42 Mathematics Grade 2 Practice 1. The shopkeeper packed 147 bags of fruits in the morning. He packed 120 bags of fruits in the afternoon. How many bags of fruits did he pack altogether? 2. The postman delivered 235 letters on Monday. He delivered 159 letters on Tuesday. How many letters did he deliver altogether? 3. There are 206 chickens, 191 ducks and 90 cows on a farm. How many animals are there on the farm? Draw models to solve the following word problems.
CHAPTER 3 Using models (addition and subtraction) 43 60 Number of cupcakes Number of egg tarts 22 ? The baker baked 60 cupcakes and egg tarts. There were 22 cupcakes. How many egg tarts were there? The classroom has 49 pupils. 28 of them are girls. How many of the pupils are boys? Finding a set of objects from a group of the pupils are boys. There were egg tarts. 60 – 22 = = Total number of cupcakes and egg tarts 49 Girls Boys 28 ?
44 Mathematics Grade 2 Practice 1. A farmer harvested 400 tomatoes and carrots in a day. 234 of them were tomatoes. How many carrots did he harvest? 2. The library has 562 fiction and non-fiction books. 323 of the books are fiction. How many non-fiction books are there? 3. Suzi collected 663 gold and silver coins. 480 of them are gold coins. How many silver coins did she collect? Draw models to solve the following word problems.
CHAPTER 3 Using models (addition and subtraction) 45 Teacher bought 88 picture cards. He gave away some picture cards to his pupils. He had 39 picture cards left. How many picture cards did he give away? There were 232 people in the cinema. Later, 174 people left the cinema. How many people were there in the cinema in the end? Taking away a set of objects There were people in the cinema in the end. He gave away picture cards. 88 – 39 = = Number of picture cards left Total number of picture cards Number of picture cards given away 88 ? ?
46 Mathematics Grade 2 Practice 1. Arya bought 124 oranges. She used some of them to make some juice for a party. She had 20 oranges left. How many oranges did she use to make juice? 2. Mrs Lee baked 450 cookies. She gave away some of the cookies to her neighbours. She had 80 cookies left. How many cookies did she give away? 3. 600 pupils attended a talk in the school hall. Later, 258 pupils left the hall. How many pupils were there in the school hall in the end? Draw models to solve the following word problems.
CHAPTER 3 Using models (addition and subtraction) 47 Ferdi has 126 paper clips. Nida has 58 more paper clips than Ferdi. How many paper clips does Nida have? There are 315 adults at the amusement park. There are 119 more children than adults at the amusement park. How many children are there at the amusement park? Comparing two sets There are children at the amusement park. Nida has paper clips. 126 + 58 = = ? Ferdi 126 Nida 58 ? Adults 315 Children 119
48 Mathematics Grade 2 Practice 1. There are 212 motorcycles in a car park. There are 79 more cars than motorcycles in the car park. How many cars are there in the car park? 2. Edward sold 221 cups of coffee on Sunday. He sold 59 more cups of coffee than tea on that day. How many cups of tea did he sell on Sunday? 3. Dora scored 398 points in a Game A. She scored 110 more points in Game B. How many points did she score in Game B? Draw models to solve the following word problems.
49 CHAPTER 3 Using models (addition and subtraction) 63 Number of stalks of roses left Number of stalks of roses sold ? 19 B Two-step word problems There were 35 stalks of red roses and 28 stalks of white roses at the florist’s. 19 stalks of roses were sold later. (a) How many stalks of roses were there at first? (b) How many stalks of roses were there in the end? There were 63 stalks of roses at first. There were 44 stalks of roses at in the end. (a) (b) 35 + 28 = 63 63 – 19 = 44 Total number of stalks of roses Total number of stalks of roses Number of stalks of red roses Number of stalks of white roses ? 35 28 watch me
50 Mathematics Grade 2 Lily folded 142 paper stars. Rosa folded 68 more paper stars than Lily. (a) How many paper stars did Rosa fold? (b) How many paper stars did Lily and Rosa fold altogether? Rosa folded paper stars. Lily and Rosa folded paper stars altogether. (a) (b) = = Number of paper stars folded by Rosa Number of paper stars folded by Rosa ? Lily 142 Rosa 68 ? Lily 142 Rosa
CHAPTER 3 Using models (addition and subtraction) 51 Joe prepared 287 doughnuts and buns for a party. 158 of them are buns. (a) How many doughnuts did he prepare? (b) How many more buns than doughnuts did he prepare? He prepared doughnuts. He prepared more buns than doughnuts. (a) (b) = = Total number of doughnuts and buns Number of buns ? Buns Doughnuts Number of doughnuts ?
52 Mathematics Grade 2 ? The ice cream seller had 556 cups of ice cream. He sold 80 cups of ice cream. He had 240 cups of chocolate ice cream and some vanilla ice cream left. How many cups of vanilla ice cream did he have left? He had cups of ice cream left. He had cups of vanilla ice cream left. = = Total number of cups of ice cream Number of cups of ice cream left Number of cups of vanilla ice cream left Number of cups of ice cream sold Number of cups of chocolate ice cream left ?
CHAPTER 3 Using models (addition and subtraction) 53 Practice 1. Father gives 800 postcards to Sam and 315 postcards to Pat. He has 431 postcards left. How many postcards does he have at first? 2. There are 214 guests at the school festival. There are 116 adults and the rest are children. (a) How many children are there at the school festival? (b) 52 children from School P are invited to join the festival, how many children are there in total? 3. A factory produced 600 cartons of milk on Monday. The factory produced 132 more cartons of milk on Tuesday. The factory produced 89 fewer cartons on Wednesday than on Tuesday. (a) How many cartons of milk were produced on Tuesday? (b) How many cartons of milk were produced on Wednesday? Draw models to solve the following word problems.
54 Mathematics Grade 2 4. The art section of a library contains 995 books. 464 of the books were borrowed and 329 books were returned last month. How many books are left in the art section last month? 5. A study of 800 people found that 567 of them were right handed, 223 were left handed and the remainder were ambidextrous (could use both hands equally well). How many of them were ambidextrous? 6. There were 538 passengers on a train. At the next stop, 150 passengers got on the train while 200 of the passengers disembarked. How many passengers were left on the train?
CHAPTER 3 Using models (addition and subtraction) 55 7. In a walkathon, the organiser prepared 264 bottles of mineral water and 195 bottles of energy drink. Some bottles of mineral water were consumed, and 345 bottles of mineral water and energy drink were left. (a) How many bottles of mineral water and energy drink were there at first? (b) How many bottles of mineral water were consumed? 8. There were 479 male audience and 332 female audience in the stadium. Another 56 audience arrived later. (a) How many audience were there in the stadium at first? (b) How many audience were there in the stadium in the end? 9. The laundry store received 367 pieces of clothing on Friday. It received 112 more pieces of clothing on Saturday than on Friday. (a) How many pieces of clothing did the laundry store receive on both days? (b) 89 pieces of the total number of clothing received were in white while the rest were coloured. How many coloured pieces of clothing were there?
Chapter 4 Multiplication There are 3 jars. Each jar contains 5 cookies. How many cookies are there altogether? You should be able to • understand multiplication • write correct multiplication sentences • find the total in a multiplication sentence • solve one-step multiplication word problems Maths Online http://bit.do/IPMT2-C4-MO-1 http://bit.do/IPMT2-C4-MO-2 http://bit.do/IPMT2-C4-MO-3 4 http://bit.do/IPMT2-C4-MO-4 Maths Online Maths Online Maths Online Maths Online 2 3 4 Learning Outcomes
CHAPTER 4 Multiplication 57 Multiplication is the same as adding groups of equal objects together. × is the sign for multiplication. We read it as times. We read 3 × 4 = 12 as "three times four is equal to twelve". A Meaning of multiplication There are 3 trees. Each tree has 4 apples. How many apples are there altogether? 4 + 4 + 4 = 12 3 fours = 12 3 groups of 4 = 12 There are 12 apples altogether. We can write it as 3 × 4 = 12. 3 × 4 = 4 + 4 + 4 3 × 4 = 12 Number of groups Number of objects in each group watch me
Mathematics 58 Grade 2 There are 3 pieces of string. Each piece of string has 2 beads. How many beads are there altogether? 2 + 2 + 2 = 6 3 groups of 2 = 6 We write it as 3 × 2 = 6. We read it as three times two is equal to six. There are 6 beads altogether. There are 5 boxes. Each box has 3 pencils. How many pencils are there altogether? 3 + 3 + 3 + 3 + 3 = threes = groups of 3 = 5 × 3 = There are pencils altogether. 3 × 2 = 6 2 × 3 = 6 The product of 3 × 2 is the same as 2 × 3. There are groups. Each group has pencils.
CHAPTER 4 Multiplication 59 Practice 1. Match. 4 × 3 (a) 3 × 4 (b) 2 × 2 (c) 3 × 5 (d) 2. Fill in the blanks with the correct answers. (a) 4 + 4 + 4 + 4 + 4 + 4 = × 4 (b) 5 + 5 + 5 = × (c) × = (d) × = (e) × = (f) × =
Mathematics 60 Grade 2 Multiplication table of 2 B Multiplication of 1-digit numbers Each of you has 2 medals. Let's count how many medals you all have altogether. 2 4 6 8 10 12 14 16 18 1 group of two 1 × 2 = 2 2 groups of twos 2 × 2 = 4 3 groups of twos 3 × 2 = 6 4 groups of twos 4 × 2 = 8 5 groups of twos 5 × 2 = 6 groups of twos × 2 = 7 groups of twos × 2 = 8 groups of twos × 2 = 9 groups of twos × 2 = watch me
CHAPTER 4 Multiplication 61 Multiplication table of 3 Let's help Neil count in threes. 3, 6, 9, 12, 15, 18, 21, 24, 27. 1 group of three 1 × 3 = 3 2 groups of threes 2 × 3 = 6 3 groups of threes 3 × 3 = 9 4 groups of threes × 3 = 5 groups of threes × 3 = 6 groups of threes × 3 = 7 groups of threes × 3 = 8 groups of threes × 3 = 9 groups of threes × =
Mathematics 62 Grade 2 Multiplication table of 4 Jump like a frog! 1 frog has 4 legs. 1 × 4 = 4 2 frogs have 8 legs. 2 × 4 = 8 3 frogs have 12 legs. 3 × 4 = 4 frogs have legs. × 4 = 5 frogs have legs. × 4 = 6 frogs have legs. × 4 = 7 frogs have legs. × 4 = 8 frogs have legs. × 4 = 9 frogs have legs. × =
CHAPTER 4 Multiplication 63 Multiplication table of 5 How many fingers are there? Put up one hand. 1 × 5 = 5 Put up 2 hands. 2 × 5 = 10 Put up 3 hands. 3 × 5 = Put up 4 hands. 4 × 5 = Put up 5 hands. × 5 = Put up 6 hands. × 5 = Put up 7 hands. × 5 = Put up 8 hands. × 5 = Put up 9 hands. × 5 = How many fingers do 5 persons have? Count in fives: 5, 10, 15, 20 Let’s Think !
Mathematics 64 Grade 2 Multiplying two numbers 4 × 3 = 6 × 5 = 3 + 3 + 3 + 3 = 12 4 × 3 = 12 5 + 5 + 5 + 5 + 5 + 5 = 30 6 × 5 = 30 We can skip-count by threes: 3, 6, 9, 12, ... We can skip-count by fives: 5, 10, 15, 20, 25, 30, ... 0 1 2 3 4 5 6 7 8 9 10 11 12 (+3) 3 more (+3) 3 more (+3) 3 more (+3) 3 more 0 5 10 15 20 25 30 (+5) 5 more (+5) 5 more (+5) 5 more (+5) 5 more (+5) 5 more (+5) 5 more 4 groups of 3 equal 12. 4 threes = 12 6 groups of 5 equal 30. 6 fives = 30
CHAPTER 4 Multiplication 65 Multiplication table of 6 Count the squares in each row. Practice Multiply. 1. 3 × 6 = 3. 7 × 6 = 2. 5 × 6 = 4. 9 × 6 = 0 6 12 18 24 30 36 42 48 54 +6 +6 +6 +6 +6 +6 +6 +6 +6 I move forward 6 steps with every jump. 1 × 6 = 6 2 × 6 = 12 3 × 6 = 18 4 × 6 = 5 × 6 = 6 × 6 = × 6 = × 6 = × 6 =
Mathematics 66 Grade 2 Multiplication table of 7 Count the stars in each row. Practice Multiply. 1. 3 × 7 = 3. 7 × 7 = 2. 5 × 7 = 4. 9 × 7 = I move forward 7 steps with every jump. 0 7 14 21 28 35 42 49 56 63 +7 +7 +7 +7 +7 +7 +7 +7 +7 1 × 7 = 7 2 × 7 = 14 3 × 7 = 4 × 7 = × 7 = × 7 = × 7 = × 7 = × 7 =
CHAPTER 4 Multiplication 67 Multiplication table of 8 Count the stones in each row. Practice Multiply. 1. 2 × 8 = 3. 6 × 8 = 2. 4 × 8 = 4. 8 × 8 = I move forward 8 steps with every jump. 0 8 16 24 32 40 48 56 64 72 +8 +8 +8 +8 +8 +8 +8 +8 +8 1 × 8 = 8 2 × 8 = 16 3 × 8 = 4 × 8 = × 8 = × 8 = × 8 = × 8 = × 8 =
Mathematics 68 Grade 2 Multiplication table of 9 Count the buttons in each row. Practice Multiply. 1. 2 × 9 = 3. 6 × 9 = 2. 5 × 9 = 4. 9 × 9 = I move forward 9 steps with every jump. 0 9 18 27 36 45 54 63 72 81 +9 +9 +9 +9 +9 +9 +9 +9 +9 1 × 9 = 9 2 × 9 = 18 3 × 9 = 4 × 9 = × 9 = × 9 = × 9 = × 9 = × 9 =
CHAPTER 4 Multiplication 69 Activity CORNER Read aloud with your friends. bees have mouths, pairs of wings and legs, buzzing around collecting honey. Use the relay method to carry out this activity. Can you continue reading quickly and correctly? 2 bees have 2 mouths, 4 pairs of wings and 12 legs, buzzing around collecting honey. bees have mouths, pairs of wings and legs, buzzing around collecting honey. 1 bee has 1 mouth, 2 pairs of wings and 6 legs, buzzing around collecting honey.
Mathematics 70 Grade 2 C Solving word problems There are 4 baskets. Each basket has 2 strawberries. How many strawberries are there altogether? There are two ways to find the number of strawberries. 1. Count the number of groups. ► There are 4 baskets = 4 groups. 2. Count the number of objects. ► There are 2 strawberries in each group. or 1. Count the number of groups. ► There are 4 baskets = 4 groups. There are 8 strawberries altogether. 2 + 2 + 2 + 2 = 8 4 × 2 = 8 4 × 2 = 2 + 2 + 2 + 2 = 8 4 groups of 2 equal 8. 4 twos = 8 2. Count the number of objects. ► There are 2 strawberries in each group. watch me
CHAPTER 4 Multiplication 71 Practice 1. A car has 4 wheels. How many wheels do 5 cars have? × = 5 cars have wheels. 2. Lisa buys 7 boxes of chocolate bars. Each box has 6 chocolate bars. How many chocolate bars does Lisa buy altogether? Solve the following word problems.
Mathematics 72 Grade 2 3. There are 2 plates on a table. There are 8 cookies on each plate. How many cookies are there altogether? 4. Gigi has 3 jars. She puts 9 marbles into each jar. How many marbles does she have altogether?
CHAPTER 4 Multiplication 73 ASK IMAGINE PLAN Snakes and ladders (multiplication) Snakes and ladders is a very common board game. This game incorporates the counting skills. A toy company wants to produce a series of board games that incorporates other Mathematical knowledge and skills. You are required to design and create a board game that students can practise their multiplication skills while playing. You should use other objects instead of snakes and ladders. Remember to set the new rules for your new game. Suggested materials: cardboard ruler pencil dice crayons Tips: 1. In order to make your game interesting, you may add in multiplication problems and the steps to solve them. 2. You may use question and answer cards for your game. Activity
Mathematics 74 Grade 2 CREATE IMPROVE PRESENT
Chapter 5 Division There are 10 eggs. How do we divide the eggs equally among 5 children? You should be able to • understand division • write correct division sentences • find the number of objects in each group • find the number of groups • solve one-step division word problems Learning Outcomes Maths Online http://bit.do/IPMT2-C5-MO-1 http://bit.do/IPMT2-C5-MO-2 http://bit.do/IPMT2-C5-MO-3 4 http://bit.do/IPMT2-C5-MO-4 Maths Online Maths Online Maths Online Maths Online 2 3 4
12 ÷ 3 = 4 Mathematics 76 Grade 2 A Meaning of division There are 12 roses. There are 3 teachers. Each teacher receives the same number of roses. Each teacher gets 4 roses. We write the division sentence as Division means sharing equally. When we divide objects into 3 groups, we are dividing by 3. ÷ is the sign for division. It is read as “divided by”. We read 12 ÷ 3 = 4 as “Twelve divided by three is equal to four”. Sharing equally watch me
How many mugs are there altogether? How many trays are there? Put the same number of mugs on each tray. ÷ = Each tray has mugs. How many coins are there altogether? How many jars are there? Put the same number of coins into each jar. ÷ = Each jar has coins. CHAPTER 5 Division 77 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH 100 RUPIAH
She needs 4 vases. We write the division sentence as Sarah has 8 sunflowers. She wants to put the flowers in vases with 2 flowers in each vase. How many vases does she need? Grouping When we put objects in groups of 2, we divide by 2 to find the number of groups. 8 ÷ 2 = 4 We read 8 ÷ 2 = 4 as “Eight divided by two is equal to four”. Division also means grouping. First, put 2 sunflowers into 1 vase. Repeat until all the sunflowers are put into the vases. Mathematics 78 Grade 2
8 children are playing a game. There are 4 children in each team. How many teams are there? ÷ = There are teams. Tommy buys 15 pieces of chocolate. He gives 3 pieces of chocolate to each of his friends. How many friends does Tommy give his chocolate to? ÷ = Tommy gives his chocolate to friends. CHAPTER 5 Division 79
Fill in the correct answers. Mathematics 80 Grade 2 2. There are 16 cabbages. The same number of cabbages are put into each of the 4 baskets. How many cabbages are there in each basket? There are cabbages in each basket. 1. There are 10 balloons. The balloons are shared equally among 2 children. How many balloon does each child receive? Each child receives balloons. Practice 3. There are 18 fish. Each cat eats 3 fish. How many cats are there? Answer: = ÷ = ÷ =
CHAPTER 5 Division 81 B Division as the opposite of multiplication Based on the picture, we can write the following number sentences: 4 × 3 = 12 or 3 × 4 = 12 ; 12 ÷ 3 = 4 or 12 ÷ 4 = 3. Another way to think of division is as the opposite of multiplication. Practice 1. 2. 3 × 5 = ÷ 3 = 5 ÷ 5 = 3 × 5 = 20 20 ÷ = 5 20 ÷ 5 = 3. 6 × 7 = 42 42 ÷ 6 = 42 ÷ 7 = 4. × 8 = 16 16 ÷ = 16 ÷ = watch me Fill in the blanks.
Mathematics 82 Grade 2 C Dividing by 1-digit divisors Practice Divide. 1. 18 ÷ 2 = 3. 45 ÷ 5 = 2. 36 ÷ 6 = 4. 56 ÷ 8 = 10 ÷ 2 = Recall: 2 × 5 = 10 or 5 × 2 = 10 Therefore, 10 ÷ 2 = 5. 40 ÷ 5 = Recall: 5 × 8 = 40 or 8 × 5 = 40 Therefore, 40 ÷ 5 = 8. 60 ÷ 6 = Recall: 6 × 10 = 60 or 10 × 6 = 60 Therefore, 60 ÷ 6 = 10. We divide numbers easily when we remember the times tables well. watch me
CHAPTER 5 Division 83 D Solving word problems involving division You can check your answer using multiplication. 6 × 4 = 24 There are 6 children. They share 24 slices of pizza equally among themselves. How many slices of pizza does each child get? There are 24 slices of pizza. There are 6 children. 24 ÷ 6 = 4 Each child gets 4 slices of pizza. Practice 1. Cindy and Sam arrange 32 desks in 4 equal rows. How many desks are there in each row? watch me Solve the following word problems.
Mathematics 84 Grade 2 2. Jane makes 25 sandwiches. She wants to put 5 sandwiches on a plate. How many plates does she need for all her sandwiches? 4. The teacher has 72 pencils. He wants to divide the pencils equally among 8 pupils. How many pencils does each pupil get? 3. There are 48 candies altogether. The shopkeeper packs 6 candies in each packet. How many packets of candies does the shopkeeper pack altogether?
CHAPTER 5 Division 85 ASK IMAGINE PLAN Snakes and ladders (division) Do your friends like your previous board game that enhances their multiplication skills? The toy company likes it very much. You have done a very good job. Now, the toy company wants you to design and create another board game that incorporates division skills. However, in this new game you have to include the use of cards to make it more interesting. Suggested materials: cardboard ruler pencils dice crayons Tips: 1. Cards with division problems and answers are part of your game that help to improve players’ division skills. 2. Using other animals and things instead of snakes and ladders. Activity
Mathematics 86 Grade 2 CREATE IMPROVE PRESENT
MINDS-ON MATHS is a series of textbooks with accompanying workbooks, specially designed to meet the requirements of the latest Indonesian Maths syllabus. The Singapore Maths Method which is proven to be one of the most effective teaching approaches in the world is adopted for content enhancement. This series encourages active learning and practices so that pupils’ mathematical fluency can be developed through questions and activities infused with heuristic and modelling techniques, critical thinking, logical reasoning and metacognitive skills. SPECIAL FEATURES Chapter Opener : provides an engaging introduction to the topics and concepts in the upcoming chapter Learning Outcomes : states the learning objectives in each chapter Maths Online : lists suitable websites that offer learning activities using information technology Practice : provides exercises to reinforce pupils’ grasp of new concepts learnt Watch Me : directs pupils to the carefully selected videos online for further reinforcement and mastery of concepts Activity Corner : offers suggestions for hands-on activities Let’s Think! : challenges pupils to answer non-routine questions Stem Activity : provides an activity that engages in the application of knowledge of scientists, mathematicians and engineers Quick Quiz : provides printable online maths quizzes for pupils to boost their maths knowledge Maths Battle : contains different types of online activities and games that promote peer interaction and collaborative learning 21st Century Learning Components: JBRB211032 ISBN 978-981-17075-7-5 MINDS-ON MATHS comprises: Textbook Workbook Teacher’s Guide Digital Handbook