This seminar was for parents and teachers interested in helping students in preparing for the PSLE Mathematics.

1. mathematics Yeap Ban Har Marshall Cavendish Institute, Singapore & Pathlight School, Singapore banhar.yeap@pathlight.org.sg www.banhar.blogspot.com 12 March 2011 @ Raffles Institution ORGANIZED BY

3. The Format

4. Mental Strategies

5. Visual Strategies

6. Core Competencies in Problem Solvingmathematics ORGANIZED BY

7. The Curriculum

8. The Curriculum

9. Reference: Page 80 The Format

10. Just-for-Fun Problem

11. 3x + 4y + 5z = 50 1 5 7 3 4 6 x + y + z = 13 5 3 5 3x + 3y + 3z = 39 7 2 4 y + 2z = 11 9 1 3 2 11 0 Just-for-Fun Problem: Solution

12. Which of the following numbers is the largest? 6.59 6.95 6.509 6.905 See Examples on Page 1 The Really Basic Stuff

13. Mental Strategies A movie started at 11.55 p.m. and ended at 1.30 a.m. How long was the movie in hours and minutes? 12.00 1.00 1.30 There are 10 such MCQs in PSLE Mathematics. See Specimen Paper 1 Questions 1 – 10. The Really Basic Stuff

14. Mental Strategies A machine can print 80 cards in 3 minutes. At this rate, how many cards can it print in 1 hour? 30 minutes 1 hour The Really Basic Stuff

15. Mental Strategies Specimen Paper Question 9 12 kg 3 4 kg The Really Basic Stuff

16. Mental Strategies Specimen Paper Question 10 47 137 and 43 makes 180 90 100, 137 The Really Basic Stuff

17. Mental Strategies Find the value of 1000 – 724 . Find the value of 1050 – 264 . 999 – 724 724 and  makes 1000 275 So, 1000 – 724 There are 10 such SAQs in PSLE Mathematics. See Examples on Page 9 The Really Basic Stuff

18. Mental Strategies Find the value of 1000 – 724 . Find the value of 1050 – 264 . 1000 + 50 990+ 60 986+ 64 786 See Examples on Page 9 The Really Basic Stuff

19. Mental Strategies Find the value of 12.2 ÷ 4 . 12 ÷ 4 2 tenths ÷ 4 20 hundredths ÷ 4 3.05 See Examples on Page 10 The Really Basic Stuff

20. Find the value of 12.2 ÷ 4 . See Examples on Page 10 The Really Basic Stuff

21. Mental Strategies Find the value of 35 ÷ 6 . See Examples on Page 9 The Really Basic Stuff

22. Visual Strategies Find the value of 35 ÷ 6 . See Examples on Page 9 The Really Basic Stuff

23. Visual Strategies Find the value of 35 ÷ 6 . See Examples on Page 9 The Really Basic Stuff

24. The Curriculum

25. Pens are sold in packets of 5 pens. Each packet is sold at $7. Gopal has $30. How many pens can he buy at most? Answer: ________________ See Examples on Page 12 Basic Problem Solving

26. Pens are sold in packets of 5 pens. Each packet is sold at $7. Gopal has $30. How many pens can he buy at most? Answer: ________________ See Examples on Page 12 Basic Problem Solving

27. Foundation Mathematics Specimen Paper 2 Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that can be bought with $95? $95 ÷ 40 cents = 237 remainder 20 cents Answer: ________________ Basic Problem Solving

28. Foundation Mathematics Specimen Paper 2 Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that can be bought with $95? $95 ÷ 40 cents = 237.5 Answer: ________________ Basic Problem Solving

29. Foundation Mathematics Specimen Paper 2 Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that can be bought with $95? $95 ÷ 40 cents = 237.5 Answer: ________________ Basic Problem Solving

30. 2-marks items are typically two steps with a few requiring competencies that are required in problem solving. See Specimen Paper 1 Questions 26 – 30 Question 29 5 : 1 6 : 1 Question 29 5 : 1 = 35 : 7 6 : 1 = 36 : 6 Answer: 71 : 13 There are 5 such SAQs in each Paper. Basic Problem Solving

31. See Specimen Paper 1 Questions 26 – 30 Question 30 Basic Problem Solving

32. 2-marks items are typically two steps with a few requiring competencies that are required in problem solving. See Page 13 Problems that Requires Visualization

33. PSLE 2006 – 2010 Page 13 Question 45 Problems that Requires Visualization

34. Problems that Requires Visualization

35. Problems that Requires Visualization

37. Source My Pals Are Here! Mathematics Primary 4

38. See Page 13 PSLE 2006 – 2010 Page 13 Question 46 1.2 m x 42 = 50.4 m 43 – 6 = 37 There were 36 spacing 50.4 m ÷ 36 = 1.4 m The new spacing was 1.4 m.

40. See Page 19 PSLE 2006 – 2010 Page 19 Question 58

41. PSLE 2006 – 2010 Page 19 Question 58 3 x ? = 2 + 25 ? = 9 There were 10 girls. There were 9 x 11 + 6 = 8 x 10 + 25 = 105 sweets altogether.

42. See Page 19 PSLE 2006 – 2010 Page 19 Question 58 Guess when each tried taking 11 33 Last girl had 11 sweets 41 Last girl had 8 sweets 49 Last girl had 5 sweets 57 Last girl had 2 sweets

43. PSLE 2006 – 2010 Page 19 Question 58 List 1 List 2 11 + 6 22 + 6 33 + 6 44 + 6 55 + 6 66 + 6 16 + 25 24 + 25 32 + 25 40 + 25 48 + 25 56 + 25

44. PSLE 2006 – 2010 Page 19 Question 58 List 1 List 2 11 + 6 22 + 6 33 + 6 44 + 6 55 + 6 66 + 6 77 + 6 88 + 6 99 + 6 16 + 25 24 + 25 32 + 25 40 + 25 48 + 25 56 + 25 64 + 25 72 + 25 80 + 25

45. PSLE 2006 – 2010 Page 18 Question 55 See Page 18 Number of Apples Number of Oranges Number of Pears 38

46. PSLE 2006 – 2010 Page 18 Question 55 See Page 18 Number of Apples Number of Oranges Number of Pears 38

47. PSLE 2006 – 2010 Page 18 Question 55 See Page 18 Number of Apples Number of Oranges Number of Pears 23 15 15

48. PSLE 2006 – 2010 Page 18 Question 55 See Page 18 5 units = 90 + 15 = 105 Number of Apples Number of Oranges Number of Pears 105 : 5 = 21 Number of oranges used = 65 – 21 = 44 23 15 15 Number of pears = 21 + 21 + 23 =65

49. PSLE 2006 – 2010 Page 18 Question 55 See Page 18 5 units = 90 + 15 = 105 Number of Apples Number of Oranges Number of Pears 105 : 5 = 21 Number of oranges used = 65 – 21 = 44 23 15 15 Number of pears = 21 + 21 + 23 =65

51. The Format

52. Mental Strategies

53. Visual Strategies

54. Core Competencies in Problem Solving

55. Visualization

56. Patterns & Relationship

57. Number Sense

58. Metacognition

59. Communicationbanhar.yeap@pathlight.org.sg www.banhar.blogspot.com www.banhar.blogspot.com ORGANIZED BY

60. Woodlands Primary School Go to Marshall Cavendish Institute’s Facebook for Diary of Parent Education Courses and Teacher Professional Development opportunities. banhar.yeap@pathlight.org.sg www.banhar.blogspot.com www.banhar.blogspot.com ORGANIZED BY