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Percentage Grid Shaded Explorer

Percentage Grid Shaded Explorer
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2014-04-06 10:14
Probability & StatisticsTransformationSlider Animation
This example demonstrates the concept of percentage by changing the value in the input box and observing the shaded part of the grid. It involves geometric transformations and slider animation. Commands used include Point, Polygon, Intersect, Segment, Dilate, Line, Sequence, Translate, If, Textfield, Random, etc. Suitable for middle school and above students to learn about geometric transformations and probability statistics.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 5]) → B
  2. Polygon(A, B, 4) → poly1, b, c, d, e, C, D
  3. Intersect(d, c) → N
  4. Segment(A, B) → a
  5. Intersect(c, a) → P
  6. Dilate(N, 1 / part2, P) → N'
  7. Dilate(B, 1 / part_1, A) → B_1
  8. Line(A, B) → f
  9. Point(f) → E
  10. Segment(A, E) → g
  11. Point(g) → F
  12. Point(Circle[F, 5]) → G
  13. Segment(F, G) → h
  14. Polygon(F, G, 4) → poly2, i, j_1, k_1, l, H, I
  15. Sequence(Segment[Translate[D, Vector[(i * Vector[A, B_1])]], Translate[A, Vector[(i * Vector[A, B_1])]]], i, 1, part_1 - 1) → list1
  16. Dilate(H, 1 / part2, G) → H_1
  17. Translate(A, Vector[(num_5 * Vector[A, B_1])]) → B_2
  18. Translate(B_2, Vector[A, D]) → C_2
  19. Translate(G, Vector[(num_2 * Vector[G, H_1])]) → H_2
  20. Translate(H_2, Vector[G, F]) → I_2
  21. Polygon(A, B_2, C_2, D) → poly3, a_1, b_2, c_2, d_1
  22. Line(B_2, C_2) → j
  23. Line(I_2, H_2) → k
  24. Intersect(j, k) → S
  25. If(Distance[A, F] < 0.01, true, false) → over
  26. Segment(J, K) → m
  27. Segment(L, M) → n
  28. Intersect(a, b) → O
  29. Sequence(Segment[Translate[A, Vector[(i * Vector[P, N'])]], Translate[P, Vector[(i * Vector[G, H_1])]]], i, 1, part2 - 1) → list2
  30. Textfield(o) → inputBox1
  31. Translate(P, Vector[(num_6 * Vector[P, N'])]) → N_2
  32. Translate(N_2, Vector[P, B_2]) → Q
  33. Point(Circle[Q, 0.5]) → R
  34. Segment(Q, R) → p
  35. Point(Circle[B_2, 0.5]) → T
  36. Segment(B_2, T) → q
  37. Polygon(Q, B_2, T, R) → poly6, q_1, b_3, t, r
  38. Random(1, 100) → s

AI Drawing Prompt Reference

Draw a percentage grid where changing a slider value alters the shaded area. The grid consists of multiple polygons with a central point, demonstrating geometric transformations and animations to show proportion relationships. Start with a square, scale and translate parts based on the slider, fill some areas with random colors, and label the percentage values.
The prompt above was compiled from the original drawing commands and is for reference only.