@ FPS Friday, 11 March 2016 Programme Time Activity 3.30 p.m. to - - PowerPoint PPT Presentation

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@ FPS Friday, 11 March 2016 Programme Time Activity 3.30 p.m. to - - PowerPoint PPT Presentation

Oct 26, 2022 107 likes •599 views

@ FPS Friday, 11 March 2016 Programme Time Activity 3.30 p.m. to 3.45 p.m. Registration 3.45 p.m. to 4.45 p.m. What is model drawing? Using the Model Approach 4.45 p.m. to 5.00 p.m. Q & A session Types of Models Part - whole

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Friday, 11 March 2016

@ FPS

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Programme

Time Activity 3.30 p.m. to 3.45 p.m. Registration 3.45 p.m. to 4.45 p.m. What is model drawing? Using the Model Approach 4.45 p.m. to 5.00 p.m. Q & A session

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Types of Models

  • Part - whole Models in Addition and

Subtraction

  • Comparison in Addition and Subtraction
  • Part – whole (grouping) in Multiplication
  • Part – whole (grouping) in Division
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  • It is one of the problem-solving

heuristics based on a pictorial approach.

  • The representation of the problem

situation is in the form of a bar diagram.

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  • Helps pupils visualise situations
  • Creates concrete pictures from abstract

situations

  • Enhances the pupils’ learning through seeing

and doing

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8 5 8 5 13

How we arrive at model-drawing?

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Steps in Solving Word Problems

Step ( ) Using bar diagram(s), show what is given and what is wanted. Step ( ) Decide on the operation required. Step ( ) Read the word problem. Step ( ) Check your answers. Step ( ) Show all workings. Step ( ) Complete the word statement. Step ( ) Write the equation. Rearrange the following statements in order.

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Steps in Solving Word Problems

Step 1: Read the word problem. Step 2: Using bar diagram(s), show what is given and what is wanted. Step 3: Decide on the operation required.

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Steps in Solving Word Problems

Step 4: Write the equation. Step 5: Show all workings. Step 6: Check your answers. Step 7: Complete the word statement.

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STAGE 1 : Draw the bars.

? 300 100 ? 300 100

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STAGE 2 : Use numbers outside/inside the bars.

?

Mary has 300 stamps. John has 100 stamps. How many stamps do they have altogether?

300 100

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STAGE 3: Label the bars.

John Mary

?

Mary has 300 stamps. John has 100 stamps. How many stamps do they have altogether?

300 100

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A) Finding the whole, given 2 parts.

Mr Samy has $580. Mrs Samy has $210. How much money do they have altogether?

?

a b

Mrs Samy Mr Samy

580 + 210 = 790 They have $790 altogether.

$580 $210

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Patrick and Nancy has 430 marbles. Nancy has 120 marbles. How many marbles does Patrick have? 430

Patrick Nancy

? 120

430 – 120 = 310 Patrick has 310 marbles.

B) Finding the part, given the whole and a part.

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Finding the whole, given 2 parts 1) Melissa has $4291. Brendan has $1071. How much money do they have altogether? 4291 + 1071 = 5362 They have $5362 altogether.

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Finding the whole, given 2 parts 2) Ali has 150 marbles. Betty has 290 marbles. How many marbles do they have altogether? 150 + 290 = 440 They have 440 marbles altogether.

Ali Betty 150 290 ?

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Finding the part, given the whole and a part 3) Mr Lee sold 6500 buns on Saturday and Sunday. He sold 1800 buns on Saturday. How many buns did he sell on Sunday? 6500 - 1800 = 4700 He sold 4700 buns on Sunday.

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Finding the part, given the whole and a part 4) There are 962 children at a carnival. There are 367 boys. How many girls are there at the carnival? 6500 - 1800 = 4700 He sold 4700 buns on Sunday.

girls boys ? 367 962

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Comparison Model

Larger quantity Smaller quantity difference A B

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Peter has 1000 loom bands. Ken has 400 loom bands. How many more loom bands does Peter have than Ken? 1000 Peter 400 Ken ? 1000 – 400 = 600 Peter has 600 more loombands than Ken.

A) Finding the difference between 2 quantities

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? 880

670 + 880 = 1550 There are 1550 red pens.

Red Pens Blue Pens

There are 670 blue pens. There are 880 fewer blue pens than red pens. How many red pens are there?

670

B) Finding the larger quantity

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Finding the difference between 2 quantities 5) Susie has 5800 stamps. Raj has 3750 stamps. How many more stamps does Susie have than Raj? 5800 - 3750 = 2050 Susie has 2050 more stamps than Raj.

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Finding the larger quantity 6) Mrs Lee sells 5090 pens. She sells 1050 fewer pens than Mrs Yeo. How many pens did Mrs Yeo sell? 5090 + 1050 = 6140 Mrs Yeo sold 6140 pens.

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A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. Sarah Kelly

Differentiating Models

C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah Kelly

450 450 450

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A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. Sarah Kelly

Differentiating Models

C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah Kelly

450 450 450

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A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. Sarah Kelly

Part-Whole Model

C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah Kelly

450 450 450 130

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A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. Sarah Kelly

Part-Whole Model

C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah Kelly

450 450 450 130 130

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A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. Sarah Kelly

Part-Whole Model

C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah Kelly

450 450 450 130 130 130

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A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. Sarah Kelly

Part-Whole Model

C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah Kelly

450 130 450 130 450 130

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? a a a A) Finding the whole, given the number of groups and the number in each group.

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3 children shared the cost of a present equally. Each child paid $23 for the present. How much did the present cost?

?

$23

3 × 23 = 69 The present cost $69.

$23 $23

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B) Finding the whole by comparison. ? a a a a

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Ann has 10 erasers. She has 3 times as many pencils as erasers. How many pencils does Ann have?

3 × 10 = 30 Ann has 30 pencils. ? 10 10

Pencils Erasers

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Finding the whole, given the number of groups and the number of items in each group 7) 5 boys shared the cost of a toy train set equally. Each boy paid $91 for the set. How much did the toy train set cost? 91 x 5 = 455 The toy train set cost $455.

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Finding the whole by comparison 8) Mastura has 215 stickers. Ahmad has 3 times as many stickers as Mastura. How many stickers does Ahmad have? 215 x 3 = 645 OR 215 + 215 + 215 = 645 Ahmad has 645 stickers.

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Finding the number of items in each group by equal sharing Mr Tan had 1200 pears. He divided his pears equally into 4 boxes. How many pears were there in each box?

1200 pears ? 1 box 1200 ÷ 4 = 300 There were 300 pears in each box.

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8) Best Baker has to deliver 3600 loaves of bread to 9 shops. How many loaves of bread does each shop receive? 3600 ÷ 9 = 400 Each shop receives 400 loaves of bread. Finding the number of items in each group by equal sharing

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  • Monitor your child’s work.
  • Study and
  • Understand the problem.
  • Plan a solution
  • Execute the plan
  • Review the answers
  • Help your child develop good routines.

(using SUPER approach)

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Please complete the survey using the QR code. (Level 1)

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Thank you for your Participation Q & A