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Equivalent Fractions & Percentage Template (1/2 = 50/100 = 50%)

Equivalent Fractions & Percentage Template (1/2 = 50/100 = 50%)
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2015-08-03 20:34
PolygonGeometric ConstructionSlider Animation
① This template visually demonstrates the equivalence between fractions and percentages, such as 1/2 being equal to 50/100 or 50%. ② Core mathematical concepts include equivalent fractions, meaning of percentages, and conversion between fractions and percentages, fostering proportional reasoning and number sense. ③ Construction highlights: Based on the construction summary, GeoGebra commands such as Intersect, Point, Polygon, Midpoint, Segment, Line, OrthogonalLine, and Mirror are used to create a diagram with multiple points, segments, and polygons, likely partitioning a rectangle or bar to show part-whole relationships. ④ Suitable for upper elementary to middle school students learning fractions and percentages, and useful for classroom demonstrations or student exploration to build intuitive mathematical connections.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  4. Midpoint(D, C) → E
  5. Midpoint(C, B) → F
  6. Midpoint(B, A) → G
  7. Midpoint(A, D) → H
  8. Segment(E, G) → e
  9. Segment(H, F) → f
  10. Point(c) → I
  11. Point(a) → J
  12. Segment(I, J) → g
  13. Point(c) → K
  14. Segment(K, L) → h
  15. Point(c) → M
  16. Point(a) → N
  17. Segment(M, N) → i
  18. Point(c) → O
  19. Point(a) → P
  20. Segment(O, P) → j
  21. Point(c) → Q
  22. Point(a) → R
  23. Segment(Q, R) → k
  24. Point(c) → S
  25. Point(a) → T
  26. Segment(S, T) → l
  27. Point(c) → U
  28. Point(a) → V
  29. Segment(U, V) → m
  30. Point(c) → W
  31. Point(a) → Z
  32. Segment(W, Z) → n
  33. Point(d) → A_1
  34. Segment(A_1, B_1) → p
  35. Point(d) → C_1
  36. Point(b) → D_1
  37. Segment(C_1, D_1) → q
  38. Point(d) → E_1
  39. Point(b) → F_1
  40. Segment(E_1, F_1) → r
  41. Point(d) → G_1
  42. Point(b) → H_1
  43. Segment(G_1, H_1) → s
  44. Point(d) → I_1
  45. Point(b) → J_1
  46. Segment(I_1, J_1) → t
  47. Point(d) → K_1
  48. Point(b) → L_1
  49. Segment(K_1, L_1) → a_1
  50. Point(d) → M_1
  51. Point(b) → N_1
  52. Segment(M_1, N_1) → b_1
  53. Point(d) → O_1
  54. Point(b) → P_1
  55. Segment(O_1, P_1) → c_1
  56. Point(yAxis) → Q_1
  57. Point(yAxis) → R_1
  58. Point(yAxis) → S_1
  59. Point(yAxis) → T_1
  60. Segment(Q_1, T_1) → d_1
  61. Line(move, d_1) → e_1
  62. OrthogonalLine(move, d_1) → f_1
  63. Mirror(R_1, e_1) → U_1
  64. Mirror(B, e_1) → B'
  65. Mirror(D, e_1) → D'
  66. Polygon(B', U_1, 4) → poly2, g_1, h_1, i_1, j_1, V_1, W_1
  67. Point(g_1) → Z_1
  68. Point(i_1) → A_2
  69. Polygon(B', Z_1, A_2, W_1) → poly3, b', z_1, a_2, w_1