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Subtracting Integers on the Real Number Line

Subtracting Integers on the Real Number Line
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2018-01-22 01:21
Coordinate GeometryGeometric Construction
This example demonstrates the concept of subtracting integers on the real number line. It involves the core mathematical concepts of integers and the real number line. Using GeoGebra commands such as Line, Point, Circle, Vector, etc., the subtraction process is visually illustrated. Suitable for middle school mathematics education to help students understand integer subtraction.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. Circle(C, 4) → k
  4. OrthogonalLine(C, a) → d
  5. Intersect(k, d, 2) → R_1
  6. Intersect(k, d, 1) → J_1
  7. Circle(C, 2) → p
  8. Intersect(p, d) → I_1, L_5
  9. Circle(L_5, 1) → g
  10. Intersect(g, d, 1) → N_1
  11. Circle(R_1, N_1) → r
  12. Intersect(r, d, 2) → S_1
  13. OrthogonalLine(N_1, d) → i
  14. Circle(M_1, 1) → q
  15. Intersect(q, i) → O_1, P_1
  16. Vector(I_1, L_1) → v
  17. Translate(O_1, v) → Q_1
  18. Mirror(Q_1, O_1) → Z_1
  19. Point(a) → D
  20. Point(a) → E
  21. Point(a) → F
  22. Point(a) → G
  23. Point(a) → H
  24. Point(a) → I
  25. Point(a) → J
  26. Point(a) → K
  27. Point(a) → L
  28. Point(a) → M
  29. Point(a) → N
  30. Point(a) → O
  31. Point(a) → P
  32. Point(a) → Q
  33. Point(a) → R
  34. Point(a) → S
  35. Point(a) → T
  36. Point(a) → U
  37. Point(a) → V
  38. Point(a) → W
  39. Point(a) → Y
  40. Point(a) → Z
  41. Point(a) → A_1
  42. Point(a) → B_1
  43. Point(a) → C_1
  44. Point(a) → D_1
  45. Point(a) → E_1
  46. Point(a) → F_1
  47. Point(a) → G_1
  48. Point(a) → H_1
  49. OrthogonalLine(I_1, d) → e
  50. OrthogonalLine(L_5, d) → h
  51. OrthogonalLine(J_1, d) → f
  52. Vector(J_1, K_1) → u
  53. Vector(L_5, M_1) → w
  54. Vector(O_1, Q_1) → z
  55. OrthogonalLine(S_1, d) → j
  56. Vector(S_1, T_1) → l
  57. Segment(J_1, S_1) → m
  58. Segment(M_1, O_1) → t
  59. OrthogonalLine(K_1, a) → n
  60. Intersect(n, a) → U_1
  61. OrthogonalLine(L_1, a) → s
  62. OrthogonalLine(T_1, a) → a_1
  63. Intersect(s, a) → W_1
  64. Intersect(a_1, a) → Y_1
  65. Segment(K_1, U_1) → b_1
  66. Segment(T_1, Y_1) → c_1
  67. Segment(L_1, W_1) → d_1
  68. Segment(I_1, L_1) → b_2
  69. Segment(J_1, K_1) → e_1
  70. Segment(L_5, M_1) → f_1
  71. Segment(Q_1, O_1) → g_1
  72. Segment(T_1, S_1) → h_1
  73. Midpoint(J_1, K_1) → Z_2
  74. Midpoint(I_1, L_1) → A_2
  75. Midpoint(L_5, M_1) → B_2
  76. Midpoint(Q_1, O_1) → C_2
  77. Mirror(O_1, O_1) → O_1'
  78. Segment(Z_1, O_1') → i_1
  79. Vector(O_1, Z_1) → u_1
  80. Segment(O_1, Z_1) → j_1
  81. Midpoint(O_1, Z_1) → V_1
  82. Segment(Z_1, Y_1) → k_1
  83. Point(a) → D_2
  84. Point(a) → E_2
  85. Point(a) → F_2
  86. Point(a) → G_2
  87. Point(a) → H_2
  88. Point(a) → I_2
  89. Point(a) → J_2
  90. Point(a) → K_2
  91. Point(a) → L_2
  92. Point(a) → M_2