Equivalent Fractions by Ng Hwee Hwee

Equivalent Fractions by Ng Hwee Hwee
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2015-08-04 11:41
This applet demonstrates the equivalence of fractions with denominators 2, 4, 5, 10, 20, and 25 to fractions with a denominator of 100. It covers the core math concept of fraction equivalence. Constructed using GeoGebra commands such as Intersect, Point, Polygon, etc. Suitable for upper elementary and middle school students learning fraction conversion.

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(A, D) → E
  5. Midpoint(C, B) → F
  6. Midpoint(B, A) → G
  7. Midpoint(C, D) → H
  8. Segment(H, G) → e
  9. Segment(E, F) → f
  10. Point(d) → I
  11. Segment(I, J) → g
  12. Point(d) → K
  13. Segment(K, L) → h
  14. Point(d) → M
  15. Point(b) → N
  16. Segment(M, N) → i
  17. Point(d) → O
  18. Point(b) → P
  19. Segment(O, P) → j
  20. Point(d) → Q
  21. Segment(Q, R) → k
  22. Point(d) → S
  23. Point(b) → T
  24. Segment(S, T) → l
  25. Point(d) → U
  26. Point(b) → V
  27. Segment(U, V) → m
  28. Point(d) → W
  29. Point(b) → Z
  30. Segment(W, Z) → n
  31. Point(c) → A_1
  32. Segment(A_1, B_1) → p
  33. Point(c) → C_1
  34. Point(a) → D_1
  35. Segment(C_1, D_1) → q
  36. Point(c) → E_1
  37. Point(a) → F_1
  38. Segment(E_1, F_1) → r
  39. Point(c) → G_1
  40. Point(a) → H_1
  41. Segment(G_1, H_1) → s
  42. Point(c) → I_1
  43. Point(a) → J_1
  44. Segment(I_1, J_1) → t
  45. Point(c) → K_1
  46. Segment(K_1, L_1) → a_1
  47. Point(c) → M_1
  48. Point(a) → N_1
  49. Segment(M_1, N_1) → b_1
  50. Point(c) → O_1
  51. Point(a) → P_1
  52. Segment(O_1, P_1) → c_1
  53. Point(yAxis) → Q_1
  54. Point(yAxis) → R_1
  55. Segment(Q_1, R_1) → d_1
  56. OrthogonalLine(R_1, d_1) → e_1
  57. Point(e_1) → MOVE
  58. Line(MOVE, d_1) → f_1
  59. Mirror(MOVE, f_1) → T_1
  60. Mirror(A, f_1) → A'
  61. Mirror(B, f_1) → B'
  62. Mirror(C, f_1) → C'
  63. Mirror(D, f_1) → D'
  64. Polygon(B', A', D', C') → poly2, b', a', d', c'
  65. Midpoint(C', D') → Z_1
  66. Midpoint(B', A') → A_2
  67. Midpoint(C', B') → B_2
  68. Midpoint(D', A') → C_2
  69. Segment(Z_1, A_2) → i_1
  70. Segment(B_2, C_2) → j_1
  71. Segment(Z_1, A_2) → k_1
  72. Midpoint(A_2, B') → I_2
  73. Point(d') → D_2
  74. Point(b') → E_2
  75. Segment(D_2, E_2) → l_1
  76. Point(d') → F_2
  77. Point(b') → G_2
  78. Segment(F_2, G_2) → m_1
  79. Point(d') → H_2
  80. Point(b') → J_2
  81. Segment(H_2, J_2) → n_1
  82. Point(d') → K_2
  83. Point(b') → L_2
  84. Segment(K_2, L_2) → p_1
  85. Point(c') → M_2
  86. Point(a') → N_2
  87. Segment(M_2, N_2) → q_1
  88. Point(c') → O_2
  89. Point(a') → P_2
  90. Segment(O_2, P_2) → r_1
  91. Point(c') → Q_2
  92. Point(a') → R_2
  93. Segment(Q_2, R_2) → s_1
  94. Point(c') → S_2
  95. Point(a') → T_2
  96. Segment(S_2, T_2) → t_1
  97. Segment(M_2, N_2) → a_2
  98. Segment(O_2, P_2) → b_2
  99. Segment(Q_2, R_2) → c_2
  100. Segment(S_2, T_2) → d_2
  101. Segment(M_2, N_2) → e_2
  102. Point(c') → U_2
  103. Point(a') → V_2
  104. Segment(O_2, P_2) → g_2
  105. Point(c') → W_2
  106. Segment(Q_2, R_2) → i_2
  107. Point(c') → A_3
  108. Point(a') → B_3
  109. Segment(S_2, T_2) → k_2
  110. Point(c') → C_3
  111. Point(a') → D_3
  112. Point(d') → G_3
  113. Segment(M_2, N_2) → h_2
  114. Segment(U_2, V_2) → j_2
  115. Segment(O_2, P_2) → l_2
  116. Segment(Q_2, R_2) → n_2
  117. Segment(A_3, B_3) → p_2
  118. Segment(S_2, T_2) → q_2
  119. Segment(C_3, D_3) → t_2
  120. Point(b') → U_1
  121. Segment(G_3, U_1) → g_1
  122. Point(b') → V_1
  123. Segment(G_3, V_1) → h_1
  124. Point(a') → W_1
  125. Segment(W_2, W_1) → f_2
  126. Point(c') → I_3
  127. Point(a') → J_3
  128. Segment(I_3, J_3) → m_2
  129. Point(d') → width
  130. Point(c') → length
  131. OrthogonalLine(width, d') → r_2
  132. OrthogonalLine(length, c') → s_2
  133. Intersect(r_2, s_2) → L_3
  134. Polygon(length, L_3, width, C') → poly3, k_3, l_3, s_3, c'_1

AI Drawing Prompt Reference

Draw a coordinate system with points on the x and y axes. Form a square using these points and the origin. Inside the square, draw two line segments to divide it into four smaller triangles. Then, outside the square, draw multiple line segments connecting the square's vertices to new points, creating various shapes to demonstrate the equivalence of fractions.
The prompt above was compiled from the original drawing commands and is for reference only.