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Circle Sort of Multiples of 8

Circle Sort of Multiples of 8
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2020-03-18 13:09
CirclePolygonSequenceCoordinate Geometry
This example demonstrates how to sort multiples of 8 using circles. It involves core math concepts like arithmetic, circles, symmetry, arithmetic mean, and linear regression. Construction highlights include GeoGebra commands Shuffle, Element, Circle, Polygon, and Sequence. Suitable for middle school and above, teaching number theory, geometry, and data analysis.

GeoGebra Commands & Parameters

  1. Shuffle(listp) → listq, {(5, 14), (2, 14), (15, 11), (9, 11), (8, 14), (12, 11), (14, 14), (3, 11), (11, 14), (6, 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, {1, 10, 8, 9, 4, 5, 2, 6, 7, 3}
  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

AI Drawing Prompt Reference

Draw a pattern consisting of ten circles with the same radius, centered at the coordinates (5,14), (2,14), (15,11), (9,11), (8,14), (12,11), (14,14), (3,11), (11,14), and (6,11). Below the circles, create a sequence of three horizontal line segments of equal length at y=9, y=11.5, and y=12. On the left side, draw two sequences of vertical line segments at x=2 and x=2+a/9. Complete the design by adding two quadrilaterals formed by four points at the bottom and left sides of the circles.
The prompt above was compiled from the original drawing commands and is for reference only.