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@ 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

  1. @ FPS Friday, 11 March 2016

  2. 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

  3. 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

  4. • 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.

  5. • Helps pupils visualise situations • Creates concrete pictures from abstract situations • Enhances the pupils’ learning through seeing and doing

  6. How we arrive at model-drawing? 8 5 8 5 13

  7. Steps in Solving Word Problems Rearrange the following statements in order. 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.

  8. 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.

  9. 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.

  10. STAGE 1 : Draw the bars. 300 100 ? 300 100 ?

  11. STAGE 2 : Use numbers outside/inside the bars. Mary has 300 stamps. John has 100 stamps. How many stamps do they have altogether? 100 300 ?

  12. STAGE 3: Label the bars. Mary has 300 stamps. John has 100 stamps. How many stamps do they have altogether? 100 300 Mary John ?

  14. A) Finding the whole, given 2 parts . Mr Samy has $580. Mrs Samy has $210. How much money do they have altogether? $210 $580 a b Mr Samy Mrs Samy ? 580 + 210 = 790 They have $790 altogether.

  15. B) Finding the part, given the whole and a part. Patrick and Nancy has 430 marbles. Nancy has 120 marbles. How many marbles does Patrick have? 120 ? Patrick Nancy 430 430 – 120 = 310 Patrick has 310 marbles.

  17. 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.

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

  19. 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.

  20. 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? 962 boys girls 367 ? 6500 - 1800 = 4700 He sold 4700 buns on Sunday.

  22. Comparison Model A Larger quantity B Smaller quantity difference

  23. A) Finding the difference between 2 quantities Peter has 1000 loom bands. Ken has 400 loom bands. How many more loom bands does Peter have than Ken? Peter 1000 Ken 400 ? 1000 – 400 = 600 Peter has 600 more loombands than Ken.

  24. B) Finding the larger quantity There are 670 blue pens. There are 880 fewer blue pens than red pens. How many red pens are there? ? Red Pens 880 Blue Pens 670 670 + 880 = 1550 There are 1550 red pens.

  26. 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.

  27. 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.

  28. Differentiating Models A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. 450 Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah 450 Kelly C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah 450 Kelly

  29. Differentiating Models A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. 450 Sarah Kelly B) Sarah has 450 stickers. She has 130 stickers more than Kelly. Sarah 450 Kelly C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. Sarah 450 Kelly

  30. Part-Whole Model A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. 450 Sarah Kelly 130 B) Sarah has 450 stickers. She has 130 stickers more than Kelly. 450 Sarah Kelly C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. 450 Sarah Kelly

  31. Part-Whole Model A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. 450 Sarah Kelly 130 B) Sarah has 450 stickers. She has 130 stickers more than Kelly. 450 Sarah Kelly 130 C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. 450 Sarah Kelly

  32. Part-Whole Model A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. 450 Sarah Kelly 130 B) Sarah has 450 stickers. She has 130 stickers more than Kelly. 450 Sarah Kelly 130 C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. 450 Sarah 130 Kelly

  33. Part-Whole Model A) Sarah has 450 stickers. Kelly has 130 stickers fewer than her. 450 Sarah Kelly 130 B) Sarah has 450 stickers. She has 130 stickers more than Kelly. 450 Sarah 130 Kelly C) Sarah has 450 stickers. She has 130 stickers fewer than Kelly. 450 Sarah 130 Kelly

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

  36. 3 children shared the cost of a present equally. Each child paid $23 for the present. How much did the present cost? ? $23 $23 $23 3 × 23 = 69 The present cost $69.

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

  38. Ann has 10 erasers. She has 3 times as many pencils as erasers. How many pencils does Ann have? ? 10 Pencils 10 Erasers 3 × 10 = 30 Ann has 30 pencils.

  40. 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.

  41. 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.

  43. 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.

  45. Finding the number of items in each group by equal sharing 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.

  46. • Monitor your child’s work. • Help your child develop good routines. (using SUPER approach) - Study and - Understand the problem. - Plan a solution - Execute the plan - Review the answers

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

  48. Thank you for your Participation Q & A

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