1. Descartes’ Shootout! Descartes’ Shootout! START

2. MISSION Instructions: You are in control of a mobile represented by a green box. Next

3. The objective is to calculate the distance between your mobile and the enemy’s mobile, which is represented by a red box. MISSION Instructions: You are in control of a mobile represented by a green box.

4. To help you, your mobile and the enemy’s one will be on a grid. Next MISSION

5. Your aim is to figure out this distance Next To help you, your mobile and the enemy’s one will be on a grid. MISSION

6. Next Once you’ve figured out the correct distance, click on the correct answer to proceed. MISSION

7. Next Warning: You only have 10 shots to take out 8 enemy mobiles! You can only afford to miss twice! Be sure to calculate correctly! MISSION

8. The enemy is approaching! Be on guard! ENGAGE!!!

9. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 units 12 units 15 units 18 units Hits: 0 Misses: 0 Shots remaining: 10

10. MISS!!!! Please try again… Try again

11. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 1 Misses: 0 Shots remaining: 9

12. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 units 12 units 15 units 18 units Hits: 1 Misses: 0 Shots remaining: 9

13. MISS!!!! Please try again… Try again

14. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 2 Misses: 0 Shots remaining: 8

15. Well done! More difficult targets ahead! Be careful! ENGAGE!!!

16. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 HELP! 9 units 12 units 15 units 18 units Hits: 2 Misses: 0 Shots remaining: 8

17. MISS!!!! Click HELP for a hint! Try again

18. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Try express the length of this line In terms of the lengths of these 2 lines Try again Hits: 2 Misses: 0 Shots remaining: 8

19. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 3 Misses: 0 Shots remaining: 7

20. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 units 16 units 20 units 25 units Hits: 3 Misses: 0 Shots remaining: 7

21. MISS!!!! Please try again… Try again

22. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 4 Misses: 0 Shots remaining: 6

23. ENGAGE!!! Well done! More difficult targets ahead! Be careful!

24. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10.0 units 16.0 units 18.9 units 20.7 units Hits: 4 Misses: 0 Shots remaining: 6

25. MISS!!!! Please try again… Try again

26. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 5 Misses: 0 Shots remaining: 5

27. 5 10 15 20 5 10 15 20 25 30 35 40 10.0 units 25.0 units 31.4 units 26.9 units HELP! Hits: 5 Misses: 0 Shots remaining: 5

28. MISS!!!! Click HELP for a hint! Try again

29. 5 10 15 20 5 10 15 20 25 30 35 40 Observe the scale of this graph! Is it the same as the ones before? Try again Hits: 5 Misses: 0 Shots remaining: 5

30. 5 10 15 20 5 10 15 20 25 30 35 40 DIRECT HIT! WELL DONE! Try another! Hits: 6 Misses: 0 Shots remaining: 4

31. 8 16 24 32 40 9 18 27 36 45 54 63 72 56.4 units 66.0 units 34.0 units 74.2 units Hits: 6 Misses: 0 Shots remaining: 4

32. MISS!!!! Please try again… Try again

33. 8 16 24 32 40 9 18 27 36 45 54 63 72 DIRECT HIT! WELL DONE! Try another! Hits: 7 Misses: 0 Shots remaining: 3

34. 64.0 units 35.0 units 78.4 units 72.9 units Scale: horizontal-axis: 4 units/square vertical-axis: 5 units/square Hits: 7 Misses: 0 Shots remaining: 3 LAST ONE!

35. MISS!!!! Please try again… Try again

36. DIRECT HIT! WELL DONE! DONE! Hits: 8 Misses: 0 Shots remaining: 2 LAST ONE!

37. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 units 12 units 15 units 18 units Hits: 0 Misses: 1 Shots remaining: 9

38. MISS!!!! Please try again… Try again

39. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 1 Misses: 1 Shots remaining: 8

40. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 units 12 units 15 units 18 units Hits: 1 Misses: 1 Shots remaining: 8

41. MISS!!!! Please try again… Try again

42. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 2 Misses: 1 Shots remaining: 7

43. ENGAGE!!! Well done! More difficult targets ahead! Be careful!

44. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 HELP! 9 units 12 units 15 units 18 units Hits: 2 Misses: 1 Shots remaining: 7

45. MISS!!!! Click HELP for a hint! Try again

46. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Try express the length of this line In terms of the lengths of these 2 lines Try again Hits: 2 Misses: 1 Shots remaining: 7

47. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 3 Misses: 1 Shots remaining: 6

48. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 units 16 units 20 units 25 units Hits: 3 Misses: 1 Shots remaining: 6

49. MISS!!!! Please try again… Try again

50. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 4 Misses: 1 Shots remaining: 5

51. ENGAGE!!! Well done! More difficult targets ahead! Be careful!

52. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10.0 units 16.0 units 18.9 units 20.7 units Hits: 4 Misses: 1 Shots remaining: 5

53. MISS!!!! Please try again… Try again

54. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 5 Misses: 1 Shots remaining: 4

55. 5 10 15 20 5 10 15 20 25 30 35 40 10.0 units 25.0 units 31.4 units 26.9 units HELP! Hits: 5 Misses: 1 Shots remaining: 4

56. MISS!!!! Click HELP for a hint! Try again

57. 5 10 15 20 5 10 15 20 25 30 35 40 Observe the scale of this graph! Is it the same as the ones before? Try again Hits: 5 Misses: 1 Shots remaining: 4

58. 5 10 15 20 5 10 15 20 25 30 35 40 DIRECT HIT! WELL DONE! Try another! Hits: 6 Misses: 1 Shots remaining: 3

59. 8 16 24 32 40 9 18 27 36 45 54 63 72 56.4 units 66.0 units 34.0 units 74.2 units Hits: 6 Misses: 1 Shots remaining: 3

60. MISS!!!! Please try again… Try again

61. 8 16 24 32 40 9 18 27 36 45 54 63 72 DIRECT HIT! WELL DONE! Try another! Hits: 7 Misses: 1 Shots remaining: 2

62. 64.0 units 35.0 units 78.4 units 72.9 units Scale: horizontal-axis: 4 units/square vertical-axis: 5 units/square Hits: 7 Misses: 1 Shots remaining: 2 LAST ONE!

63. MISS!!!! Please try again… Try again

64. DIRECT HIT! WELL DONE! DONE! Hits: 8 Misses: 1 Shots remaining: 1 LAST ONE!

65. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 units 12 units 15 units 18 units Hits: 0 Misses: 2 Shots remaining: 8

66. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 1 Misses: 2 Shots remaining: 7

67. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 units 12 units 15 units 18 units Hits: 1 Misses: 2 Shots remaining: 7

68. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 2 Misses: 2 Shots remaining: 6

69. ENGAGE!!! Well done! More difficult targets ahead! Be careful!

70. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 HELP! 9 units 12 units 15 units 18 units Hits: 2 Misses: 2 Shots remaining: 6

71. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Try express the length of this line In terms of the lengths of these 2 lines Try again Hits: 2 Misses: 2 Shots remaining: 6

72. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 3 Misses: 2 Shots remaining: 5

73. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 units 16 units 20 units 25 units Hits: 3 Misses: 2 Shots remaining: 5

74. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 4 Misses: 2 Shots remaining: 4

75. ENGAGE!!! Well done! More difficult targets ahead! Be careful!

76. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10.0 units 16.0 units 18.9 units 20.7 units Hits: 4 Misses: 2 Shots remaining: 4

77. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 DIRECT HIT! WELL DONE! Try another! Hits: 5 Misses: 2 Shots remaining: 3

78. 5 10 15 20 5 10 15 20 25 30 35 40 10.0 units 25.0 units 31.4 units 26.9 units HELP! Hits: 5 Misses: 2 Shots remaining: 3

79. 5 10 15 20 5 10 15 20 25 30 35 40 Observe the scale of this graph! Is it the same as the ones before? Try again Hits: 5 Misses: 2 Shots remaining: 3

80. 5 10 15 20 5 10 15 20 25 30 35 40 DIRECT HIT! WELL DONE! Try another! Hits: 6 Misses: 2 Shots remaining: 2

81. 8 16 24 32 40 9 18 27 36 45 54 63 72 56.4 units 66.0 units 34.0 units 74.2 units Hits: 6 Misses: 2 Shots remaining: 2

82. 8 16 24 32 40 9 18 27 36 45 54 63 72 DIRECT HIT! WELL DONE! Try another! Hits: 7 Misses: 2 Shots remaining: 1

83. 64.0 units 35.0 units 78.4 units 72.9 units Scale: horizontal-axis: 4 units/square vertical-axis: 5 units/square Hits: 7 Misses: 2 Shots remaining: 1 LAST ONE!

84. DIRECT HIT! WELL DONE! DONE! Hits: 8 Misses: 2 Shots remaining: 0 LAST ONE!

85. MISS!!!

86. GAME OVER You do not have enough shots left to complete the game Try again

87. PERFECT SCORE!!! You did not miss a shot! Well done! Congratulations! You have come to the end of Descartes’ Shootout. You have also figured out a way to find the distance between two points on a gird. Credits

88. GOOD WORK! You missed one shot, try do better next time! Congratulations! You have come to the end of Descartes’ Shootout. You have also figured out a way to find the distance between two points on a gird. Credits

89. PHEW!!! You barely made it! Try do better next time! Congratulations! You have come to the end of Descartes’ Shootout. You have also figured out a way to find the distance between two points on a gird. Credits

90. Done by: Khoo Teng Cheong Marcus Rosshameem bte Haniff End