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Using The Model Method to Solve Word Problems DrYeap Ban Har Marshall Cavendish Institute Singapore Slides are available at www.banhar.blogspot.com CollegioDagoberto Godoy, Santiago de Chile
The Curriculum (Ministry of Education 2006)
emphasis  thinking The Curriculum (Ministry of Education 2006)
emphasis  visualization
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Kyla ? $28 – $9 = $19 Kyla has $19. Jake ? $9 $28
Ming 48 Naomi 48 ÷ 4 = 12 3 x 12 = 36 Ming has 36 candies.
15   3 units  15 18 units  6 x 15 = 90 apples There are 90 fruits in the basket.
Method 1  3 units  15 18 units  6 x 15 = 60 + 30 = 90 18 units  6 x 15 = 3 x 30 = 90 Method 2  3 units  15  1 unit    5 18 units  18 x 5 = 50 + 40 = 90 18 units  18 x 5 = 180 ÷ 2 = 90
Allan’s allowance = 4 x $8 = $32 $24 ÷ 3 = $8 $6 $18
Mon Tue $3 $100 Wed $3 $3 Thu $3 $3 $3 $100 – 6 x $3 = $82 $82 ÷ 4 = $20.50 $20.50 + 3 x $3 = $29.50 She saved $29.50 on Thursday.
adults children 2 units  380 – 260 = 120  1 unit  60  260 – 60   = 200 200 + 200 = 400 400 people left at lunchtime.
apples 90 oranges 38 pears 15
apples 90 oranges pears 15 23
90 + 15 = 105 5 units  1 unit   105 ÷ 5 = 21 There were (21 + 21 + 23) apples, hence oranges. There were 44 oranges used. apples ? oranges pears 15 23
What if we have drawn 38 to be much longer? apples 90 oranges 38 pears 15
What if we have drawn 38 to be much longer? apples 105 oranges 38 pears We still get 5 units  105
One other way to solve it … Number of oranges left = x Number of apples left = 2x Number of pears left = 2x – 15  x + 2x + 2x – 15 = 90 5x = 105   x = 21 Number of pears left = 2 x 21 – 15 = 27 Number of pears at first = 38 + 27 = 65 Number of oranges at first = 65 Number of oranges used = 65 – x = 65 – 21 = 44
18% 342 24% 76% 76%  342 Mr Wong had 450 books at first.  1%  4.5  100%  450
Xueling + Siti (64) Jane (16) (24 – 16) units = 8 units  8 units = 14 shells 40 units = 5 x 14 shells 40 units = (50 + 20) shells Xueling collected 70 shells. Jane + Xueling Siti (24) (40)
This problem requires the ability to visualize.
x + b + d = 180 b x d
y e y + c + e = 180 c
a e b x y By the same logic: ,[object Object]
y + c + e = 180
z + a + d = 180

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RGPS Seminar for Parents (Revised)

  • 1. Using The Model Method to Solve Word Problems DrYeap Ban Har Marshall Cavendish Institute Singapore Slides are available at www.banhar.blogspot.com CollegioDagoberto Godoy, Santiago de Chile
  • 2. The Curriculum (Ministry of Education 2006)
  • 3. emphasis thinking The Curriculum (Ministry of Education 2006)
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  • 13. Kyla ? $28 – $9 = $19 Kyla has $19. Jake ? $9 $28
  • 14. Ming 48 Naomi 48 ÷ 4 = 12 3 x 12 = 36 Ming has 36 candies.
  • 15. 15 3 units  15 18 units  6 x 15 = 90 apples There are 90 fruits in the basket.
  • 16. Method 1 3 units  15 18 units  6 x 15 = 60 + 30 = 90 18 units  6 x 15 = 3 x 30 = 90 Method 2 3 units  15 1 unit  5 18 units  18 x 5 = 50 + 40 = 90 18 units  18 x 5 = 180 ÷ 2 = 90
  • 17. Allan’s allowance = 4 x $8 = $32 $24 ÷ 3 = $8 $6 $18
  • 18. Mon Tue $3 $100 Wed $3 $3 Thu $3 $3 $3 $100 – 6 x $3 = $82 $82 ÷ 4 = $20.50 $20.50 + 3 x $3 = $29.50 She saved $29.50 on Thursday.
  • 19. adults children 2 units  380 – 260 = 120 1 unit  60 260 – 60 = 200 200 + 200 = 400 400 people left at lunchtime.
  • 20. apples 90 oranges 38 pears 15
  • 21. apples 90 oranges pears 15 23
  • 22. 90 + 15 = 105 5 units  1 unit  105 ÷ 5 = 21 There were (21 + 21 + 23) apples, hence oranges. There were 44 oranges used. apples ? oranges pears 15 23
  • 23. What if we have drawn 38 to be much longer? apples 90 oranges 38 pears 15
  • 24. What if we have drawn 38 to be much longer? apples 105 oranges 38 pears We still get 5 units  105
  • 25. One other way to solve it … Number of oranges left = x Number of apples left = 2x Number of pears left = 2x – 15 x + 2x + 2x – 15 = 90 5x = 105 x = 21 Number of pears left = 2 x 21 – 15 = 27 Number of pears at first = 38 + 27 = 65 Number of oranges at first = 65 Number of oranges used = 65 – x = 65 – 21 = 44
  • 26. 18% 342 24% 76% 76%  342 Mr Wong had 450 books at first. 1%  4.5 100%  450
  • 27. Xueling + Siti (64) Jane (16) (24 – 16) units = 8 units 8 units = 14 shells 40 units = 5 x 14 shells 40 units = (50 + 20) shells Xueling collected 70 shells. Jane + Xueling Siti (24) (40)
  • 28. This problem requires the ability to visualize.
  • 29. x + b + d = 180 b x d
  • 30. y e y + c + e = 180 c
  • 31.
  • 32. y + c + e = 180
  • 33. z + a + d = 180
  • 34. v + b + e = 180
  • 35. w + a + c = 180z w v d c 2a + 2 b + 2c + 2d + 2e + x + y + z + v + w = 5 x 180 x + y + z + v + w = 3 x 180 Hence, a + b + c + d + e = 180
  • 36. Using The Model Method to Solve Word Problems DrYeap Ban Har Marshall Cavendish Institute Singapore Slides are available at www.banhar.blogspot.com
  • 37. Mani has 245 ten-cent coins and 455 five-cent coins. Nina has 165 ten-cent coins and 135 five-cent coins. After Mani gives Nina some coins, of Mani’s coins are ten-cent ones and the ratio of the number of Nina’s five-cent coins to the number of her one-cent coins is 3 : 2. They have only five-cent and one-cent coins. Using The Model Method to Solve Word Problems Slides are available at www.banhar.blogspot.com Post Your Solutions on MCI’s Facebook Find the number of coins Mani gives to Nina.