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Visualizing Ratios

Visualizing Ratios
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2017-05-03 23:57
TriangleSequenceGeometric Construction
This example demonstrates ratio relationships through dynamic graphics, involving concepts of triangles and numbers. It uses GeoGebra commands such as Sequence, Textfield, If, and Max, suitable for middle school and above students to learn about ratios and triangle-related knowledge.

GeoGebra Commands & Parameters

  1. Sequence(Curc[A + ((i * 0.55), 0)], i, 0, C - 1) → list1
  2. Sequence(Translate[list1, Vector[(i * (0, 0.55))]], i, 0, rows - 1) → list2
  3. Sequence(Polygon[B + ((i * 0.55), 0), B + ((i * 0.55) + 0.5, 0), 4], i, 0, S - 1) → list3
  4. Sequence(Translate[list3, Vector[(i * (0, 0.55))]], i, 0, rows - 1) → list4
  5. Textfield(C) → inputBox1
  6. Textfield(S) → inputBox2
  7. If(Row[B2] ≤ rows, (Row[B2] * S)) → B3
  8. If(Row[B3] ≤ rows, (Row[B3] * S)) → B4
  9. If(Row[B4] ≤ rows, (Row[B4] * S)) → B5
  10. If(Row[B5] ≤ rows, (Row[B5] * S)) → B6
  11. If(Row[B6] ≤ rows, (Row[B6] * S)) → B7
  12. If(Row[B7] ≤ rows, (Row[B7] * S)) → B8
  13. If(Row[B8] ≤ rows, (Row[B8] * S)) → B9
  14. If(Row[B9] ≤ rows, (Row[B9] * S)) → B10
  15. If(Row[B10] ≤ rows, (Row[B10] * S)) → B11
  16. If(Row[B11] ≤ rows, (Row[B11] * S)) → B12
  17. If(Row[B12] ≤ rows, (Row[B12] * S)) → B13
  18. If(Row[B13] ≤ rows, (Row[B13] * S)) → B14
  19. If(Row[B14] ≤ rows, (Row[B14] * S)) → B15
  20. If(Row[B15] ≤ rows, (Row[B15] * S)) → B16
  21. If(Row[B16] ≤ rows, (Row[B16] * S)) → B17
  22. If(Row[B17] ≤ rows, (Row[B17] * S)) → B18
  23. If(Row[B18] ≤ rows, (Row[B18] * S)) → B19
  24. If(Row[B19] ≤ rows, (Row[B19] * S)) → B20
  25. If(Row[B20] ≤ rows, (Row[B20] * S)) → B21
  26. If(Row[B21] ≤ rows, (Row[B21] * S)) → B22
  27. If(Row[B22] ≤ rows, (Row[B22] * S)) → B23
  28. If(Row[B23] ≤ rows, (Row[B23] * S)) → B24
  29. If(Row[B24] ≤ rows, (Row[B24] * S)) → B25
  30. If(Row[B25] ≤ rows, (Row[B25] * S)) → B26
  31. If(Row[B26] ≤ rows, (Row[B26] * S)) → B27
  32. If(Row[B27] ≤ rows, (Row[B27] * S)) → B28
  33. If(Row[B28] ≤ rows, (Row[B28] * S)) → B29
  34. If(Row[B29] ≤ rows, (Row[B29] * S)) → B30
  35. Max(6, y(A) + (0.55 * rows)) → ymax
  36. If(Row[A2] ≥ rows, (Row[A2] * C)) → a
  37. If(Row[A2] ≤ rows, (Row[A2] * C)) → A3
  38. If(Row[A3] ≤ rows, (Row[A3] * C)) → A4
  39. If(Row[A4] ≤ rows, (Row[A4] * C)) → A5
  40. If(Row[A5] ≤ rows, (Row[A5] * C)) → A6
  41. If(Row[A6] ≤ rows, (Row[A6] * C)) → A7
  42. If(Row[A7] ≤ rows, (Row[A7] * C)) → A8
  43. If(Row[A8] ≤ rows, (Row[A8] * C)) → A9
  44. If(Row[A9] ≤ rows, (Row[A9] * C)) → A10
  45. If(Row[A10] ≤ rows, (Row[A10] * C)) → A11
  46. If(Row[A11] ≤ rows, (Row[A11] * C)) → A12
  47. If(Row[A12] ≤ rows, (Row[A12] * C)) → A13
  48. If(Row[A13] ≤ rows, (Row[A13] * C)) → A14
  49. If(Row[A14] ≤ rows, (Row[A14] * C)) → A15
  50. If(Row[A15] ≤ rows, (Row[A15] * C)) → A16
  51. If(Row[A16] ≤ rows, (Row[A16] * C)) → A17
  52. If(Row[A17] ≤ rows, (Row[A17] * C)) → A18
  53. If(Row[A18] ≤ rows, (Row[A18] * C)) → A19
  54. If(Row[A19] ≤ rows, (Row[A19] * C)) → A20
  55. If(Row[A20] ≤ rows, (Row[A20] * C)) → A21
  56. If(Row[A21] ≤ rows, (Row[A21] * C)) → A22
  57. If(Row[A22] ≤ rows, (Row[A22] * C)) → A23
  58. If(Row[A23] ≤ rows, (Row[A23] * C)) → A24
  59. If(Row[A24] ≤ rows, (Row[A24] * C)) → A25
  60. If(Row[A25] ≤ rows, (Row[A25] * C)) → A26
  61. If(Row[A26] ≤ rows, (Row[A26] * C)) → A27
  62. If(Row[A27] ≤ rows, (Row[A27] * C)) → A28
  63. If(Row[A28] ≤ rows, (Row[A28] * C)) → A29
  64. If(Row[A29] ≤ rows, (Row[A29] * C)) → A30
  65. If(Row[A30] ≤ rows, (Row[A30] * C)) → A31
  66. If(Row[A31] ≤ rows, (Row[A31] * C)) → A32
  67. If(Row[B30] ≤ rows, (Row[B30] * S)) → B31
  68. If(Row[B31] ≤ rows, (Row[B31] * S)) → B32