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Circle Sort of Multiples of 9

Circle Sort of Multiples of 9
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2020-03-18 12:43
CircleSequenceProbability & Statistics
In collections Multiply with Dice
This example demonstrates the classification and sorting of multiples of 9 within circles. It involves core math concepts like arithmetic, circles, ratios, incircle, division, stochastic processes, and centroid. The construction uses GeoGebra commands: Shuffle, Element, Circle, Polygon, Sequence. Suitable for middle school and above, focusing on number sequences, geometric classification, and random processes.

GeoGebra Commands & Parameters

  1. Shuffle(listp) → listq, {(8, 14), (2, 14), (5, 14), (9, 11), (11, 14), (12, 11), (14, 14), (15, 11), (6, 11), (3, 11)}
  2. Element(listq, 1) → P1
  3. Element(listq, 2) → P2
  4. Element(listq, 3) → P3
  5. Element(listq, 4) → P4
  6. Element(listq, 5) → P5
  7. Element(listq, 6) → P6
  8. Element(listq, 7) → P7
  9. Element(listq, 8) → P8
  10. Element(listq, 9) → P9
  11. Element(listq, 10) → P10
  12. Circle(P1, rR) → aa
  13. Circle(P2, rR) → bb
  14. Circle(P3, rR) → cc
  15. Circle(P4, rR) → dd
  16. Circle(P5, rR) → ee
  17. Circle(P6, rR) → ff
  18. Circle(P7, rR) → gg
  19. Circle(P8, rR) → hh
  20. Circle(P9, rR) → ii
  21. Circle(P10, rR) → jj
  22. Shuffle(listquestion) → listqn, {8, 6, 9, 10, 2, 4, 3, 5, 1, 7}
  23. Element(listqn, elm) → qQ
  24. Polygon((2, 9), (2, 11.5), (a / 9 + 2, 11.5), (a / 9 + 2, 9)) → q1, f, g, h, i
  25. Sequence(Segment[(m, 9), (m, 11.5)], m, 2, 12) → l2
  26. Polygon((2, 12), (2, 14), (2 + a / 9, 14), (2 + a / 9, 12)) → q2, j, k, l, m
  27. Sequence(Segment[(2, 9 + n), (12, 9 + n)], n, 0, 2.5, 0.5) → l1
  28. Sequence(Segment[(m, 12), (m, 14.5)], m, 2, 12) → l3
  29. Sequence(Segment[(2, 11.5 + n), (12, 11.5 + n)], n, 0, 3, 0.5) → l4