DAMATH BOARDpresentation and how to play.pptx

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1. DAMATH SCIDAMA SEPTEMBER 18-19, 2009 BINALONAN NORTH CENTRAL SCHOOL Binalonan, Pangasinan DIVISION TRAINING PROGRAM

2. DAMATH 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

3. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

4. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

5. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

6. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

7. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

8. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1

9. DAMATH MANUAL Basically the rules in playing the Filipino checkerboard game called “dama” will be used with some modifications in integrating Mathematics and Science as follows: 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

10. INTEGER DAMATH RATIONAL DAMATH RADICAL DAMATH POLYNOMIAL DAMATH

11. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Set the starting positions of the chips. Integer DAMATH -11 -3 -1 -1 -11 -3 4 8 4 8 -7 -9 2 -5 6 10 10 6 -5 -9 -7 2 BACK NEXT

12. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Set the starting positions of the chips. Rational DAMATH -11/10 -3/10 -1/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 -9/10 2/10 -5/10 6/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10 BACK NEXT

13. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Set the starting positions of the chips. Radical DAMATH -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18 -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18 BACK NEXT

14. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Set the starting positions of the chips. Polynomial DAMATH -55x -15x -21xy 2 10y -45y -3x 2 y - xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y -xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x BACK NEXT

15. After the starting positions of the chips have been set, the first player is determined by drawing lots. The first player will occupy the side of the DAMATH board where (0, 0) is located.

16. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A chip is allowed to move diagonally forward only to an adjoining vacant square. BLUE  (0, 3) RED  (3, 4) RED  (7, 4) BLUE  (4, 3)

17. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A chip has to take the opponent’s chip diagonally forward or backward, thus, pass is not allowed. Mathematical operations (+, -, x, ÷ ) will be used depending on the vacant square’s operation symbol where the Taker chip lands by jumping over the Taken chip (the latter chip has to be removed from the board after performing the indicated mathematical operation and recording the same in the scoresheet). BLUE  (2, 3) RED  (3, 4)

18. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE x RED A chip has to take the opponent’s chip diagonally forward or backward, thus, pass is not allowed. Mathematical operations (+, -, x, ÷) will be used depending on the vacant square’s operation symbol where the Taker chip lands by jumping over the Taken chip (the latter chip has to be removed from the board after performing the indicated mathematical operation and recording the same in the scoresheet).

19. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 RED - BLUE

20. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 RED ÷ BLUE

21. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 RED ÷ BLUE BLUE  (6, 3)

22. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 RED - BLUE

23. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE  (6, 3)

24. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 RED ÷ BLUE

25. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 In taking a chip or more than one chip, the Taker chip is always the addend, minuend, multiplicand, or dividend as the case may be. BLUE - RED

26. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 In taking a chip or more than one chip, the Taker chip is always the addend, minuend, multiplicand, or dividend as the case may be. BLUE + RED

27. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 In taking a chip or more than one chip, the Taker chip is always the addend, minuend, multiplicand, or dividend as the case may be. BLUE + RED BLUE - RED

28. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 In taking a chip or more than one chip, the Taker chip is always the addend, minuend, multiplicand, or dividend as the case may be. BLUE + RED BLUE - RED BLUE ÷ RED

29. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 In taking a chip or more than one chip, the Dama Rules on “dama”, mayor dalawa or tatlo, mayor tatlo over dalawa, mayor dama, and mayor dalawa or tatlo over dama prevail. BLUE + RED Mayor DALAWA

30. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 In taking a chip or more than one chip, the Dama Rule on “dama”, mayor dalawa or tatlo, mayor tatlo over dalawa, mayor dama, and mayor dalawa or tatlo over dama prevail. BLUE x RED BLUE + RED Mayor DALAWA

31. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor TATLO BLUE + RED

32. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE x RED Mayor TATLO BLUE + RED

33. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE + RED BLUE x RED Mayor TATLO BLUE + RED

34. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor TATLO Over DALAWA BLUE + RED

35. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE x RED Mayor TATLO Over DALAWA BLUE + RED

36. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE x RED Mayor TATLO Over DALAWA BLUE + RED BLUE + RED

37. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor DAMA BLUE DAMA - RED

38. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Dama BLUE DAMA - RED

39. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA ÷ RED Mayor Dama BLUE DAMA - RED

40. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Dalawa Over DAMA BLUE x RED

41. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE + RED Mayor Dalawa Over DAMA BLUE x RED

42. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Tatlo Over DAMA BLUE + RED

43. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE x RED Mayor Tatlo Over DAMA BLUE + RED

44. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE + RED Mayor Tatlo Over DAMA BLUE + RED BLUE x RED

45. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Tatlo Over DAMA taking Dalawa BLUE + RED

46. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Tatlo Over DAMA taking Dalawa BLUE + RED BLUE x RED

47. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Tatlo Over DAMA taking Dalawa BLUE + RED BLUE x RED BLUE + RED

48. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 When two dama chips will take same number of chips, it’s up for the player to decide which to move. BLUE DAMA - RED

49. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA ÷ RED When two dama chips will take same number of chips, it’s up for the player to decide which to move. BLUE DAMA - RED

50. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA x RED When two dama chips will take same number of chips, it’s up for the player to decide which to move.

51. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA + RED BLUE DAMA x RED When two dama chips will take same number of chips, it’s up for the player to decide which to move.

52. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Tatlo Over Dalawa BLUE DAMA + RED

53. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Tatlo Over Dalawa BLUE DAMA + RED BLUE DAMA x RED

54. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Mayor Tatlo Over Dalawa BLUE DAMA + RED BLUE DAMA x RED BLUE DAMA + RED

55. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

56. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A chip is declared as “dama” upon reaching terminally on the following designated squares. For BLUE chips: (0, 7), (2, 7), (4, 7), (6, 7)

57. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A chip is declared as “dama” upon reaching terminally on the following designated squares. For RED chips: (1, 0), (3, 0), (5, 0), (7, 0)

58. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A chip is declared as “dama” upon reaching terminally on the following designated squares. For BLUE chips: (0, 7), (2, 7), (4, 7), (6, 7) For RED chips: (1, 0), (3, 0), (5, 0), (7, 0) BLUE ÷ RED RED + BLUE

59. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A chip is declared as “dama” upon reaching terminally on the following designated squares. For BLUE chips: (0, 7), (2, 7), (4, 7), (6, 7) For RED chips: (1, 0), (3, 0), (5, 0), (7, 0) BLUE ÷ RED RED + BLUE RED - BLUE

60. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Situations where a chip is not declared as “dama” BLUE - RED

61. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Situations where a chip is not declared as “dama” BLUE - RED BLUE + RED RED x BLUE

62. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Situations where a chip is not declared as “dama” BLUE - RED BLUE + RED RED x BLUE RED ÷ BLUE

63. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 RED - BLUE Situations where a chip is not declared as “dama” BLUE - RED BLUE + RED RED x BLUE RED ÷ BLUE

64. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7

65. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A dama chip is allowed to move to any unoccupied square along its diagonal path. However, it can only pass through its diagonal path once and could no longer return to its original position when taking chips.

66. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 It can take a chip or more than one chip . BLUE DAMA x RED A dama chip is allowed to move to any unoccupied square along its diagonal path. However, it can only pass through its diagonal path once and could no longer return to its original position when taking chips.

67. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA x RED BLUE DAMA x RED It can take a chip or more than one chip . A dama chip is allowed to move to any unoccupied square along its diagonal path. However, it can only pass through its diagonal path once and could no longer return to its original position when taking chips.

68. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA x RED BLUE DAMA x RED BLUE DAMA ÷ RED or BLUE DAMA + RED It can take a chip or more than one chip . A dama chip is allowed to move to any unoccupied square along its diagonal path. However, it can only pass through its diagonal path once and could no longer return to its original position when taking chips.

69. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA x RED It can take a chip or more than one chip . A dama chip is allowed to move to any unoccupied square along its diagonal path. However, it can only pass through its diagonal path once and could no longer return to its original position when taking chips.

70. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA ÷ RED It can take a chip or more than one chip . A dama chip is allowed to move to any unoccupied square along its diagonal path. However, it can only pass through its diagonal path once and could no longer return to its original position when taking chips.

71. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 BLUE DAMA X RED It can take a chip or more than one chip . A dama chip is allowed to move to any unoccupied square along its diagonal path. However, it can only pass through its diagonal path once and could no longer return to its original position when taking chips.

72. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Moreover, a dama’s score is doubled in taking a chip or chips. 2(BLUE DAMA x RED)

73. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Moreover, a dama’s score is doubled in taking a chip or chips. 2(BLUE DAMA x RED) 2(BLUE DAMA x RED) or 2(BLUE DAMA - RED)

74. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Dama’s score is quadrupled if it takes the opponent’s dama chip. 4(BLUE DAMA x RED DAMA)

75. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Similarly, an ordinary chip’s score is doubled if it takes a dama chip. 2(RED + BLUE DAMA)

76. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Similarly, an ordinary chip’s score is doubled if it takes a dama chip. 2(RED + BLUE DAMA) RED x BLUE

77. WRITING ENTRIES IN THE SCORESHEET Player A Player B Move Score Total Move Score Total 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Note: Scores shall be entered in the scoresheet according to the game being played.

78. INTEGER DAMATH RATIONAL DAMATH RADICAL DAMATH POLYNOMIAL DAMATH

79. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -9 -11 -3 -1 -1 -11 -3 4 8 4 8 Integer DAMATH -7 2 -5 6 10 10 6 -5 -9 -7 2

80. Integer DAMATH Scoresheet Player BLUE Name :__Ramon ________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__ Lapus ________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3)

81. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Integer DAMATH -1 -9 -11 -3 -1 -11 -3 4 8 4 8 -7 2 -5 6 10 10 6 -5 -9 -7 2

82. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) Integer DAMATH Scoresheet

83. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -1 -9 Integer DAMATH -11 -3 -1 -11 -3 4 8 4 8 -7 2 -5 6 10 10 6 -5 -9 -7 2

84. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 Integer DAMATH Scoresheet

85. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -9 10 -11 -3 -1 -11 -3 4 8 4 8 -7 2 -5 6 10 6 -5 -9 -7 2 Integer DAMATH

86. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 Integer DAMATH Scoresheet

87. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -9 -1 -11 -3 -11 -3 4 8 4 8 -7 2 -5 10 6 -5 -7 2 Integer DAMATH

88. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 Integer DAMATH Scoresheet

89. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -11 -3 -11 -3 4 8 4 8 2 10 -5 2 Integer DAMATH -7

90. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 Integer DAMATH Scoresheet

91. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -5 -11 -3 -11 -3 4 8 4 8 2 10 -5 Integer DAMATH

92. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 -11 – (-5) -6 -8 Integer DAMATH Scoresheet

93. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -3 11 4 8 4 8 2 10 -5 Integer DAMATH -3

94. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 -11 – (-5) -6 -8 -3 x 4 -12 -15 Integer DAMATH Scoresheet

95. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 6 10 -3 -11 8 4 8 2 -5 Integer DAMATH

96. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 10 -3 -11 8 4 8 2 -5 Integer DAMATH

97. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 -11 – (-5) -6 -8 -3 x 4 -12 -15 10 x 6 60 52 10 + 0 10 62 Integer DAMATH Scoresheet

98. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 -11 -11 4 Integer DAMATH 2 6 10 -5 -5

99. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 -11 – (-5) -6 -8 -3 x 4 -12 -15 10 x 6 60 52 -5 x 10 -50 x 2 = -100 -115 10 + 0 10 62 Integer DAMATH Scoresheet Note: When a DAMA takes an ordinary chip, the score is doubled.

100. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 4 6 -11 -11 Integer DAMATH 2 -5

101. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 -11 – (-5) -6 -8 -3 x 4 -12 -15 10 x 6 60 52 -5 x 10 -50 x 2 = -100 -115 10 + 0 10 62 6 + 4 10 x 4 = 40 102 Integer DAMATH Scoresheet Note: When a DAMA takes another DAMA, the score is quadrupled.

102. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 6 10 -11 -11 Integer DAMATH 2 -5

103. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 -11 – (-5) -6 -8 -3 x 4 -12 -15 10 x 6 60 52 -5 x 10 -50 x 2 = -100 -115 10 + 0 10 62 10 + 6 16 x 2 = 32 -83 6 + 4 10 x 4 = 40 102 Integer DAMATH Scoresheet Note: When an ordinary chip takes a DAMA, the score is doubled.

104. Player BLUE Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Player RED Name:__________________________________ School:_________________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9  (0, 3) -1  (1, 4) -9 + (-1) -10 -10 10 + (-9) 1 1 -1 – (-9) 8 -2 -7 ÷ 2 -3.5 ≈ -4 -3 -11 – (-5) -6 -8 -3 x 4 -12 -15 10 x 6 60 52 -5 x 10 -50 x 2 = -100 -115 10 + 0 10 62 10 + 6 16 x 2 = 32 -83 6 + 4 10 x 4 = 40 102 RC: -5 -5 RC: -11 -11 2 2 -11x 2 -22 10 x 2 20 Total -27 Total 11 Grand Total 75 Grand Total -72 Integer DAMATH Scoresheet Note: Add all remaining chips to the total score to get the grand total. Remaining DAMA chip’s corresponding value is doubled. The player with greater score wins . HOME

105. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -3/10 -1/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 -9/10 2/10 -5/10 6/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10

106. Rational DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3)

107. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -3/10 -1/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 -9/10 2/10 -5/10 6/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10

108. Rational DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4)

109. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -3/10 -1/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 -9/10 2/10 -5/10 6/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10

110. Rational DAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1

111. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -3/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 -9/10 2/10 -5/10 6/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10

112. Rational DAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1 -7/10 – ( -9/10) 2/10 1/5

113. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -3/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 2/10 -5/10 6/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10

114. RationalDAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1 -7/10 – ( -9/10) 2/10 1/5 6/10  (2, 3) -1

115. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -3/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 2/10 -5/10 6/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10

116. Rational DAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1 -7/10 – ( -9/10) 2/10 1/5 6/10  (2, 3) -1 -7/10 ÷ 6/10 -7/6 -29/30

117. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -3/10 -1/10 -11/10 -3/10 4/10 8/10 4/10 8/10 -7/10 2/10 -5/10 10/10 10/10 6/10 -5/10 -9/10 -7/10 2/10

118. RationalDAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1 -7/10 – ( -9/10) 2/10 1/5 6/10  (2, 3) -1 -7/10 ÷ 6/10 -7/6 -29/30 -3/10 X -7/10 21/10 11/10

119. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 4/10 8/10 -9/10 -7/10 2/10 4/10 -11/10

120. Rational DAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1 -7/10 – ( -9/10) 2/10 1/5 6/10  (2, 3) -1 -7/10 ÷ 6/10 -7/6 -29/30 -3/10 X -7/10 21/10 11/10 4/10 + 8/10 24/10 43/10 Note: When a DAMA chip take an ordinary chip, the score is doubled .

121. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Rational DAMATH -11/10 -9/10 -7/10 2/10 4/10 -11/10

122. Rational DAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1 -7/10 – ( -9/10) 2/10 1/5 6/10  (2, 3) -1 -7/10 ÷ 6/10 -7/6 -29/30 -3/10 X -7/10 21/10 11/10 4/10 + 8/10 24/10 43/10 -11/10 X 4/40 -44/25 -33/50 Note: When a DAMA chip takes a DAMA, the score is quadrupled

123. Rational DAMATH Scoresheet Player BLUE Name: Ramon, Mario M __________________ School:_ JGMNHS_______________________ Grade/Year:_____________________________ Player RED Name:__ Arroyo, Gloria __________________ School:__ ADMU _________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -9/10  (0, 3) -1/10  (1, 4) -9/10 + (-1/10) -10/10 -1 -7/10 – ( -9/10) 2/10 1/5 6/10  (2, 3) -1 -7/10 ÷ 6/10 -7/6 -29/30 -3/10 X -7/10 21/10 11/10 4/10 + 8/10 24/10 43/10 -11/10 X 4/40 -44/25 -33/50 R.C. -11/10 -11/5 R.C. -11/10 -11/10 2/10 1/5 -9/10 -9/10 -7/10 -7/10 TOTAL -27/10 -2 GRAND TOTAL -3.36 2.3 Note: Add all remaining chips to the total score to get the grand total. Remaining DAMA chip’s corresponding value is doubled. The player with greater score wins HOME

124. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18 -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18

125. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3)

126. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18 -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18

127. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4)

128. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18 -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18

129. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4) 4 √18 ÷ -9 √2 -4/3 -4/3

130. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 4 √18 -121 √18 -25 √18 -49 √8 16√32 -81 √32 - √8 36 √32 100 √2 64 √2 144 √8 4 √18

131. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4) 4 √18 ÷ -9 √2 -4/3 -4/3 -49 √8 ÷ 4 √18 -8 -8

132. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 -121 √18 -25 √18 -49 √8 16√32 -81 √32 - √8 36 √32 100 √2 64 √2 144 √8 4 √18

133. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4) 4 √18 ÷ -9 √2 -4/3 -4/3 -49 √8 ÷ 4 √18 -8 -8 16 √32  (6, 3) -4/3

134. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH -121 √18 -25 √18 -49 √8 16√32 -81 √32 -9 √2 - √8 36 √32 100 √2 64 √2 144 √8 -121 √18 -25 √18 -49 √8 16√32 -81 √32 - √8 36 √32 100 √2 64 √2 144 √8 4 √18

135. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4) 4 √18 ÷ -9 √2 -4/3 -4/3 -49 √8 ÷ 4 √18 -8 -8 16 √32  (6, 3) -4/3 -49 √8 - 16 √32 -160 √2 -8 -160 √2

136. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH - √8 36 √32 144 √8 64 √2 144 √8 -49√8 -9 √2

137. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4) 4 √18 ÷ -9 √2 -4/3 -4/3 -49 √8 ÷ 4 √18 -8 -8 16 √32  (6, 3) -4/3 -49 √8 - 16 √32 -160 √2 -8 -160 √2 -49 √8 + -√8 -196 √2 -8-356 √2 Note: When a DAMA chip take an ordinary chip, the score is doubled.

138. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Radical DAMATH 36 √32 144 √8 64 √2 144 √8 -49√8 -9 √2

139. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4) 4 √18 ÷ -9 √2 -4/3 -4/3 -49 √8 ÷ 4 √18 -8 -8 16 √32  (6, 3) -4/3 -49 √8 - 16 √32 -160 √2 -8 -160 √2 -49 √8 + -√8 -196 √2 -8-356 √2 -9 √2 x -49 √8 6912 20732/3 Note: When a DAMA take another DAMA, the score is quadrupled

140. Radical DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total 4 √18  (4, 3) -9 √2  (5, 4) 4 √18 ÷ -9 √2 -4/3 -4/3 -49 √8 ÷ 4 √18 -8 -8 16 √32  (6, 3) -4/3 -49 √8 - 16 √32 -160 √2 -8 -160 √2 -49 √8 + -√8 -196 √2 -8-356 √2 -9 √2 x -49 √8 6912 20732/3 R.C. -9 √2 -18 √2 R.C. 144 √8 144 √8 36 √32 36 √32 64 √2 64 √2 144 √8 144 √8 TOTAL 423 √2 352 √2 GRAND TOTAL 7643.32 -13.66 Note: Add all remaining chips to the total score to get the grand total. Remaining DAMA chip’s corresponding value is doubled. The player with greater score wins HOME

141. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x -15x -21xy 2 10y -45y -3x 2 y - xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y -xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x

142. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3)

143. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x -15x -21xy 2 10y -45y -3x 2 y - xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y -xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x

144. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3)

145. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x -15x -21xy 2 10y -45y -3x 2 y - xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y -xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x

146. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000

147. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x -15x -21xy 2 10y -45y -3x 2 y - xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y 28y 66x 2 y 36x 2 y 78xy 2 6x

148. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000 -15x – ( -3x 2 y) 99 99

149. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x -15x -21xy 2 10y -45y - xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y 28y 66x 2 y 36x 2 y 78xy 2 6x

150. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000 -15x – ( -3x 2 y) 63 63 -xy 2 (2,3) 24000

151. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x -15x -21xy 2 10y -45y - xy 2 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y 28y 66x 2 y 36x 2 y 78xy 2 6x

152. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000 -15x – ( -3x 2 y) 99 99 -xy 2 (2,3) 24000 -15x ÷ (-xy 2 ) 0.6 99.6

153. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x -15x -21xy 2 10y -45y 28y 66x 2 y 36x 2 y 78xy 2 6x -55x -15x -21xy 2 10y -45y -3x 2 y 28y 66x 2 y 36x 2 y 78xy 2 6x

154. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000 -15x – ( -3x 2 y) 99 99 -xy 2 (2,3) 24000 -15x ÷ (-xy 2 ) 0.6 99.6 (-15x)(-15x ) 24000

155. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH -55x 78xy 2 -55x -45y 78xy 2 66x 2 y

156. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000 -15x – ( -3x 2 y) 99 99 -xy 2 (2,3) 24000 -15x ÷ (-xy 2 ) 0.6 99.6 (-15x)(-15x ) 24000 78xy 2 ÷ (-55x) -22.69 76.91 Note: When a DAMA chip take an ordinary chip, the score is doubled.

157. 1 2 4 3 5 6 7 7 6 5 3 4 2 1 1 2 4 3 5 6 7 7 6 5 3 4 2 1 Polynomial DAMATH 78xy 2 -55x -45y 78xy 2 66x 2 y

158. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000 -15x – ( -3x 2 y) 99 99 -xy 2 (2,3) 24000 -15x ÷ (-xy 2 ) 0.6 99.6 (-15x)(-15x ) 24000 78xy 2 ÷ (-55x) -22.69 76.91 78xy 2 ÷ 78xy 2 4 24004 Note: When a DAMA take another DAMA, the score is quadrupled

159. Polynomial DAMATH Scoresheet Player BLUE Name:__ RAMON, MARIO M_____________ School:___ JGMNHS_____________________ Grade/Year:_____________________________ Player RED Name:_ ARROYO, GLORIA________________ School:__ ADMU__________________________ Grade/Year:_____________________________ Move Score Total Move Score Total -3x 2 y  (2, 3) -xy 2  (4, 3) (-3x 2 y)( -xy 2 ) 24000 24000 -15x – ( -3x 2 y) 99 99 -xy 2 (2,3) 24000 -15x ÷ (-xy 2 ) 0.6 99.6 (-15x)(-15x ) 24000 78xy 2 ÷ (-55x) -22.69 76.91 78xy 2 ÷ 78xy 2 4 24004 R.C. 78xy 2 624 -45y -135 66xy 2 -55x TOTAL 624 -135 GRAND TOTAL 24628 -58.09 Note: Add all remaining chips to the total score to get the grand total. Remaining DAMA chip’s corresponding value is doubled. The player with greater score wins

160. OTHER RULES A move [e.g. 25  (6, 3)] is good only at the most for one (1) minute including its corresponding entries in the scoresheet; while the game’s duration is twenty (20) minutes. It will be the responsibility of the arbiter to remind the player to make a move and write entries in the scoresheet. This will be done 10 seconds before the 1-minute time frame. If in case a player did not finish writing the entries in the scoresheet after 1 minute, the time will be stopped by the arbiter. This is to give the player time to finish writing in the scoresheet. The extra time is exclusive of the twenty-minute game duration. A player may consume the whole minute in taking chip/s and writing the entries in the scoresheet. A player is required to take chip/s when there is still time left (remaining second/s of the 20-minute game duration). Use of calculator is allowed.

161. The game ends when any of the following situations occur: Repetitive moves of any or both players. If no show of one player is declared after ten minutes. A player resigns or refuses to move. A player’s chip is cornered. A player has no more chip to move. The 20-minute game duration ended.

162. The remaining chips have to be added to the respective player’s total scores. “DAMA” chip’s corresponding value is doubled. The player with the greater total score is declared winner for which he/she is entitled to one (1) point in the tally sheet of contestants or one-half (0.5) point in case of a draw. In case two or more players have the same number of winnings, their previous games will be considered. Whoever won in these games prevails. If a winner cannot be determined from these games, a 10-minute rematch shall be done. Players are not allowed to resign in the rematch. Point System (Adding the Scores in each Game/Rematch) shall be followed if no player emerges as winner after the rematch.

163. Scoresheets will be reviewed by a panel of reviewers. Corrections will be done to the wrong entries which were not checked during the game. The time spent in correcting the entries is exclusive of the 20-minute game duration. Only one scoresheet is allowed to be accomplished alternately by the two players whereby incorrect entries shall be their responsibility. In case of incorrect entries in the scoresheet, a player has to immediately call the attention of the competition facilitator by raising one’s hand, that is, after stopping the time. As determined by the said facilitator, the appropriate corrections will be done by the erring player inasmuch as the former’s decision is final and unappealable.

164. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 Repetitive moves of any or both players.

165. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A player’s chip is cornered.

166. 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 1 2 4 3 5 6 7 A player has no more chip to move.