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Fraction Addition/Subtraction - Different Denominators

Fraction Addition/Subtraction - Different Denominators
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2017-01-20 06:42
FunctionCalculusGeometric Construction
This example demonstrates the process of adding and subtracting fractions with different denominators. Key mathematical concepts include basic fraction operations and common denominators. Using GeoGebra commands such as Polygon, Point, Segment, and Intersect, the geometric meaning of fraction addition and subtraction is visually illustrated. Suitable for high-grade elementary and junior high school students.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(A_1, B_1, C_1, D_1) → poly1_1, a_1, b_1, c_1, d_1
  3. Point(a) → E
  4. Point(c) → F
  5. Segment(E, F) → f
  6. Point(a) → G
  7. Segment(G, H) → g
  8. Point(a) → I
  9. Point(c) → J
  10. Segment(I, J) → h
  11. Point(a) → K
  12. Segment(K, L) → i
  13. Point(a) → M
  14. Segment(M, N) → j
  15. Intersect(d, xAxis) → O
  16. Intersect(b, xAxis) → P
  17. Segment(O, P) → k
  18. Point(a_1) → Q
  19. Point(c_1) → R
  20. Point(a_1) → S
  21. Segment(S, T) → m
  22. Point(a_1) → U
  23. Point(a_1) → W
  24. Point(c_1) → Z
  25. Segment(W, Z) → p
  26. Point(a_1) → E_1
  27. Intersect(d_1, xAxis) → G_1
  28. Intersect(b_1, xAxis) → H_1
  29. Segment(G_1, H_1) → r
  30. Intersect(a, d) → I_1
  31. Intersect(a, f) → J_1
  32. Point(f) → K_1
  33. Intersect(d, k) → L_1
  34. Polygon(M_1, N_1, O_1, P_1) → poly3, m_1, n_1, o_1, p_1
  35. Polygon(Q_1, R_1, S_1, T_1) → poly4, q_1, r_1, s_1, t_1
  36. Polygon(U_1, V_1, W_1, Z_1) → poly5, u_1, v_1, w_1, z_1
  37. Polygon(A_2, B_2, C_2, D_2) → poly6, a_2, b_2, c_2, d_2
  38. Point(d_2) → E_2
  39. Segment(E_2, F_2) → l
  40. Polygon(A_3, B_3, C_3, D_3) → poly1_2, a_3, b_3, c_3, d_3
  41. Point(a_3) → E_3
  42. Point(c_3) → F_3
  43. Point(a_3) → G_2
  44. Point(a_3) → I_3
  45. Point(c_3) → J_2
  46. Point(a_3) → K_2
  47. Point(a_3) → M_2
  48. Intersect(a_3, d_3) → I_2
  49. Point(c_3) → L_2
  50. Segment(H_2, L_2) → n
  51. Point(a_3) → N_2
  52. Segment(N_2, O_2) → q
  53. Point(a_3) → P_2
  54. Segment(P_2, Q_2) → s
  55. Point(a_3) → R_2
  56. Point(c_3) → S_2
  57. Segment(R_2, S_2) → t
  58. Point(a_3) → T_2
  59. Point(c_3) → U_2
  60. Segment(T_2, U_2) → e
  61. Point(d_3) → V_2
  62. Segment(V_2, W_2) → f_1
  63. Intersect(a_3, d_3) → Z_2
  64. Intersect(a_3, n) → G_3
  65. Point(n) → H_3
  66. Intersect(d_3, f_1) → J_3
  67. Polygon(Z_2, G_3, H_3, J_3) → poly7, z_2, g_3, h_3, j_3
  68. Intersect(q, f_1) → K_3
  69. Intersect(c_3, q) → L_3
  70. Point(d_3) → M_3
  71. Polygon(J_3, K_3, L_3, M_3) → poly8, j_2, k_3, l_3, m_3