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Three Numbers Board

Three Numbers Board
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2018-01-04 15:55
SequenceProbability & StatisticsGeometric Construction
This example demonstrates a 3x3 matrix containing 36 numbers, which can be randomly shuffled to show number distribution. Core math concepts include Probability & Statistics, Sequence, and Combinatorics. GeoGebra commands used are Shuffle, Element, and Sequence, with objects A1 to A36. Suitable for high school mathematics teaching, particularly for demonstrating probability distributions and random events.

GeoGebra Commands & Parameters

  1. Shuffle(L) → list2
  2. Element(list2, 1) → a
  3. Element(list2, 2) → b
  4. Element(list2, 3) → c
  5. Element(list2, 4) → d
  6. Element(list2, 5) → e
  7. Element(list2, 6) → f
  8. Element(list2, 7) → g
  9. Element(list2, 8) → h
  10. Element(list2, 9) → i
  11. Element(list2, 10) → j
  12. Element(list2, 11) → k
  13. Element(list2, 12) → l
  14. Element(list2, 13) → m
  15. Element(list2, 14) → n
  16. Element(list2, 15) → o
  17. Element(list2, 16) → p
  18. Element(list2, 17) → q
  19. Element(list2, 18) → r
  20. Element(list2, 19) → s
  21. Element(list2, 20) → t
  22. Element(list2, 21) → u
  23. Element(list2, 22) → v
  24. Element(list2, 23) → w
  25. Element(list2, 24) → a_1
  26. Element(list2, 25) → b_1
  27. Element(list2, 25) → c_1
  28. Element(list2, 26) → c_2
  29. Element(list2, 28) → d_1
  30. Element(list2, 29) → e_1
  31. Element(list2, 30) → f_1
  32. Element(list2, 31) → g_1
  33. Element(list2, 32) → h_1
  34. Element(list2, 33) → i_1
  35. Element(list2, 34) → j_1
  36. Element(list2, 35) → k_1
  37. Element(list2, 36) → l_1
  38. Element(list2, 37) → m_1
  39. Element(list2, 38) → n_1
  40. Element(list2, 39) → o_1
  41. Element(list2, 40) → p_1
  42. Element(list2, 41) → q_1
  43. Element(list2, 42) → r_1
  44. Element(list2, 43) → s_1
  45. Element(list2, 44) → t_1
  46. Element(list2, 45) → u_1
  47. Element(list2, 46) → v_1
  48. Element(list2, 47) → v_2
  49. Element(list2, 48) → v_3
  50. Element(list2, 49) → v_4
  51. Sequence(Segment[(n, 0), (n, 7)], n, 0, 7) → L1
  52. Sequence(Segment[(0, m), (7, m)], m, 0, 7) → L2