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Visualizing Square Root Estimation

Visualizing Square Root Estimation
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2016-07-22 02:11
FunctionCoordinate GeometryGeometric Construction
This is a visual aid to help kids understand the relationship between squares, side lengths, square roots, and the process of estimating square roots. It involves key math concepts such as squares, square roots, and estimation methods. Using GeoGebra commands like TextField, Point, Segment, etc., it dynamically demonstrates the process of estimating square roots. Suitable for high-grade elementary and junior high school students.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(c) → InputBox2
  3. Point(Circle[A, b]) → B
  4. Segment(A, B) → g
  5. Point(Circle[C, d]) → D
  6. Segment(C, D) → h
  7. Point(Circle[E, b]) → F
  8. Segment(E, F) → i
  9. Rotate(E, 90°, E) → E'
  10. Rotate(F, 90°, E) → F'
  11. Segment(E', F') → i'
  12. Line(F', F) → j
  13. Mirror(E, j) → E'_1
  14. Mirror(F, j) → F'_1
  15. Segment(E'_1, F'_1) → i'_1
  16. Mirror(E', j) → E''
  17. Mirror(F', j) → F''
  18. Segment(E'', F'') → i''
  19. Polygon(E, F, E'_1, F') → poly1, e, f_1, e'_1, f'
  20. Point(Circle[G, d]) → H
  21. Segment(G, H) → k
  22. Rotate(G, 90°, G) → G'
  23. Rotate(H, 90°, G) → H'
  24. Segment(G', H') → k'
  25. Rotate(G', 90°, H') → G''
  26. Rotate(H', 90°, H') → H''
  27. Segment(G'', H'') → k''
  28. Rotate(G'', 90°, G'') → G'''
  29. Rotate(H'', 90°, G'') → H'''
  30. Segment(G''', H''') → k'''
  31. Polygon(G, H, G'', H') → poly2, g_1, h_1, g'', h'
  32. Textfield(p) → InputBox3
  33. Point(Circle[I, rootp]) → J
  34. Segment(I, J) → l
  35. Rotate(I, 90°, I) → I'
  36. Rotate(J, 90°, I) → J'
  37. Segment(I', J') → l'
  38. Rotate(I', 90°, J') → I''
  39. Rotate(J', 90°, J') → J''
  40. Segment(I'', J'') → l''
  41. Rotate(I'', 90°, I'') → I'''
  42. Rotate(J'', 90°, I'') → J'''
  43. Segment(I''', J''') → l'''
  44. Polygon(I, J', I'', J) → poly3, i_1, j', i''_1, j_1
  45. Point(Circle[K, rootp]) → L
  46. Segment(K, L) → m
  47. Point(f) → M
  48. Point(f) → N
  49. Point(f) → O
  50. Point(f) → P
  51. Point(f) → R
  52. Point(f) → S
  53. Point(f) → T
  54. Point(f) → U
  55. Point(f) → V
  56. Point(f) → W
  57. Point(f) → Z
  58. Point(f) → A_1
  59. Point(f) → B_1
  60. Point(f) → C_1