1. welcome Calculation Techniques in Numbers

2. 7 MATHEMATICS × + 3 - ÷ 5 8 = NUMBER AND OPERATION

3. THE STORY OF 3 FROGS

4. hy it is W important ?

5. Analysis UPSR Mathematics Paper Topic Whole Number Opr. + - × ÷ Mixed Operation Fractions Decimal Money Time Length Mass Volume of Liquid Shape & Space Average Percentage Data Handling Total The number of questions according to year. 2000 Paper 1 2 2 3 1 1 1 1 5 3 3 2 6 1 2 2 3 2 1 1 2 - 6 2 2 1 3 1 3 - 40 20 2001 Paper 1 2 2 2 1 2 2 1 5 2 5 2 5 1 2 3 1 1 1 1 2 1 6 2 2 1 3 1 3 - 40 20 2002 Paper 1 2 2 2 2 3 3 2 3 2 4 2 4 1 3 1 3 1 3 1 2 1 4 2 2 1 3 1 2 - 40 20 2003 Paper 1 2 3 2 1 2 3 1 3 4 2 1 1 2 4 1 4 1 4 2 3 1 5 2 - 1 3 - 4 - 40 20 2004 Paper 1 2 1 2 2 1 2 2 4 2 3 1 5 3 4 1 4 - 2 2 3 1 4 2 2 1 2 2 2 - 40 20 2005 Paper 1 2 2 1 2 - 3 1 3 3 3 1 5 2 3 2 3 - 3 3 3 1 4 3 1 1 2 2 3 - 40 20 2006 Paper 1 2 1 1 3 - 1 2 4 2 3 1 4 1 3 2 1 1 2 2 4 - 5 3 2 2 4 3 3 - 40 20

7. 2. Write numbers NUMBER b) In numeral Example : Five million eleven thousand and seventy. 5 011 070 Step 2 : a) In words Example : 3 2 0 9 6 4 0 M T O Three million two hundred nine thousand six hundred and forty. 5 11 70 M T O Step 1 :

8. 3. Value of Number NUMBER a) Place value 3 2 0 9 6 4 0 M HTh TTh Th O T H b) Digit value 3 000 000 0 90 000 4000 7 800 50 3 0 9 4 8 5 7

10. 5. Form the Number The smallest number 4 5 2 0 9 3 If there is the zero digit, put it after the first bigger number than Zero. NUMBER 9 4 5 2 0 3 The biggest number 9 4 5 2 0 3 Write the biggest digit first.

11. 6. Arrange the Number NUMBER Example : 4 567, 5 764, 7 546, 6 754 Ascending order ( 4 567, 5 764, 6 754 , 7 546 ) Descending order ( 7 546, 6 754, 5 764, 4 567 )

12. 7. Same Value NUMBER 16 tens = 16 0 ( ten has one zero ) Example : 121 hundreds = 121 00 ( hundred has two zeroes)

13. 8. Compare the Number 35 965 and 35 659 Example : NUMBER 35 965 > 35 659 More than 35 959 < 35 965 Less than

14. NUMBER Round off 23 654 to the nearest thousands Example : Step 1 State the thousands place value 2 3 654 Step 3 23 654 is near to 24 000 24 000 Step 2 23 654 is near to 4000 or 3000 3 000 4 000 2 3 654

15. Round off to the nearest hundreds 4 5 7 0 0 7 1 4 5 7 2 8 7 3 7 4 7 5 7 6 7 7 7 8 7 9 4 5 8 0 0 NUMBER Near Far

16. Round off to the nearest ten thousands 1 3 5 0 0 0 0 5 1 5 2 5 3 5 4 5 5 5 6 1 3 5 7 4 9 2 5 8 5 9 1 3 6 0 0 0 0 NUMBER Near Far

17. 4 × + 9 - ÷ 2 7 = Let’s have fun with the number!

18. BASIC FACT - ADDITION ADDITION 6 + 7 = 6 + 4 + 3 = 13 1 6 + 6 + 1 = 13 2 Count on 3

19. 3 15 + 12 ADDITION 83 64 + 79 16 + 21 10 12 + 07 56 + 79 = 56 + 79 135 2 120 + 15 135 50 + 70 6 + 9 120 +15 135 56 + 79 1 1 226 129 + 683 812

20. 4 12 13642 13 08 11 1069318 03 391 ADDITION 15 12 20 17 05 21 10 18 4534 726 + 8382 128 + 263 123456 7890 12325 + 925647 + + +

21. 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11+ 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210 Find the Pairs of Ten ADDITION

22. 2 356 709 647 935 768 171 1 452 355 + 84 953 3 2 2 2 1 3 0 3 1 3 3 2 5 ADDITION Find the Pairs of Ten

23. CUTTING SYSTEM 4 3 2 1 1 1 3 1 3 3 1 2 ADDITION 0 3 3 1 8 3 5 7 7 1 8 1 1 5 1 1 43 79 68 37 65 + 38 42532 1458 91457 + 700324 785634 65938 186639 9763 + 103207

25. Cutting System Ordinary way 1 6 2 6 1 1 8 7 5 6 4 8 3 1 10 10 10 2 3 10 10 10 2 4 3 4 - 1 8 2 6 3 - 1 7 6 3 3 6 7 4 5 - 9 5 3 9 7 34 - 18 2 14

26. Pairs of Ten Ordinary way 1 0 0 2 2 SUBTRACTION 6 1 4 1 4 8 2 6 0 8 2 3 34 - 18 1234 - 786 12836 - 9628 34 - 18 2 14

27. Less 1 10 - 1 = 9 100 - 1 = 99 1000 - 1 = 999 1000 – 1 678 - 1 2 SUBTRACTION 999 - 677 2 3 Example : 1000 – 678 = Ordinary way 1000 - 678 322

28. Ordinary way 27 × 6 42 12 327 × 4 28 08 12 9374 × 5 20 35 15 45 MULTIPLICATION + 2 6 1 8 0 3 1 0 7 8 6 4 2D × 1D 3D × 1D 4D × 1D 27 × 6 162 + +

29. 9374 × 5 12468 × 4 123456 × 7 MULTIPLICATION 20 35 15 45 7 8 6 4 32 24 16 08 04 0 2 7 8 9 4 42 35 28 21 14 07 2 9 1 4 6 8 4D × 1D 5D × 1D 6D × 1D + + +

30. 2D × 2D 32 82 × 88 7216 36 × 34 1224 57 × 53 3021 MULTIPLICATION 42 56 24 2 3 0 5 Ordinary way 68 × 74 272 + 476 5032 68 × 74 Recreation +

31. LATTICE MULTIPLICATION 2 8 1 6 4 4 2 4 2 4 0 3 1 1 2D × 2D 4 6 × 7 4

32. LATTICE MULTIPLICATION 3D × 2D 2 4 3 8 1 2 1 3 8 7 × 6 3 8 1 8 4 4 2 0 9 2 4 2 1

33. BASIC FACT – MULTIPLICATION Introduce that: 2 a × b = b × a Example : 2 × 3 = 3 × 2 4 × 5 = 5 × 4 ? × 0 = 0 ? × 1 = the number itself MULTIPLICATION ( 0 × 0 9 × 9) Make the pupils understand that: 1 REY How To Teach Children Mathematics

34. Train pupils to do ‘Skip Counting’ 3 Introduce the Repeated Addition 4 2, 4, 6, 8, ……………………. 4, 8, 12, 16, ……………….. 7, 14, 21, 28, ……………… 2 + 2 + 2 + 2 3 + 3 + 3 + 3 and etc. Introduce the Multipurpose Multiplication Table * MULTIPLICATION

35. MMT (Multipurpose Multiplication Table) MULTIPLICATION 81 72 63 54 45 36 27 18 9 72 64 56 48 40 32 24 16 8 63 56 49 42 35 28 21 14 7 54 48 42 36 30 24 18 12 6 45 40 35 30 25 20 15 10 5 36 32 28 24 20 16 12 8 4 27 24 21 18 15 12 9 6 3 18 16 14 12 10 8 6 4 2 9 8 7 6 5 4 3 2 1

36. Train pupils with number patterns 5 Times 6, 7, 8 DIFFICULT ? Use multiplication table that pupils know. 6 0, 4, 8, __, 16, __, ……………………… 24, 28, __, __, 40, 44, ……………….. Example : 8 × 7 ( 8 × 5) + ( 8 × 2 ) MULTIPLICATION 40 + 16 = 56

39. The value of tens digit must be less than ones digit Example: = 9 + + ✓ 3 2 4 ✕ 36 × 9 =

40. The value of tens digit equals to ones digit Example: = 1 8 + + 6 9 3 77 × 9 = + = 9 ✕ ✓

41. The value of tens digit is more than ones digit Example: = 1 8 + + 6 5 7 73 × 9 = + = 9 ✕ ✓

43. ARITHMATICS WAY 2 3 X 5 = 5 1 0 1 + 5 1 1

44. ARITHMATICS WAY 4 6 5 7 X 7 = 9 4 5 3 2 4 8 2 + 9 9 5 2 3

45. ARITHMATICS WAY 4 9 X 3 4 = 6 3 6 1 7 2 2 1 + 6 6 6 1

46. ARITHMATICS WAY 3 8 6 X 1 6 = 6 3 8 4 8 1 6 0 8 0 3 0 + 6 7 1 6

47. Can you remember ..? Teachers……. No problem PUPILS ?

49. RUSSIAN MULTIPLICATION Example : 39 x 57 Answer 2223 1824 1 912 2 456 4 228 9 114 19 57 39 (X2) (÷2)

51. 2D ÷ 1D 3D ÷ 1D 1 1 1 7 21 - 7 14 - 7 7 - 7 0 2 90 7 644 -630 14 -14 0 DIVISION 3 92

52. Division of 2D 24 4397 - 24 199 - 192 77 - 72 5 ÷ 24 DIVISION 2 2 4 6 8 10 12 14 16 18 4 4 8 1 2 1 6 2 0 2 4 2 8 3 2 3 6 24 24 48 72 96 120 144 168 192 216 1 2 3 4 5 6 7 8 9 1 8 3 Example: 4397 ÷ 24 =

53. OBJECTIVE QUESTION DIVISION √ 24 8 × 3 12 × 2 4 × 6 Example : 502 584 ÷ 24 = A 2941 B 20941 C 20940 D 29410 Answer without remainder 125646 4 502584 -4 10 - 8 22 -20 25 -24 18 -16 24 -24 0 20941 6 125646 -12 56 -54 24 -24 6 -6 0

54. S A M D O B REMEMBER! BASIC RULES The solution must follow the basic counting/sequence. of × Divide ÷ Muptiply × Add + Subtract - 1 2 3 4 COUNTING 3 4 Is a family Is another family Solution: Must follow the rules. MIXED OPERATION Bracket ( )

55. Question: How to arrange the below symbols to form the correct mathematics sentence? Answer 3 3 3 3 + - x = 10 3 3 3 3 + _ x

56. Fun & Easy Conversion Table

57. FUN CONVERT Question : Convert 8.03km to m / 8.03km = ________m ● m g m ℓ Km Kg ℓ

58. FUN CONVERT Question : Convert 8.03km to m / 8.03km = ________m ● 3 0 8 m g m ℓ Km Kg ℓ

63. KUANTAN - JERANTUT CE 2007

64. PPK KPM Any question ? No

65. PPK KPM THE END

66. SEE YOU NEXT TIME Insyaallah , Thank You Terima Kasih Syukran