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Fraction Multiplication Demo by benny varghese

Fraction Multiplication Demo by benny varghese
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2016-12-12 08:32
FunctionTrigonometryCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the geometric meaning of fraction multiplication through dynamic visuals, intuitively showing the process and result of multiplying fractions. It involves core math concepts like fraction operations, geometric shapes (lines, segments, polygons), coordinate geometry, and transformations. GeoGebra commands and objects such as Line, Point, Segment, Polygon, Circle, Intersect, OrthogonalLine, and Textfield are used to construct a visual model of fraction multiplication. Suitable for middle school and above learners to understand the principles and geometric applications of fraction multiplication.

GeoGebra Commands & Parameters

  1. Line(A, B) → a_5
  2. Point(a_5) → C
  3. Point(a_5) → D
  4. Point(Circle[D, abs(size)]) → F
  5. Segment(D, F) → c_5
  6. Polygon(D, F, 4) → poly1, d, e, f, g, G, H
  7. Circle(H, i_1) → k
  8. Intersect(k, f) → I,
  9. Line(I, g) → j
  10. Intersect(j, a_5) → F_1
  11. Segment(I, F_1) → p_1
  12. Intersect(f, g) → R_1
  13. Polygon(A, Q_1, S_1, R_1) → poly2, a_3, q_2, s_2, r_2
  14. OrthogonalLine(U_1, a_5) → g_2
  15. Polygon(T_1, U_1, 4) → poly3, h_2, i_2, j_2, k_2, V_1, W_1
  16. Circle(U_1, z) → p_2
  17. Intersect(p_2, h_2) → Z_1,
  18. Circle(Z_1, z) → c_3
  19. Intersect(c_3, h_2) → A_2, B_2
  20. Circle(A_2, z) → d_3
  21. Intersect(d_3, h_2) → C_2, D_2
  22. Circle(C_2, z) → e_3
  23. Intersect(e_3, h_2, 1) → H_2
  24. Line(H_2, i_2) → m_3
  25. Line(A_2, i_2) → n_3
  26. Line(Z_1, i_2) → s_3
  27. Line(C_2, i_2) → t_3
  28. Intersect(j_2, m_3) → C_3
  29. Intersect(j_2, t_3) → D_3
  30. Intersect(j_2, n_3) → E_3
  31. Intersect(j_2, s_3) → F_3
  32. Segment(C_2, D_3) → a_4
  33. Segment(A_2, E_3) → b_4
  34. Segment(Z_1, F_3) → c_4
  35. Segment(H_2, C_3) → k_4
  36. Line(H_3, i_2) → l_4
  37. Line(V_1, W_1) → m_4
  38. Intersect(l_4, m_4) → I_3
  39. Polygon(B_2, V_1, I_3, H_3) → poly4, b_5, v_1, i_5, h_5
  40. Circle(I, i_1) → q
  41. Intersect(q, f) → J, K
  42. Circle(J, i_1) → r
  43. Intersect(r, f) → L, M
  44. Circle(L, i_1) → s
  45. Intersect(s, f) → N, O
  46. Circle(N, i_1) → d_1
  47. Intersect(d_1, f) → P, Q
  48. Circle(P, i_1) → e_1
  49. Intersect(e_1, f) → R, S
  50. Circle(R, i_1) → f_1
  51. Intersect(f_1, f) → T, U
  52. Circle(T, i_1) → g_1
  53. Intersect(g_1, f) → V, W
  54. Circle(V, i_1) → h_1
  55. Intersect(h_1, f) → Z, A_1
  56. Circle(Z, i_1) → k_1
  57. Intersect(k_1, f) → B_1, C_1
  58. Circle(B_1, Z) → q_1
  59. Intersect(q_1, f) → D_1, E_1
  60. Line(J, p_1) → i
  61. Line(L, i) → l
  62. Line(N, l) → m
  63. Line(P, m) → n
  64. Line(R, n) → a_1
  65. Line(T, a_1) → b_1
  66. Line(V, b_1) → j_1
  67. Line(Z, j_1) → l_1
  68. Line(B_1, l_1) → m_1
  69. Line(E_1, m_1) → n_1
  70. Intersect(i, a_5) → G_1
  71. Intersect(l, a_5) → H_1
  72. Intersect(m, a_5) → I_1
  73. Intersect(n, a_5) → J_1
  74. Intersect(a_1, a_5) → K_1
  75. Intersect(b_1, a_5) → L_1
  76. Intersect(j_1, a_5) → E
  77. Intersect(l_1, a_5) → M_1
  78. Intersect(m_1, a_5) → N_1
  79. Intersect(n_1, a_5) → O_1
  80. Segment(J, G_1) → p
  81. Segment(L, H_1) → r_1
  82. Segment(J, N) → s_1
  83. Segment(I_1, N) → t_1
  84. Segment(P, J_1) → a_2
  85. Segment(R, K_1) → b_2
  86. Segment(T, L_1) → c_2
  87. Segment(V, E) → d_2
  88. Segment(Z, M_1) → e_2
  89. Segment(B_1, N_1) → f_2
  90. Segment(E_1, O_1) → t_2
  91. Intersect(e_3, h_2) → P_1, E_2
  92. Circle(P_1, z) → f_3
  93. Intersect(f_3, h_2) → F_2, G_2
  94. Circle(F_2, z) → g_3
  95. Intersect(g_3, h_2) → I_2, J_2
  96. Circle(I_2, z) → h_3
  97. Intersect(h_3, h_2) → K_2, L_2
  98. Circle(K_2, z) → k_3
  99. Intersect(k_3, h_2) → M_2, N_2
  100. Circle(M_2, z) → p_3
  101. Intersect(p_3, h_2) → O_2, P_2
  102. Circle(O_2, z) → q_3
  103. Intersect(q_3, h_2) → Q_2, R_2
  104. Circle(Q_2, z) → r_3
  105. Intersect(r_3, h_2) → S_2, T_2
  106. Line(F_2, k_4) → l_2
  107. Line(I_2, l_2) → m_2
  108. Line(K_2, m_2) → n_2
  109. Line(M_2, n_2) → b_3
  110. Line(O_2, b_3) → i_3
  111. Line(Q_2, i_3) → j_3
  112. Line(S_2, j_3) → l_3
  113. Intersect(j_2, l_3) → U_2
  114. Intersect(j_2, j_3) → V_2
  115. Intersect(j_2, i_3) → W_2
  116. Intersect(j_2, b_3) → Z_2
  117. Intersect(j_2, n_2) → A_3
  118. Intersect(j_2, m_2) → B_3
  119. Intersect(j_2, l_2) → G_3
  120. Segment(F_2, G_3) → d_4
  121. Segment(I_2, B_3) → e_4
  122. Segment(K_2, A_3) → f_4
  123. Segment(M_2, Z_2) → g_4
  124. Segment(O_2, W_2) → h_4
  125. Segment(Q_2, V_2) → i_4
  126. Segment(S_2, U_2) → j_4
  127. Segment(J_3, K_3) → n_4
  128. Textfield(o) → inputBox1
  129. Textfield(h) → inputBox2
  130. Textfield(w) → inputBox3
  131. Textfield(t) → inputBox4
  132. Segment(J_4, K_4) → n_5