mathematics<br />Yeap Ban Har<br />Marshall Cavendish Institute, Singapore<br />& Pathlight School, Singapore<br />banhar....
Woodlands Primary School<br /><ul><li>The Curriculum
The Format
Mental Strategies
Visual Strategies
Core Competencies in Problem Solving</li></ul>mathematics<br />ORGANIZED BY<br />
The Curriculum<br />
The Curriculum<br />
Reference: Page 80<br />The Format<br />
Just-for-Fun Problem<br />
3x + 4y + 5z = 50<br />1           5<br />7<br />3           4<br />6<br />x + y + z = 13<br />5           3<br />5<br />3...
Which of the following numbers is the largest?<br />6.59<br />6.95<br />6.509<br />6.905<br />See Examples on Page 1<br />...
Mental Strategies<br />A movie started at 11.55 p.m. and ended at 1.30 a.m. How long was the movie in hours and minutes?<b...
Mental Strategies<br />A machine can print 80 cards in 3 minutes.<br />At this rate, how many cards can it print in 1 hour...
Mental Strategies<br />Specimen Paper Question 9<br />12 kg<br />3<br />4 kg<br />The Really Basic Stuff<br />
Mental Strategies<br />Specimen Paper Question 10<br />47<br />137 and 43 makes 180<br />90<br />100, 137<br />The Really ...
Mental Strategies<br />Find the value of 1000 – 724 .<br />Find the value of 1050 – 264 .<br />999 – 724 <br />724 and  m...
Mental Strategies<br />Find the value of 1000 – 724 .<br />Find the value of 1050 – 264 .<br />1000 + 50 <br />990+ 60<br ...
Mental Strategies<br />Find the value of 12.2 ÷ 4 .<br />12 ÷ 4 <br />2 tenths ÷ 4<br />20 hundredths ÷ 4<br />3.05<br />S...
Find the value of 12.2 ÷ 4 .<br />See Examples on Page 10<br />The Really Basic Stuff<br />
Mental Strategies<br />Find the value of  35 ÷ 6 .<br /> <br />See Examples on Page 9<br />The Really Basic Stuff<br />
Visual Strategies<br />Find the value of  35 ÷ 6 .<br /> <br />See Examples on Page 9<br />The Really Basic Stuff<br />
Visual Strategies<br />Find the value of  35 ÷ 6 .<br /> <br />See Examples on Page 9<br />The Really Basic Stuff<br />
The Curriculum<br />
Pens are sold in packets of 5 pens. Each packet is sold at $7.<br />Gopal has $30. How many pens can he buy at most?<br />...
Pens are sold in packets of 5 pens. Each packet is sold at $7.<br />Gopal has $30. How many pens can he buy at most?<br />...
Foundation Mathematics Specimen Paper 2<br />Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes...
Foundation Mathematics Specimen Paper 2<br />Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes...
Foundation Mathematics Specimen Paper 2<br />Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes...
2-marks items are typically two steps with a few requiring competencies that are required in problem solving.<br />See Spe...
See Specimen Paper 1 Questions 26 – 30 <br />Question 30<br />Basic Problem Solving<br />
2-marks items are typically two steps with a few requiring competencies that are required in problem solving.<br />See Pag...
PSLE 2006 – 2010 Page 13 Question 45 <br />Problems that Requires Visualization<br />
Problems that Requires Visualization<br />
Problems that Requires Visualization<br />
Source<br />My Pals Are Here! Mathematics Primary 4<br />
See Page 13<br />PSLE 2006 – 2010 Page 13 Question 46 <br />1.2 m x 42 = 50.4 m<br />43 – 6 = 37   There were 36 spacing<b...
See Page 19<br />PSLE 2006 – 2010 Page 19 Question 58 <br />
PSLE 2006 – 2010 Page 19 Question 58 <br />3 x ? = 2 + 25	<br />? = 9	<br />There were 10 girls.	<br />There were 9 x 11 +...
See Page 19<br />PSLE 2006 – 2010 Page 19 Question 58 <br />Guess		when each tried taking 11<br />33                     L...
PSLE 2006 – 2010 Page 19 Question 58 <br />List 1		            List 2<br />11 + 6	<br />22 + 6<br />33 + 6<br />44 + 6<br ...
PSLE 2006 – 2010 Page 19 Question 58 <br />List 1		            List 2<br />11 + 6	<br />22 + 6<br />33 + 6<br />44 + 6<br ...
PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pe...
PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pe...
PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pe...
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Association of Mathematics Educators Seminar on PSLE Mathematics

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

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Association of Mathematics Educators Seminar on PSLE Mathematics

  1. 1. mathematics<br />Yeap Ban Har<br />Marshall Cavendish Institute, Singapore<br />& Pathlight School, Singapore<br />banhar.yeap@pathlight.org.sg<br />www.banhar.blogspot.com<br />12 March 2011 @ Raffles Institution<br />ORGANIZED BY<br />
  2. 2. Woodlands Primary School<br /><ul><li>The Curriculum
  3. 3. The Format
  4. 4. Mental Strategies
  5. 5. Visual Strategies
  6. 6. Core Competencies in Problem Solving</li></ul>mathematics<br />ORGANIZED BY<br />
  7. 7. The Curriculum<br />
  8. 8. The Curriculum<br />
  9. 9. Reference: Page 80<br />The Format<br />
  10. 10. Just-for-Fun Problem<br />
  11. 11. 3x + 4y + 5z = 50<br />1 5<br />7<br />3 4<br />6<br />x + y + z = 13<br />5 3<br />5<br />3x + 3y + 3z = 39<br />7 2<br />4<br />y + 2z = 11<br />9 1<br />3<br />2<br />11 0 <br />Just-for-Fun Problem: Solution<br />
  12. 12. Which of the following numbers is the largest?<br />6.59<br />6.95<br />6.509<br />6.905<br />See Examples on Page 1<br />The Really Basic Stuff<br />
  13. 13. Mental Strategies<br />A movie started at 11.55 p.m. and ended at 1.30 a.m. How long was the movie in hours and minutes?<br />12.00<br />1.00<br />1.30<br />There are 10 such MCQs in PSLE Mathematics.<br />See Specimen Paper 1 Questions 1 – 10.<br />The Really Basic Stuff<br />
  14. 14. Mental Strategies<br />A machine can print 80 cards in 3 minutes.<br />At this rate, how many cards can it print in 1 hour?<br />30 minutes<br />1 hour<br />The Really Basic Stuff<br />
  15. 15. Mental Strategies<br />Specimen Paper Question 9<br />12 kg<br />3<br />4 kg<br />The Really Basic Stuff<br />
  16. 16. Mental Strategies<br />Specimen Paper Question 10<br />47<br />137 and 43 makes 180<br />90<br />100, 137<br />The Really Basic Stuff<br />
  17. 17. Mental Strategies<br />Find the value of 1000 – 724 .<br />Find the value of 1050 – 264 .<br />999 – 724 <br />724 and  makes 1000<br />275<br />So, 1000 – 724 <br />There are 10 such SAQs in PSLE Mathematics.<br />See Examples on Page 9<br />The Really Basic Stuff<br />
  18. 18. Mental Strategies<br />Find the value of 1000 – 724 .<br />Find the value of 1050 – 264 .<br />1000 + 50 <br />990+ 60<br />986+ 64<br />786<br />See Examples on Page 9<br />The Really Basic Stuff<br />
  19. 19. Mental Strategies<br />Find the value of 12.2 ÷ 4 .<br />12 ÷ 4 <br />2 tenths ÷ 4<br />20 hundredths ÷ 4<br />3.05<br />See Examples on Page 10<br />The Really Basic Stuff<br />
  20. 20. Find the value of 12.2 ÷ 4 .<br />See Examples on Page 10<br />The Really Basic Stuff<br />
  21. 21. Mental Strategies<br />Find the value of 35 ÷ 6 .<br /> <br />See Examples on Page 9<br />The Really Basic Stuff<br />
  22. 22. Visual Strategies<br />Find the value of 35 ÷ 6 .<br /> <br />See Examples on Page 9<br />The Really Basic Stuff<br />
  23. 23. Visual Strategies<br />Find the value of 35 ÷ 6 .<br /> <br />See Examples on Page 9<br />The Really Basic Stuff<br />
  24. 24. The Curriculum<br />
  25. 25. Pens are sold in packets of 5 pens. Each packet is sold at $7.<br />Gopal has $30. How many pens can he buy at most?<br />Answer: ________________<br />See Examples on Page 12<br />Basic Problem Solving<br />
  26. 26. Pens are sold in packets of 5 pens. Each packet is sold at $7.<br />Gopal has $30. How many pens can he buy at most?<br />Answer: ________________<br />See Examples on Page 12<br />Basic Problem Solving<br />
  27. 27. Foundation Mathematics Specimen Paper 2<br />Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that <br />can be bought with $95?<br />$95 ÷ 40 cents = 237 remainder 20 cents<br />Answer: ________________<br />Basic Problem Solving<br />
  28. 28. Foundation Mathematics Specimen Paper 2<br />Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that <br />can be bought with $95?<br />$95 ÷ 40 cents = 237.5<br />Answer: ________________<br />Basic Problem Solving<br />
  29. 29. Foundation Mathematics Specimen Paper 2<br />Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that <br />can be bought with $95?<br />$95 ÷ 40 cents = 237.5<br />Answer: ________________<br />Basic Problem Solving<br />
  30. 30. 2-marks items are typically two steps with a few requiring competencies that are required in problem solving.<br />See Specimen Paper 1 Questions 26 – 30 <br />Question 29<br /> 5 : 1<br /> 6 : 1<br />Question 29<br /> 5 : 1 = 35 : 7<br /> 6 : 1 = 36 : 6<br /> Answer: 71 : 13<br />There are 5 such SAQs in each Paper.<br />Basic Problem Solving<br />
  31. 31. See Specimen Paper 1 Questions 26 – 30 <br />Question 30<br />Basic Problem Solving<br />
  32. 32. 2-marks items are typically two steps with a few requiring competencies that are required in problem solving.<br />See Page 13<br />Problems that Requires Visualization<br />
  33. 33. PSLE 2006 – 2010 Page 13 Question 45 <br />Problems that Requires Visualization<br />
  34. 34. Problems that Requires Visualization<br />
  35. 35. Problems that Requires Visualization<br />
  36. 36.
  37. 37. Source<br />My Pals Are Here! Mathematics Primary 4<br />
  38. 38. See Page 13<br />PSLE 2006 – 2010 Page 13 Question 46 <br />1.2 m x 42 = 50.4 m<br />43 – 6 = 37 There were 36 spacing<br />50.4 m ÷ 36 = 1.4 m The new spacing was 1.4 m. <br />
  39. 39.
  40. 40. See Page 19<br />PSLE 2006 – 2010 Page 19 Question 58 <br />
  41. 41. PSLE 2006 – 2010 Page 19 Question 58 <br />3 x ? = 2 + 25 <br />? = 9 <br />There were 10 girls. <br />There were 9 x 11 + 6 = 8 x 10 + 25 = 105 sweets altogether. <br />
  42. 42. See Page 19<br />PSLE 2006 – 2010 Page 19 Question 58 <br />Guess when each tried taking 11<br />33 Last girl had 11 sweets <br />41 Last girl had 8 sweets <br />49 Last girl had 5 sweets <br />57 Last girl had 2 sweets <br />
  43. 43. PSLE 2006 – 2010 Page 19 Question 58 <br />List 1 List 2<br />11 + 6 <br />22 + 6<br />33 + 6<br />44 + 6<br />55 + 6<br />66 + 6 <br />16 + 25<br />24 + 25<br />32 + 25<br />40 + 25<br />48 + 25<br />56 + 25 <br />
  44. 44. PSLE 2006 – 2010 Page 19 Question 58 <br />List 1 List 2<br />11 + 6 <br />22 + 6<br />33 + 6<br />44 + 6<br />55 + 6<br />66 + 6<br />77 + 6<br />88 + 6<br />99 + 6 <br />16 + 25<br />24 + 25<br />32 + 25<br />40 + 25<br />48 + 25<br />56 + 25<br />64 + 25<br />72 + 25<br />80 + 25 <br />
  45. 45. PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pears<br />38<br />
  46. 46. PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pears<br />38<br />
  47. 47. PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pears<br />23<br />15<br />15<br />
  48. 48. PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />5 units = 90 + 15 = 105<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pears<br />105 : 5 <br />= 21<br />Number of oranges used<br />= 65 – 21 = 44<br />23<br />15<br />15<br />Number of pears = 21 + 21 + 23 =65<br />
  49. 49. PSLE 2006 – 2010 Page 18 Question 55 <br />See Page 18<br />5 units = 90 + 15 = 105<br />Number of Apples<br />Number of Oranges<br />Number of<br />Pears<br />105 : 5 <br />= 21<br />Number of oranges used<br />= 65 – 21 = 44<br />23<br />15<br />15<br />Number of pears = 21 + 21 + 23 =65<br />
  50. 50. Woodlands Primary School<br />mathematics<br /><ul><li>The Curriculum
  51. 51. The Format
  52. 52. Mental Strategies
  53. 53. Visual Strategies
  54. 54. Core Competencies in Problem Solving
  55. 55. Visualization
  56. 56. Patterns & Relationship
  57. 57. Number Sense
  58. 58. Metacognition
  59. 59. Communication</li></ul>banhar.yeap@pathlight.org.sg<br />www.banhar.blogspot.com<br />www.banhar.blogspot.com<br />ORGANIZED BY<br />
  60. 60. Woodlands Primary School<br />Go to Marshall Cavendish Institute’s Facebook for Diary of Parent Education Courses and Teacher Professional Development opportunities.<br />banhar.yeap@pathlight.org.sg<br />www.banhar.blogspot.com<br />www.banhar.blogspot.com<br />ORGANIZED BY<br />
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