Parents Seminar on Heuristics at Chongfu School

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This is the set of slides used at the seminar for Primary Five parents at Chongfu School in March 2011.

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Parents Seminar on Heuristics at Chongfu School

  1. 1. Help Your Child in Problem-Solving Heuristics<br />Dr Yeap Ban Har<br />banhar.yeap@pathlight.org.sg<br />Marshall Cavendish Institute<br />Singapore<br />www.banhar.com<br />Photo Credit: Students solving a mathematics problem using draw-a-diagram heuristic at Da Qiao Primary School.<br />
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  3. 3. Heuristics are rule of thumb that students can use to handle a problem when the solution is not obvious.<br />
  4. 4. The problems used in the presentation are from PSLE Examination Questions Years 2006 – 2010 Mathematics published by Educational Publishing House Pte Ltd. <br />
  5. 5. PSLE 2006 – 2010 Page 13 Question 45 <br />
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  10. 10. Photo Credit: Primary 2 students at Woodlands Primary School using manipulatives to do multiplication and division.<br />
  11. 11. 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 <br />The new spacing was 1.4 m. <br />
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  13. 13. 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 />
  14. 14. 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 />
  15. 15. 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 />
  16. 16. 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 />
  17. 17. PSLE 2006 – 2010 Page 19 Question 58 <br />There were 10 girls. <br />11m + 6 = 8(m + 1) + 25 <br />m = 9 <br />Alternate Method<br />8n + 25 = 11(n – 1) + 6 <br />n = 10 <br />
  18. 18. women<br />30<br />men<br />There were 4 x 30 = 120 men and women at first.<br />
  19. 19. Photo Credit: Primary 2 students at Woodlands Primary School using the interactive board to learn independently and collaboratively.<br />
  20. 20. Method 1<br />Azlan, Bala, Chris, Darren<br />Azlan, Bala, Chris, Enling<br />Azlan, Bala, Darren, Enling<br />Azlan, Chris, Darren, Enling<br />Bala, Chris, Darren, Enling, <br />Method 2<br />Selecting 4 persons from a group of 5 is the same as to leave out one person from a group of 5.<br />There are 5 ways to leave out 1 person from a group of 5.<br />Hence there are 5 ways to select 4 prefects from a group of 5 students.<br />
  21. 21. 1 third <br />= 4/12<br />remainder<br />= 5/12<br />1 fourth = 3/12<br />38 + 57 = 95<br />2 fifths  38 peaches<br />2 fifths  38 peaches<br />1 fifth  19 peaches<br />3 fifths  3 x 19 pears = 57 pears<br />5/12  95 fruits<br />1/12  19 fruits<br />There were 12 x 19 fruits or 228 fruits. <br />

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