’S ANSWER Are these two times
1 Say the time. the same? Discuss.
ab c
2 Convert the time into numerals.
a Eleven twenty b A quarter past two
3 Convert the time into words.
ab c
44 EACHENRO’TSES • Emphasise the correct writing of time in multiples of 5 minutes. 5.1.2
T • Carry out activities to convert time from numerals to words using flash 5.1.3
cards, analogue, and digital clock models.
• Inculcate the attitude of spending time with beneficial activities.
AB 117-118
RECORD THE TIME Morning
Let’s record the time
and the activities.
Exercise
Evening MY SCHOOL Blow balloons
TELEMATCH Afternoon
Treasure hunt Lunch
Play congkak
Time Activity Record the
times and
7:45 in the morning Exercise the activities
for Sunday.
Blow balloons
12:00 in the afternoon
3:25 in the afternoon
Treasure hunt
T EACHENRO’TSES • Ask pupils to talk about and record their daily activities in school and 5.1.4
after school. 45
• Discuss pupils’ sequence of events during weekends or school
holidays.