This session focuses on the use of the bar model to solve a range of problems. The presenter modelled a range of teacher behaviour to help students acquire the competencies that they are supposed to by engaging in word problems. It was presented at the Indianapolis conference. We hope not too many people were not able to get a seat at the session. If you were not able to gain entry to the session, please accept our apologies.

1. SINGAPORE MATH Bar Model Method DrYeap Ban Har Marshall Cavendish Institute Singapore banhar@sg.marshallcavendish.com Slides are available at www.banhar.blogspot.com Indianapolis Convention Center

2. MCI-WSU Singapore Math Summer Institute 6 – 8 July 2011 Comprehensive program taught collaboratively by Singapore mathematics educators and WSU’s professors.

4. The Curriculum (Ministry of Education 2006)

5. Kyla ? $28 – $9 = $19 Kyla has $19. Jake ? $9 $28

6. Ming 48 Naomi 48 ÷ 4 = 12 3 x 12 = 36 Ming has 36 candies.

7. 15 3 units  15 18 units  6 x 15 = 90 apples There are 90 fruits in the basket.

8. 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

9. Question What if the fraction is such it is not easy to split the remainder part? See the example presented in the morning session.

10. Allan spent ¼ of his allowance on a gift and ¼ of the remainder on a book. The book cost $18. Find the amount of Allan’s allowance. Allan’s allowance = 4 x $24 = $96 $72 ÷ 3 = $24 4 x $18 = $72

11. 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.

12. adults children 2 units  380 – 260 = 120 1 unit  60 260 – 60 = 200 200 + 200 = 400 400 people left at lunchtime.

13. apples 90 oranges 38 pears 15

14. apples 90 oranges pears 15 23

15. 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

16. Extra Problem For you to try. Do not peek at the answer before you try it!

17. 18% 342 24% 76% 76%  342 Mr Wong had 450 books at first. 1%  4.5 100%  450

18. MCI-WSU Singapore Math Summer Institute 6 – 8 July 2011 Comprehensive program taught collaboratively by Singapore mathematics educators and WSU’s professors.