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Fraction Addition Demo by bally

Fraction Addition Demo by bally
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2019-03-02 02:35
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the geometric intuition of adding fractions with unlike denominators. It involves core math concepts like fraction addition, handling different denominators, and geometric figure construction. The construction uses commands such as Polygon, Segment, Point, and OrthogonalLine. Suitable for middle school mathematics teaching to help students understand the essence and geometric representation of fraction addition.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Segment(E, F) → e
  3. Segment(G, H) → g
  4. Segment(I, J) → h
  5. Segment(K, L) → i
  6. Segment(M, N) → j
  7. Segment(O, P) → k
  8. Segment(Q, R) → l
  9. Polygon(A_2, B_2, C_2, D_2) → poly2, a_2, b_2, c_2, d_2
  10. Segment(E_2, F_2) → f_1
  11. Segment(G_2, H_2) → g_1
  12. Segment(J_2, K_2) → h_1
  13. Segment(L_2, M_2) → i_1
  14. Segment(N_2, O_2) → j_1
  15. Segment(P_2, Q_2) → k_1
  16. Segment(R_2, S_2) → l_1
  17. Segment(T_2, U_2) → m_1
  18. Segment(V_2, W_2) → n_1
  19. Segment(Z_2, A_3) → r_1
  20. Segment(B_3, C_3) → s_1
  21. Segment(D_3, E_3) → t_1
  22. Segment(F_3, G_3) → e_2
  23. Segment(H_3, I_3) → f_2
  24. Segment(J_3, K_3) → g_2
  25. Segment(L_3, M_3) → h_2
  26. Segment(N_3, O_3) → i_2
  27. Segment(K_5, L_5) → m
  28. Segment(M_5, N_5) → n
  29. Segment(O_5, P_5) → p
  30. Point(yAxis) → S_1
  31. OrthogonalLine(S_1, yAxis) → q
  32. Point(q) → T_1
  33. OrthogonalLine(T_1, q) → r
  34. Point(r) → U_1
  35. Segment(U_1, T_1) → s
  36. Segment(Q_5, R_5) → t
  37. Segment(S_5, T_5) → a_1
  38. Segment(U_5, V_5) → b_1
  39. Segment(W_5, Z_5) → c_1
  40. Segment(A_6, B_6) → d_1
  41. Polygon(A_2, J_2, K_2, D_2) → poly3, a_3, j_2, k_2, d_3
  42. Polygon(A, I, J, D) → poly4, a_4, i_3, j_3, d_4
  43. Segment(C_6, D_6) → e_1
  44. Segment(E_6, F_6) → l_2
  45. Segment(G_6, H_6) → m_2
  46. Segment(I_6, J_6) → n_2
  47. Segment(K_6, L_6) → r_2
  48. Segment(M_6, N_6) → s_2
  49. Segment(O_6, P_6) → t_2
  50. Segment(Q_6, R_6) → b_3
  51. Segment(S_6, T_6) → c_3
  52. Segment(U_6, V_6) → e_3
  53. Segment(W_6, Z_6) → f_3
  54. Segment(A_7, B_7) → g_3
  55. Segment(C_7, D_7) → h_3
  56. Segment(E_7, F_7) → k_3
  57. Segment(G_7, H_7) → l_3
  58. Segment(I_7, J_7) → m_3
  59. Segment(K_7, L_7) → n_3
  60. Segment(M_7, N_7) → q_3
  61. Segment(O_7, P_7) → r_3
  62. Segment(Q_7, R_7) → s_3
  63. Segment(S_7, T_7) → t_3
  64. Segment(U_7, V_7) → b_4
  65. Segment(W_7, Z_7) → c_4
  66. Segment(A_8, B_8) → e_4
  67. Segment(C_8, D_8) → f_4
  68. Segment(E_8, F_8) → g_4
  69. Segment(G_8, H_8) → h_4
  70. Segment(I_8, J_8) → i_4
  71. Segment(K_8, L_8) → j_4
  72. Segment(M_8, N_8) → k_4
  73. Segment(O_8, P_8) → l_4
  74. Segment(Q_8, R_8) → m_4
  75. Segment(S_8, T_8) → n_4
  76. Segment(U_8, V_8) → p_4
  77. Segment(W_8, Z_8) → q_4
  78. Segment(A_9, B_9) → r_4
  79. Segment(C_9, D_9) → s_4
  80. Segment(E_9, F_9) → t_4
  81. Segment(G_9, H_9) → a_5
  82. Segment(I_9, J_9) → b_5
  83. Segment(K_9, L_9) → c_5
  84. Segment(M_9, N_9) → d_5
  85. Segment(O_9, P_9) → e_5
  86. Segment(Q_9, R_9) → f_5
  87. Segment(S_9, T_9) → g_5
  88. Segment(U_9, V_9) → h_5
  89. Segment(W_9, Z_9) → i_5
  90. Segment(A_10, A_11) → j_5
  91. Segment(C_11, D_11) → k_5
  92. Segment(E_11, F_11) → l_5

AI Drawing Prompt Reference

Create a geometric illustration demonstrating the intuitive understanding of adding fractions with unlike denominators. Construct two polygons to represent fractions and use segments and orthogonal lines to build auxiliary shapes, combining them into a complete geometric model that clearly shows the essence of fraction addition.
The prompt above was compiled from the original drawing commands and is for reference only.