Mathematics_Year_2_Part_1

Complete the table. Score Number Number of hits sentence 1 5 1 6 6×1=6 10 53 10 0 LET’S EXPLORE Method Find another two numbers that when multiplied will give the same answer. 9 1×9 12 4 × 3 3 × 6 18 6 × 4 24 T EACHENRO’TSES • In the HOTs activity, explain that the scores represent the members 2.3.1 93 AB 70 and the number of hits represents the groups. 2.3.2 • Ask pupils to remember the times tables in order to get answers in the Let’s Explore activity. • In groups, carry out a scrapbook project of times tables of 0 to 10.

LET’S EXPLORE Get It, Win It! Materials/Resources Participants bottle caps (with question 2 pupils and answer), pouch 3×3 2×7 6×8 9 14 48 Questions Answers Method 1 Take one question and ask your friend to answer it. Check the answer. 2 Your friend keeps the bottle cap if the answer is correct. Take turns. 3 The player who collects the most bottle caps wins. 94 EACHENRO’TSES • Prepare the bottle caps. Write questions and matching answers on 2.3.1 T stickers. Attach the questions to the outside and matching answers 2.3.2 to the inside. Place them all in the pouch. • Ask pupils to determine their turns before they start playing. • Emphasise the values of cooperation and honesty in the game.

DIVISION I put two muffins on each plate. 1 These I now have 5 plates. muffins are baked. 10 when divided into groups of two gives 5. 0 2 4 6 8 10 10 divided by 2 is 5. 10 divided by 2 is equal to 5. This is the number sentence. 10 ÷ 2 = 5 Total number Number of Number of 10 ÷ 2 = 5 of objects objects in groups each group EACHENRO’TSES • Guide pupils to understand the concept of division as a collection 2.4.1 AB 71 of objects to represent groups and members using concrete materials. T 95 • Introduce terms and symbols related to division.

2 6 satay are shared equally among 3 pupils. How many satay does each pupil get? 6 shared among three and each gets 2. 6 divided by 3 is 2. 6 divided by 3 is equal to 2. 6÷3 =2 Total number Number of Number of objects in of objects groups each group Can 2 pupils share 6 satay equally? Discuss. 96 EACHENRO’TSES • Guide pupils to understand the division concept as sharing equally 2.4.1 to represent groups and members using concrete materials. T • Surf http://www.snappymaths.com/division/earlydiv/interactive/ AB 72 sharing/sharingframe.htm

3 There are 8 pieces I give 4 pieces of jelly altogether. of jelly to Wendy. 8 1 time I give another – 4 1 time 4 pieces to Selvi. 4 – 4 0 04 8 2 48 –4 –4 8÷4= 2 –8 0 12 pieces of jelly are arranged in groups of six. How many 12 4 groups do we get? 4 4 – 0 1 time 1 time – T EACHENRO’TSES • Guide pupils to understand the concept of division as repeated 2.4.1 AB 73 subtraction using counters and base blocks. 97 • Surf http://www.homeschoolmath.net/teaching/md/division- multiplication.php

4 There are 18 pens. Each packet contains 6 pens. 18 pens How many do we get when 18 is divided by 6? 0 6 12 18 18 ÷ 6 = 3 What multiplied by 6 will give 18? 00:9 18 pens Scan me 9:00 0 6 12 18 18 ÷ 3 = 6 3 × 6 = 18 Complete × 3 = 18 this. 98 EACHENRO’TSES • Guide pupils to relate division with multiplication through simulation 2.4.1 activities using objects. T • Emphasise that division is an inverse of multiplication. AB 74 • Surf http://www.mathinenglish.com/worksheetview. php?id=3532&stid=70038

BUILD UP DIVISION TABLES 1 16 ÷ 2 = 8 × 2 = 16 16 lollipops 0 2 4 6 8 10 12 14 16 18 4 ÷ 2 = 2 10 ÷ 2 = 5 14 ÷ 2 = 18 ÷ = 9 2 16 ÷ 4 = 4 × 4 = 16 16 lollipops 0 4 8 12 16 20 24 28 32 36 8 ÷ 4 = 2 20 ÷ 4 = 5 28 ÷ 4 = 32 ÷ = 8 T EACHENRO’TSES • Guide pupils to construct 2 and 4 division tables using picture cards 2.4.1 and number lines. 99 • Discuss the relation between 2 and 4 division tables by counting back in twos and fours.

3 How many groups do we get when the fruits are divided into threes? 15 ÷ 3 = 5 0 3 6 9 12 15 3 1 5 15 ÷ 3 = 5 –15 0 0 3 6 9 12 15 18 21 24 27 6÷3=2 9÷3=3 12 ÷ 3 = 4 18 ÷ 3 = 6 21 ÷ 3 = 27 ÷ = 9 4 0 5 10 10 ÷ 5 = 2 0 5 10 15 20 25 30 35 40 45 15 ÷ 5 = 3 20 ÷ 5 = 4 30 ÷ 5 = EACHENRO’TSES • Guide pupils to build 3 and 5 division tables using base blocks and 2.4.1 picture cards. 100 T • Guide pupils to understand the relation between number lines and number sentences.

5 54 54 is divided by 6 54 ÷ 6 = 9 9 × 6 = 54 0 6 12 18 24 30 36 42 48 54 6÷6=1 12 ÷ 6 = 2 18 ÷ 6 = 3 24 ÷ 6 = 30 ÷ = 5 36 ÷ = 6 6 Put 49 marbles in sevens into the holes. We get 7 holes. 49 ÷ 7 = 7 0 7 14 21 28 35 42 49 56 63 7 ÷ 7 = 1 14 ÷ 7 = 2 21 ÷ 7 = 42 ÷ = 6 EACHENRO’TSES • Guide pupils to divide using objects such as batu seremban and 2.4.1 checkers in groups of 6 and 7. T 101 • Surf http://www.mathinenglish.com/worksheetview.php?id=860&stid =70005

7 There are 24 chicken wings altogether. Each skewer holds 8 chicken wings. 24 ÷ 8 = 3 0 8 16 24 32 40 48 56 64 72 8 ÷ 8 = 1 16 ÷ 8 = 2 48 ÷ 8 = 72 ÷ = 9 8 27 are grouped in nines. How many groups will there be? 1 There are 2 3 groups. 3 27 ÷ 9 = 3 0 9 18 27 36 45 54 63 72 81 18 ÷ 9 = 2 45 ÷ 9 = 5 54 ÷ 9 = 63 ÷ = 7 EACHENRO’TSES • Guide pupils to divide any number by 8 and 9 through repeated 2.4.1 AB 75-79 subtraction. 102 T • Ask pupils to build division table cards of 8 and 9.

LET’S ANSWER b Complete these. a 10 ÷ 5 = 18 ÷ 6 = c d 0 4 8 12 16 0 9 18 27 36 45 –4 –4 –4 –4 –9 –9 –9 –9 –9 16 ÷ = 45 ÷ = e 40 ÷ 5 = f 72 ÷ =9 9× = 72 × 5 = 40 g 24 ÷ 6 = h 21 5÷4 ÷÷÷ ÷ 9 ÷2= 3÷0 7 === 6 2.4.1 ÷ =2 103 T EACHENRO’TSES • Provide more practices in worksheets or question cards. • Provide a variety of activities such as cross number puzzles to strengthen pupils’ understanding.

DIVISION INVOLVING 1, 10 AND 0 1 I put fish in ones There are 3 bowls. into the bowls. 0 1 23 3÷1= 3 Any number –1 –1 –1 Check divided by 1 equals 3÷1= 3 the number itself. 3 ×1=3 2 30 eggs Each tray is filled with 10 eggs. There are 3 trays. 30 ÷ 10 = Method 1 tens ones Group in tens. We get 3 groups. Method 2 10 20 30 0 – 10 – 10 – 10 30 ÷ 10 = 3 104 T EACHENRO’TSES • Guide pupils to divide the numbers by 1 through simulation. 2.4.1 2.4.2 • Emphasise that when a number is divided by 1, the answer is the number itself.

3a 40 ÷ 10 = 4 0 10 20 30 40 10 20 30 40 50 60 70 b 0 10 ÷ 10 = 1 20 ÷ 10 = 2 50 ÷ 10 = 60 ÷ = 6 70 ÷ = 4a There are no biscuits left to share with So we do not get Rajan. any biscuit. 0÷2= 0 b 0÷4= 0 c 0 ÷ 9 = ? Check Check 0 ×4=0 ? × 9 = ? 0 divided by any number equals 0. T EACHENRO’TSES • Guide pupils to divide any number by 10 through simulation using 2.4.1 AB 80 objects and picture cards. 2.4.2 105 • Emphasise that when 0 is divided by a number, the answer is 0. Any number cannot be divided by 0.

5 Division tables 1 2 345 1÷1=1 2÷2=1 3 ÷ 3 = 1 4 ÷ 4 = 1 5 ÷ 5 = 1 2÷1=2 4÷2=2 6 ÷ 3 = 2 8 ÷ 4 = 2 10 ÷ 5 = 2 3÷1=3 6÷2=3 9 ÷ 3 = 3 12 ÷ 4 = 3 15 ÷ 5 = 3 4÷1=4 8÷2=4 12 ÷ 3 = 4 16 ÷ 4 = 4 20 ÷ 5 = 4 5÷1=5 10 ÷ 2 = 5 15 ÷ 3 = 5 20 ÷ 4 = 5 25 ÷ 5 = 5 6÷1=6 12 ÷ 2 = 6 18 ÷ 3 = 6 24 ÷ 4 = 6 30 ÷ 5 = 6 7÷1=7 14 ÷ 2 = 7 21 ÷ 3 = 7 28 ÷ 4 = 7 35 ÷ 5 = 7 8÷1=8 16 ÷ 2 = 8 24 ÷ 3 = 8 32 ÷ 4 = 8 40 ÷ 5 = 8 9÷1=9 18 ÷ 2 = 9 27 ÷ 3 = 9 36 ÷ 4 = 9 45 ÷ 5 = 9 6 divided by 3. 2 10 divided by 5. EACHENRO’TSES • Guide pupils to build division tables of 1 to 10. 2.4.1 • The animal pictures can be related to the learning of Science in topics 106 T such as tame and wild animals. • Surf http://www.teachingideas.co.uk/sites/default/files/ divisontablesjd.pdf

6 7 8 9 10 6 ÷ 6 = 1 7 ÷ 7 = 1 8 ÷ 8 = 1 9 ÷ 9 = 1 10 ÷ 10 = 1 12 ÷ 6 = 2 14 ÷ 7 = 2 16 ÷ 8 = 2 18 ÷ 9 = 2 20 ÷ 10 = 2 18 ÷ 6 = 3 21 ÷ 7 = 3 24 ÷ 8 = 3 27 ÷ 9 = 3 30 ÷ 10 = 3 24 ÷ 6 = 4 28 ÷ 7 = 4 32 ÷ 8 = 4 36 ÷ 9 = 4 40 ÷ 10 = 4 30 ÷ 6 = 5 35 ÷ 7 = 5 40 ÷ 8 = 5 45 ÷ 9 = 5 50 ÷ 10 = 5 36 ÷ 6 = 6 42 ÷ 7 = 6 48 ÷ 8 = 6 54 ÷ 9 = 6 60 ÷ 10 = 6 42 ÷ 6 = 7 49 ÷ 7 = 7 56 ÷ 8 = 7 63 ÷ 9 = 7 70 ÷ 10 = 7 48 ÷ 6 = 8 56 ÷ 7 = 8 64 ÷ 8 = 8 72 ÷ 9 = 8 80 ÷ 10 = 8 54 ÷ 6 = 9 63 ÷ 7 = 9 72 ÷ 8 = 9 81 ÷ 9 = 9 90 ÷ 10 = 9 36 ÷ 4 = 9 LET’S ANSWER Write three number sentences for the answers in . a b c 6÷1= 6 30 ÷ 5 = 6 68 9 T EACHENRO’TSES • Conduct a quiz answering division tables spontaneously. 2.4.1 • Provide more practices in worksheets or question cards. • Surf http://www.fun4thebrain.com/Division/snowyfriend.html 2.4.2 107

ET’S HAVE FUN L Riddle me. T Could you do me a favour? Help me to calculate If you are clever Divide eight by eight. Mathematics is fun Don’t we all agree? We have only begun Divide nine by three. Play a counting game Everyone can join too Answer correctly is the aim Divide ten by two. The answer is provided 00:9 But hidden from our eyes What number when divided by seven equals five? 9:00 Scan me EACHENRO’TSES • Guide pupils to solve the riddles. 2.4.1 • Surf http://www.topmarks.co.uk/Flash.aspx?f=sharingv2 108

MORE DIVISION 1 There are 7 cards. The cards are divided equally between 2 pupils. How many cards does each pupil get? What is the remainder? 7÷2= Method 1 remainder Method 2 3 remainder 27 –6 1 7 ÷ 2 = 3 remainder 1 Each pupil gets 3 cards. The remainder is 1 card. T EACHENRO’TSES • Carry out more activities to strengthen pupils’ understanding and 2.4.1 mastery involving division operations with remainders. 109 • Explain that 2 is a divisor and the remainder has to be less than the divisor. • Surf http://www.fun4thebrain.com/Division/snowyfriend.html

2 There are 20 mangoes. Pile the mangoes in sixes. How many piles do we have? How many mangoes are left? 20 ÷ 6 = 20 Method 1 3 remainder 6 20 – 18 Remember the 2 6 times table. Method 2 3 x 6 = 18. Number of piles 1 234 20 – 18 = 2. Number of 6 12 18 24 The remainder is 2. 20 ÷ 6 = 3 remainder 2 There are 3 piles of mangoes. There are 2 mangoes left. 110 EACHENRO’TSES • Guide pupils to divide numbers involving remainders using concrete 2.4.1 materials. T • Carry out a quiz that involves division questions using MS PowerPoint.

3 Divide 15 by 4. Method 2 15 ÷ 4 = 15 Method 1 – 4 3 remainder 11 1 time 4 15 – 4 7 1 time – 12 – 4 3 1 time 3 15 ÷ 4 = 3 remainder 3 remainder 4 Calculate the answer when 43 is divided by 5. 43 ÷ 5 = 43 ÷ 5 = 8 7 5 43 5 43 – 35 – 40 3 remainder 8 remainder 43 ÷ 5 43 ÷ 5 = 8 remainder 3 = 7 remainder 8 Which answer is correct? Why? T EACHENRO’TSES • Carry out an activity of dividing two digit numbers by one digit numbers 2.4.1 through simulations or quizzes. 111 • Surf http://www.homeschoolmath.net/worksheets/grade4/PDFs/ Division_Remainders_2to5.pdf

5 47 ÷ 7 = Remember the Method 7 times table. 6 6 x 7 = 42 7 47 – 42 5 remainder 47 ÷ 7 = 6 remainder 5 6 30 ÷ 8 = Method 1 Method 2 3 x 8 = 24 3 remainder 30 – 24 = 6. 8 30 The remainder – 24 is 6. 30 ÷ 8 = 6 3 remainder 6 30 ÷ 8 = 3 remainder 6 There are 20 matchsticks. A matchstick house needs 8 matchsticks. How many houses can be made? Calculate the remainder of matchsticks. 112 EACHENRO’TSES • Guide pupils to divide using concrete materials. 2.4.1 • Surf http://www.helpingwithmath.com/printables/worksheets/division/ T div0301division08.htm • Surf http://www.helpingwithmath.com/printables/worksheets/division/ div0301division09.htm

7 40 ÷ 9 = Method 2 Method 1 4 x 9 = 36 40 ÷ 9 = 4 remainder 4 4 remainder 9 40 8 – 36 Discuss the remainder 4 in each answer. 9÷9=1 12 ÷ 4 = 3 10÷9=1remainder 1 13÷4=3 remainder 1 11÷ 9 =1remainder 14÷4=3 remainder 12÷9=1 remainder 15÷4=3 remainder 13÷9=1remainder 4 16 ÷ 4 = 4 14÷9= 1remainder 15 ÷ 9 = 1 remainder 16÷9=1remainder 7 17 ÷9=1remainder 18 ÷ 9 = 2 T EACHENRO’TSES • Guide pupils to use times tables to solve the division. 2.4.1 • Emphasise that the remainder must be less than the divisor. • Surf http://www.homeschoolmath.net/worksheets/grade4/PDFs/ 113 Two_Digit_Division_Remainders.pdf

9 a 56 ÷ 10 = b 84 ÷ 10 = 5 8 10 5 6 10 8 4 – 50 – 80 6 remainder 4 remainder 56 ÷ 10 = 5 remainder 6 84 ÷ 10 = 8 remainder 4 c 99 ÷ 10 = 9 x 10 = 90 10 x 10 = 100 9 10 9 9 – 90 9 remainder 99 ÷ 10 = 9 remainder 9 31 ÷ 10 = 3 remainder 1 62 ÷ 10 = 6 remainder 2 75 ÷ 10 = 7 remainder 5 ÷ 10 = 9 remainder 8 114 EACHENRO’TSES • Provide more questions in various forms such as number sentences, 2.4.2 vertical forms, and situations. T • Surf http://www.homeschoolmath.net/worksheets/grade4/PDFs/ AB 81-82 Division_Remainders_2to10.pdf

LET’S ANSWER 1 Fill in the blanks. time a b 1 4 time 7 ÷ 3 = remainder – 6 8 – 6 14 ÷ 6 = remainder 2 Divide these. a b c 2 15 7 32 8 42 – – – remainder remainder remainder d 11 ÷ 4 = e 39 ÷ 5 = f 80 ÷ 9 = 3 Complete these. 11 10 34 Number of wheels Types of vehicles Number of vehicles Wheels remaining T EACHENRO’TSES • Train pupils to complete the number sentences with remainders 2.4.1 115 involving divisions of 2 to 10. 2.4.2 • Provide more exercises for division and multiplication basic facts so that pupils can calculate quickly. • Surf http://www.mathinenglish.com/worksheetview. php?id=1048&stid=70030

CREATE STORIES 1 There are 3 vases. 3 × 5 = 15 Each vase has 5 flowers. The total number of flowers is 15. 2 There are 18 apples. Nina’s 18 ÷ 9 = 2 mother puts 9 apples in each basket. So, there are 2 baskets of apples. 3 22 crayons are distributed to 3 pupils. Each pupil gets 22 ÷ 3 = 7 remainder 1 7 crayons. The remainder of the crayons is 1. 4 There are 9 tables. Each table has 8 guests. There 9 × 8 = 72 are guests altogether. 5 Liew’s father has 83 83 ÷ 10 = 8 remainder 3 mangosteens. He ties the mangosteens in bunches of tens. He gets bunches. There are mangosteens remaining. 116 EACHENRO’TSES • Ask pupils to create a story based on the number sentence. Accept 2.5.1 pupils’ stories based on mathematical logic. T AB 83-84

LET’S ANSWER 1 Create stories on multiplication. bicycles. a There are Each bicycle has 4 × 2 = 8 wheels. The total number of wheels is . b There are aeroplanes. Each aeroplane has children. There are children altogether. 4 × 3 = 12 2 Create stories on division. 16 balls are ab divided into 2 baskets. 3 Create stories from the number sentences. a b 6 × 10 = 60 28 ÷ 7 = 4 c 94 ÷ 10 = 9 remainder 4 EACHENRO’TSES • Guide pupils to create stories based on the picture related to daily 2.5.1 situations and the number sentences. 117 T

SOLVE IT 1 Arif bought 4 packets of 8 biscuits 8 biscuits biscuits. Each packet has 8 biscuits 8 biscuits 8 biscuits. Calculate the total number of biscuits. Method 1 packet has 8 biscuits. How many biscuits are there in 4 packets? Number sentence 4 × 8 = 4 Multiply. ×8 3 2 0 8 16 24 32 4 × 8 = 32 The total number of biscuits is 32 . All the biscuits are shared equally among 6 friends. How many biscuits does each get? 118 EACHENRO’TSES • Guide pupils to solve the problems using various strategies such as 2.5.2 drawing diagrams and repeated addition. T

2 Umar has 12 fish. He puts 4 fish into each bowl. How many bowls are there altogether? Method Draw a picture. 12 ÷ 4 = Check with a 3 number line. 4 12 – 12 0 0 4 8 12 12 ÷ 4 = 3 There are 3 bowls. All the fish are put equally into 2 bowls. Calculate the number of fish in each bowl. EACHENRO’TSES • Pose a variety of questions to strengthen pupils’ understanding. 2.5.2 • Encourage pupils to use various strategies such as simulation and trial T 119 and error.

3 50 pupils visit the National Museum by van. Each van can carry 10 pupils. How many vans are needed? Method 5 x 10 = 50 50 ÷ 10 = Number of 1 234 5 Number of pupils 10 20 30 40 50 Create a table. 5 10 50 – 50 0 50 ÷ 10 = 5 5 vans are needed. The 505p u p ilvsarnidedipnearlvuaknatnh.a t can carry 9 pupils. How many vans are needed? Discuss. EACHENRO’TSES • Provide a variety of questions so that pupils can achieve TP6. 2.5.2 • Provide more practices in worksheets and question cards. 120 T AB 85-86

LET’S ANSWER Solve the problems. 1 Jasni bought 2 sheets of stickers. Each sheet has 9 stickers. How many stickers are there altogether? 2 Sara arranges 48 photos equally into 6 albums. How many photos are there in each album? 3 I have 1 box I have 3 similar filled with boxes of cakes. 5 cakes. Each box has 5 cakes too. Moli Raj Read the conversation above. Calculate the number of cakes Raj has. 4 Madam Ho has 96 storybooks. She puts the books equally into 10 bags to be given to the orphans. How many books are not in the bags? T EACHENRO’TSES • Provide more questions according to pupils’ capability to strengthen 2.5.2 their understanding. 121 • Surf http://www.mathworksheet4kids.com/word-problems/ division/1by1.pdf

ET’S HAVE FUN L Materials/Resources Participants 3 pupils T paper, pencil, dice, and 1 referee Forward and Backward markers START 3 × 7 8×5= ×8 200 – 90 700 + 3 0 0 9 hundreds – 5 tens There are 150 A car fits 50 ÷ 10 buns. Donate 5 people. Divide 120 buns. There 9 cars fit Miss a 56 biscuits are buns turn. among 8 pupils. people. Each will get . left. 308 END + 1 4 2 Congratulations! Method Move forward 2 boxes. 1. Throw the dice. Move the marker Congratulations! based on the number on the dice. Move forward × 6 = 18 2. Answer the questions. If the answer 7 × 1 tens is incorrect, miss a turn. 2 boxes. 100 + 54 3. If the marker stops at the same spot as before, throw the dice again. 4. The first player who reaches END is the winner. Sorry! 12 ÷ 4 637 1 hundreds Find the Go back to – 5 2 + 4 tens remainder of 9 divided by 2. START. 6 multiplied by 8 122 EACHENRO’TSES • Ask pupils to determine their turns before they start playing. 2.1, 2.2 AB 87-88 Encourage pupils to check their calculation among themselves 2.3, 2.4 to make sure the answer is correct and precise. 2.5 • Inculcate the value of cooperation and honesty while playing.

Dengan ini, SAYA BERJANJI akan menjaga buku ini dengan baik dan bertanggungjawab atas kehilangannya, serta mengembalikannya kepada pihak sekolah pada tarikh yang ditetapkan. Skim Pinjaman Buku Teks Sekolah Tahun Darjah Nama Penerima Tarikh Terima Nombor Perolehan: Tarikh Penerimaan: BUKU INI TIDAK BOLEH DIJUAL

BT082004