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.
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