1. Singapore Math Learning approach developed to instill mathematical thinking at every stage. Through this, students can solve formidable problems early. They learn Algebra without using the word Algebra. It was developed in Singapore in the late 1970’s-early 1980’s, and was implemented in mid-1980’s.

2. Singapore Math Basic point: It goes from Concrete examples 3 3 Visual representation  Abstract to

3. Singapore Math Addition: 3 + 4 = 7 Concrete: Put together:

4. Singapore Math Addition: 3 + 4 = 7 Concrete: Put together:

5. Singapore Math Addition: 3 + 4 = 7 Concrete: Put together:

6. Singapore Math Addition: 3 + 4 Concrete: Put together: Total Bar-graph

7. Singapore Math Addition: 3 + 4 = ? Put together: Total Visual: ? 34 ?: Sum (total) Bar-graph

8. Singapore Math Addition: 3 + 4 = ? Put together: Total Visual: 7 34 7: Sum (total) Bar-graph

9. Singapore Math Subtraction: 7 - 4 Concrete: Remove 4:

10. Singapore Math Subtraction: 7 - 4 Concrete: Remove 4:

11. Singapore Math Subtraction: 7 - 4 Concrete: Remove 4:

12. Singapore Math Subtraction: 7 - 4 Concrete: Remove 4:

13. Singapore Math Subtraction: 7 - 4 Concrete: Remove 4: = 3

14. Singapore Math Subtraction: 7 - 4 Concrete: ? Visual: 7 4?

15. Singapore Math Multiplication: Concrete 3  5

16. Singapore Math Multiplication: Concrete 3  5

17. Singapore Math Multiplication: Visual 3  5 33333 ? ? = Product

18. Singapore Math Multiplication: Visual 3  5 33333 15 15 = Product

19. Singapore Math Division: Concrete 12  4 Make 4 equal group

20. Singapore Math Division: Concrete 12  4 Make 4 equal group

21. Singapore Math Division: Concrete 12  4 Make 4 equal group

22. Singapore Math Division: Concrete 12  4 Make 4 equal group

23. Singapore Math Division: Concrete 12  4 Make 4 equal group

24. Singapore Math Division: Concrete 12  4 Make 4 equal group

25. Singapore Math Division: Concrete 12  4 Make 4 equal group

26. Singapore Math Division: Concrete 12  4 Make 4 equal group

27. Singapore Math Division: Concrete 12  4 Make 4 equal group

28. Singapore Math Division: Concrete 12  4 Make 4 equal group

29. Singapore Math Division: Concrete 12  4 Make 4 equal group

30. Singapore Math Division: Concrete 12  4 Make 4 equal group

31. Singapore Math Division: Concrete 12  4 Make 4 equal group

32. Singapore Math Division: Concrete 12  4

33. Singapore Math Division: Concrete 12  4 Make 4 equal group

34. Singapore Math Division: Concrete 12  4 Make 4 equal group

35. Singapore Math Division: Concrete 12  4 Make 4 equal group

36. Singapore Math Division: Concrete 12  4 Make 4 equal group

37. Singapore Math Division: Concrete 12  4 Make 4 equal group

38. Singapore Math Division: Visual 12  4 12

39. Singapore Math Division: Visual 12  4 ???? 12

40. Singapore Math Division: Visual 12  4 ???? 12

41. Singapore Math Division: Visual 12  4 3333 12

42. Singapore Math One uses visuals to solve complex problems. Various Singapore Math books are full of challenging problems.

43. Singapore Math Advantages: Easy to identify mathematical operation. Gives access to solve multi-step complex problems easily Students solve word problems by identifying the given information and determine the unknowns.

44. Examples of exercises that require thinking Where would the ball be if the length of the string is doubled?

45. Examples of exercises that require thinking Draw the correct number of O on the right side of Scale C so that it is balanced.

46. Examples of exercises that require thinking 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 cm What is the length of the ribbon?

47. Examples of exercises that require thinking The heaviest object is _____. The lightest object is _____. Study the diagram below and answer the questions

48. Examples of exercises that require thinking +  + = 20 = 70 = ___

49. Examples of exercises that require thinking Mrs. Tan baked 50 cookies. She gave 8 cookies to each of her two sons. Her daughter received 4 more cookies than each son. (a) How many cookies did Mrs. Tan give to her sons and daughter altogether? (b) How many cookies are left?

50. Examples of exercises that require thinking A farmer wants to know how many pigs and hens are on his farm. He asks his children to count the animals on the farm. His children determined that there are 70 heads of pigs and hens and 200 legs altogether. How many pigs and hens are on the farm?

51. Examples of exercises that require thinking Mary took a test that had 30 questions. She received 5 points for each correct answer, but lost 2 points for each incorrect answer. She scored 115 points on this test. How many of the answers were correct and incorrect?

52. Examples of exercises that require thinking Sue invited her four friends at her home. She will serve everyone including her self a glass of orange juice. It takes two oranges to make a glass of orange juice. She has three oranges. How many more oranges are needed so there is a glass of orange juice for everyone?