Comparing Fractions by Guillermo Bautista

Comparing Fractions by Guillermo Bautista
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2022-07-02 16:07
In collections Elementary School
This example demonstrates how to compare fractions using dynamic geometry. It involves core math concepts like fractions, geometric representation, and comparison methods. Constructed with GeoGebra commands and objects such as Point, Circle, Rotate, Angle, Polygon, Segment, CircleSector, Vector, Translate, Random. Suitable for middle school students and above to understand fraction comparison visually, or for math teaching demonstrations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, 1) → c_{4}
  3. Point(xAxis) → B
  4. Circle(B, 1) → d_{2}
  5. Point(c_{4}) → C
  6. Rotate(C, alpha1, A) → C'
  7. Angle(C, A, C') → α
  8. Polygon(C, C', b) → poly1, f, q, r, s, t, a_{2}, b_{2}, e, f_1, g_1, h_1, g, i_1, D, E, F, G, H, I, J, K, L, h, M, N, O, P, Q, R, S, T, U, i, j, k, l, n, p
  9. Segment(A, C) → j_1
  10. Segment(A, C') → k_1
  11. Segment(A, D) → l_1
  12. Segment(A, U) → m_1
  13. Segment(A, T) → n_1
  14. Segment(A, S) → p_1
  15. Segment(A, R) → q_1
  16. Segment(A, Q) → r_1
  17. Segment(A, P) → s_1
  18. Segment(A, O) → t_1
  19. Segment(A, N) → a_1
  20. Segment(A, M) → b_1
  21. Segment(A, L) → c_1
  22. Segment(A, K) → d_1
  23. Segment(A, J) → e_1
  24. Segment(A, I) → f_2
  25. Segment(A, H) → g_2
  26. Segment(A, G) → h_2
  27. Segment(A, F) → i_2
  28. Segment(A, E) → j_2
  29. Rotate(C, (alpha1 * a), A) → C'_{1}
  30. CircleSector(A, C, C'_{1}) → c_2
  31. Point(d_{2}) → V
  32. Rotate(V, beta1, B) → V'
  33. Polygon(V, V', d) → poly2, m, t_2, e_2, f_3, g_3, h_3, i_3, j_3, k_3, l_3, m_3, k_2, n_3, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, l_2, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, m_2, n_2, p_2, q_2, r_2, s_2
  34. Segment(D_1, B) → p_3
  35. Segment(C_1, B) → q_3
  36. Segment(B_1, B) → r_3
  37. Segment(A_1, B) → s_3
  38. Segment(Z, B) → t_3
  39. Segment(W, B) → a_3
  40. Segment(V', B) → b_3
  41. Segment(V, B) → c_3
  42. Segment(B, P_1) → d_3
  43. Segment(B, O_1) → e_3
  44. Segment(B, N_1) → f_4
  45. Segment(B, M_1) → g_4
  46. Segment(B, L_1) → h_4
  47. Segment(B, K_1) → i_4
  48. Segment(B, J_1) → j_4
  49. Segment(B, I_1) → k_4
  50. Segment(B, H_1) → l_4
  51. Segment(B, G_1) → m_4
  52. Segment(F_1, B) → n_4
  53. Segment(E_1, B) → p_4
  54. Rotate(V, (c * beta1), B) → V'_{1}
  55. Angle(V, B, V'_{1}) → β
  56. CircleSector(B, V, V'_{1}) → d_4
  57. Segment(Q_1, R_1) → q_4
  58. Point(q_4) → S_1
  59. Vector(Q_1, S_1) → u
  60. Translate(c_2, u) → e_4
  61. Random(2, 20) → den1
  62. Random(1, den1 - 1) → num1
  63. Random(2, 20) → den2
  64. Random(1, den2 - 1) → num2

AI Drawing Prompt Reference

Create a dynamic geometry diagram to compare fractions, featuring two concentric circles and a rotating triangle, demonstrating fraction size through rotation angles and sector areas. Start by drawing two circles with radius 1, then take a point on the first circle and rotate it to form a triangle. Use a sector to represent the fraction part, and compare two fractions by rotating a point on the second circle.
The prompt above was compiled from the original drawing commands and is for reference only.