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Counting STARS: 1 to 13 Scored

Counting STARS: 1 to 13 Scored
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2017-12-30 23:17
FunctionTrigonometryProbability & StatisticsGeometric Construction
In collections Math Scored Practice
This example demonstrates how to generate star shapes randomly and count them from 1 to 13, involving core math concepts like probability & statistics, random experiments, and geometric construction. Key GeoGebra commands/objects used include Random, Polygon, Intersect, and Text, suitable for high school students learning probability & statistics and geometric construction, or for math clubs.

GeoGebra Commands & Parameters

  1. Random(1, 13) → r
  2. Polygon(A, B, C, D, E) → star, a, b, c, d, e
  3. Intersect(d, a) → F
  4. Intersect(a, c) → G
  5. Intersect(c, e) → H
  6. Intersect(b, e) → I
  7. Intersect(b, d) → J
  8. Polygon(A_1, B_1, C_1, D_1, E_1) → star_1, a_1, b_1, c_1, d_1, e_1
  9. Intersect(d_1, a_1) → F_1
  10. Intersect(a_1, c_1) → G_1
  11. Intersect(c_1, e_1) → H_1
  12. Intersect(b_1, e_1) → I_1
  13. Intersect(b_1, d_1) → J_1
  14. Polygon(A_2, B_2, C_2, D_2, E_2) → star_2, a_2, b_2, c_2, d_2, e_2
  15. Intersect(d_2, a_2) → F_2
  16. Intersect(a_2, c_2) → G_2
  17. Intersect(c_2, e_2) → H_2
  18. Intersect(b_2, e_2) → I_2
  19. Intersect(b_2, d_2) → J_2
  20. Polygon(A_3, B_3, C_3, D_3, E_3) → star_3, a_3, b_3, c_3, d_3, e_3
  21. Intersect(d_3, a_3) → F_3
  22. Intersect(a_3, c_3) → G_3
  23. Intersect(c_3, e_3) → H_3
  24. Intersect(b_3, e_3) → I_3
  25. Intersect(b_3, d_3) → J_3
  26. Polygon(A_4, B_4, C_4, D_4, E_4) → star_4, a_4, b_4, c_4, d_4, e_4
  27. Intersect(d_4, a_4) → F_4
  28. Intersect(a_4, c_4) → G_4
  29. Intersect(c_4, e_4) → H_4
  30. Intersect(b_4, e_4) → I_4
  31. Intersect(b_4, d_4) → J_4
  32. Polygon(A_5, B_5, C_5, D_5, E_5) → star_5, a_5, b_5, c_5, d_5, e_5
  33. Intersect(d_5, a_5) → F_5
  34. Intersect(a_5, c_5) → G_5
  35. Intersect(c_5, e_5) → H_5
  36. Intersect(b_5, e_5) → I_5
  37. Intersect(b_5, d_5) → J_5
  38. Polygon(A_6, B_6, C_6, D_6, E_6) → star_6, a_6, b_6, c_6, d_6, e_6
  39. Intersect(d_6, a_6) → F_6
  40. Intersect(a_6, c_6) → G_6
  41. Intersect(c_6, e_6) → H_6
  42. Intersect(b_6, e_6) → I_6
  43. Intersect(b_6, d_6) → J_6
  44. Polygon(A_7, B_7, C_7, D_7, E_7) → star_7, a_7, b_7, c_7, d_7, e_7
  45. Intersect(d_7, a_7) → F_7
  46. Intersect(a_7, c_7) → G_7
  47. Intersect(c_7, e_7) → H_7
  48. Intersect(b_7, e_7) → I_7
  49. Intersect(b_7, d_7) → J_7
  50. Polygon(A_8, B_8, C_8, D_8, E_8) → star_8, a_8, b_8, c_8, d_8, e_8
  51. Intersect(d_8, a_8) → F_8
  52. Intersect(a_8, c_8) → G_8
  53. Intersect(c_8, e_8) → H_8
  54. Intersect(b_8, e_8) → I_8
  55. Intersect(b_8, d_8) → J_8
  56. Polygon(A_9, B_9, C_9, D_9, E_9) → star_9, a_9, b_9, c_9, d_9, e_9
  57. Intersect(d_9, a_9) → F_9
  58. Intersect(a_9, c_9) → G_9
  59. Intersect(c_9, e_9) → H_9
  60. Intersect(b_9, e_9) → I_9
  61. Intersect(b_9, d_9) → J_9
  62. Polygon(A_{10}, B_{10}, C_{10}, D_{10}, E_{10}) → star_{10}, a_{10}, b_{10}, c_{10}, d_{10}, e_{10}
  63. Intersect(d_{10}, a_{10}) → F_{10}
  64. Intersect(a_{10}, c_{10}) → G_{10}
  65. Intersect(c_{10}, e_{10}) → H_{10}
  66. Intersect(b_{10}, e_{10}) → I_{10}
  67. Intersect(b_{10}, d_{10}) → J_{10}
  68. Polygon(A_{11}, B_{11}, C_{11}, D_{11}, E_{11}) → star_{11}, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}
  69. Intersect(d_{11}, a_{11}) → F_{11}
  70. Intersect(a_{11}, c_{11}) → G_{11}
  71. Intersect(c_{11}, e_{11}) → H_{11}
  72. Intersect(b_{11}, e_{11}) → I_{11}
  73. Intersect(b_{11}, d_{11}) → J_{11}
  74. Polygon(A_{12}, B_{12}, C_{12}, D_{12}, E_{12}) → star_{12}, a_{12}, b_{12}, c_{12}, d_{12}, e_{12}
  75. Intersect(d_{12}, a_{12}) → F_{12}
  76. Intersect(a_{12}, c_{12}) → G_{12}
  77. Intersect(c_{12}, e_{12}) → H_{12}
  78. Intersect(b_{12}, e_{12}) → I_{12}
  79. Intersect(b_{12}, d_{12}) → J_{12}
  80. Text(score) → text1
  81. Text(try) → text4
  82. Text(prev) → text6

AI Drawing Prompt Reference

Draw 13 pentagrams, each with 5 vertices, randomly generating the position and size of each pentagram. Start by generating a random number between 1 and 13, then draw one pentagram based on this number. Repeat this process 13 times, ensuring that the pentagrams do not overlap each time.
The prompt above was compiled from the original drawing commands and is for reference only.