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Multiples of 6 Circle Classification

Multiples of 6 Circle Classification
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2020-03-17 13:14
CircleSequenceGeometric Construction
This example demonstrates multiples of 6 and classifies them using circles. Key math concepts include sequences and circles. GeoGebra commands used include Shuffle, Element, Circle, Polygon, and Sequence. Suitable for high-grade elementary or junior high school students learning about sequences and circles.

GeoGebra Commands & Parameters

  1. Shuffle(listp) → listq, {(6, 11), (15, 11), (11, 14), (12, 11), (3, 11), (2, 14), (8, 14), (14, 14), (5, 14), (9, 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, 2, 4, 5, 3, 10, 7, 1}
  23. Element(listqn, elm) → qQ
  24. Polygon((2, 9), (2, 11.5), (a / 6 + 2, 11.5), (a / 6 + 2, 9)) → q1, f, g, h, i
  25. Sequence(Segment[(2, 9 + n), (12, 9 + n)], n, 0, 2.5, 0.5) → l1
  26. Sequence(Segment[(m, 9), (m, 11.5)], m, 2, 12) → l2
  27. Sequence(Segment[(m, 12), (m, 12.5)], m, 2, 12) → l3
  28. Sequence(Segment[(2, 11.5 + n), (12, 11.5 + n)], n, 0, 1, 0.5) → l4
  29. Polygon((2, 12), (2, 12.5), (2 + a / 6, 12.5), (2 + a / 6, 12)) → q2, j, k, l, m

AI Drawing Prompt Reference

On a coordinate plane, scatter ten points randomly, each serving as the center of an equal-sized circle with the same radius. Below, draw a rectangular grid area divided by horizontal and vertical lines into small cells, with some cells filled as polygon blocks to represent numerical categories. Above the grid, place a smaller rectangular region also divided and partially filled. The overall figure shows the correspondence between circles and grid classifications, visualizing multiples of 6 geometrically.
The prompt above was compiled from the original drawing commands and is for reference only.