A warm welcome to our…

Mathematics Model Drawing

Grade 2

Workshop 2015

October 10 & 12

1

2

INTRODUCTION

Mr. Garry HughesPresenter

Why Model-Drawing?

• Model Drawing – A concrete and visual way to represent abstract concepts

• To equip you with the necessary tools to help your child/children in problem-solving using models

• To align you with the school’s approach in educating your child

3

Disclaimers

• There are different ways to draw models • Model-drawing is not the only way to solve a problem

• Model-drawing is not always the best way to solve a problem

• There are different ways to represent brackets or braces

4

Key Teaching pointsBefore attempting to solve the word problems, teach your child to think through them by asking them questions

Examples: •Read the following word problems, do you find any similarity between the questions?•What values are given and what is needed to solve the problem?•If you were to draw a model, where would you start?

5

6

1. Part-Whole Models for Addition

2. Part-Whole Models for Subtraction

3. Comparison Models

(involving More than / Fewer or Less than)

4. Multiplication Models

5. Division Models

Different Types of Models

7

1. PART-WHOLE MODELS – Addition

?

4

4 + 8 = 12

There are 12 fruits in the basket.

There are 4 apples and 8 pears in a basket.How many fruits are there in the basket?

8

8

PART-WHOLE MODELS – Let’s try using stamps!

I have 5 circles and my friend has 10 triangles.How many shapes do we have altogether?

?

5 10

5 + 10 = 15

There are 15 shapes altogether.

9

Georgina had 99 storybooks. Her father gave her 112 storybooks. How many storybooks did she have in total?

99 + 112 = 211

She had 211 storybooks in total.

99

?

112

PART-WHOLE MODELS – Let’s try using magnets

10

There are 342 fruits in some baskets.148 of them are apples. The rest are pears. How many pears are there?

342 – 148 = 194There are 194 pears.

148 ?

342

2. PART-WHOLE MODELS – Subtraction

11

There are 322 marbles in a box.131 of them are blue. The rest are yellow.How many yellow marbles are there?

322 – 131 = 191There are 191 yellow marbles.

131 ?

322

PART-WHOLE MODELS – Let’s try using magnets

For the difference between 2 quantities, write down the difference in whole numbers in the model.

boys

Example: There are 24 more girls than boys

3. COMPARISON MODELS – More / Less than

girls

24

12

13

Devi had 202 stamps.She had 69 more stamps than Siti.How many stamps did Siti have?

202 – 69 = 133

Devi

Siti

?

202

69

COMPARISON MODELS – More / Less than

Siti had 133 stamps.

14

James had 168 stickers.He had 87 less stickers than Kenny.How many stickers did Kenny have?

168 + 87 = 255

168

?

James

Kenny

COMPARISON MODELS - Let’s try with magnets!

Kenny had 255 stickers.

87

15

4. MULTIPLICATION MODELS

Mina has 5 fish tanks. She has 8 goldfish in each fish tank. How many goldfish does she have altogether?

8 x 5 = 40Mina has 40 goldfish altogether.

8

?

16

Desmond gave 7 marbles to each of his 6 friends. How many marbles did Desmond give to his friends altogether?

4. MULTIPLICATION MODELS- Let’s try drawing a model.

7 x 6 = 42He gave 42 marbles altogether.

7

?

17

A teacher divided 18 colour pencils equally between 3 groups of students. How many colour pencils were there in each group?

5. DIVISION MODELS

18 ÷ 3 = 6

Each group had 6 colour pencils.

18

?

18

Nina used 375 cm of fabric to make 5 similar cushions. How much fabric did she use for each cushion?

5. DIVISION MODELS – Let’s try drawing a model

375 cm

?

375 ÷ 5 = 75

Nina used 75cm of fabric for each cushion.

19

Word Problem 1

Esther baked 145 butter cookies and 157 chocolate cookies.

How many cookies did she bake altogether?

Draw a model and label it correctly.

Solve the problem.

20

?

145 157

butter chocolate

145 + 157 = 302

Esther baked 302 cookies altogether.

Word Problem 1 - Answer

21

Word Problem 2

Jason had 350 stickers. He gave

his sister 205 stickers.

How many stickers did he have left?

Draw a model and label it correctly.

Solve the problem.

21

22

350 - 205 = 145 Jason had 145 stickers left.

350

Left Gave away

? 205

Word Problem 2 - Answer

23

A coat costs $152. A dress costs $200.

How much more does the dress cost than the coat?

Draw a model and label it correctly.

Solve the problem.

Word Problem 3

23

24

$200 - $152 = $48 The dress costs $48 more than the coat.

Word Problem 3

$152

Coat

?

Dress

$200

25

There are 7 children at a party. Each child is holding 4 balloons.

How many balloons are there altogether?

Draw a model and label it correctly.Solve the problem.

Word Problem 4

26

7 x 4 = 28

There are 28 balloons altogether.

Word Problem 4 - Answer

?

4

27

Lily and her 2 friends shared 24 apples equally.

How many apples did each of them get?

Draw a model and label it correctly.Solve the problem.

Word Problem 5

24

?

24 ÷ 3 = 8

Each of them got 8 apples.

Word Problem 5 - Answer

28

29

A baker baked 130 strawberry cakes. He baked 23 more mango cakes than strawberry cakes.

(1) How many mango cakes did he bake?

(2) How many cakes did he bake altogether?

Word Problem 6: 2-Part Word Problem

30

130

Strawberry

130 + 23 = 153

He baked 153 mango cakes.

Word Problem 6 – Part 1

(1)?

23

Mango

31

130

(2)?

130 + 153 = 283

He baked 283 cakes altogether.

Word Problem 6 – Part 2

32

Thank You For YourAttention

Kindly complete the

Evaluation Form &

drop it into the box on your way out.

Thank you for your valuable feedback

33

A fruit seller sold 937 apples on

Saturday and Sunday.

If he sold 387 of them on Saturday,

how many apples did he sell on

Sunday?

Additional Practice 1

34

937 – 387 = 550

The fruit seller sold 550 apples on Sunday.

937

Saturday Sunday

? 387

Additional Practice 1 - Answer

There are 450 balls in container A. There are 27 more balls in container B.

How many balls are there in container B?

35

Additional Practice 2

36

450 +27 = 477

There are 477 balls in container B.

Container A

450

Container B

27

?

Additional Practice 2 - Answer

37

Jasmine has $35. She has $7 less than Peter.

How much do they have altogether ?

Additional Practice 3 (2-Step Word Problem)

38

Step 1: $35 + $7 = $42

Step 2: $35 + $42 = $77

They have $77 altogether.

Step 1 (?)

$7

PeterStep 2 (?)

Jasmine

$35

Additional Practice 3 - Answer

39

Online Resource: www.mathplayground.com/thinkingblocks.html