MathPlotAI Logo MathPlotAI

Adding Integers on the Number Line by Karen ODonnell

Adding Integers on the Number Line by Karen ODonnell
Loading the math board and drawing, please wait…
2015-08-09 04:34
VectorCoordinate GeometryGeometric Construction
This example dynamically demonstrates how to perform integer addition using a number line. It involves core math concepts like number line, integer operations, and vector addition. Construction highlights include commands like Line, Point, Vector, Translate, and Segment from GeoGebra. Suitable for middle school mathematics teaching to visually explain the geometric meaning of integer addition.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. Circle(C, 2) → p
  4. OrthogonalLine(C, a) → d
  5. Point(a) → D
  6. Point(a) → E
  7. Point(a) → F
  8. Point(a) → G
  9. Point(a) → H
  10. Point(a) → I
  11. Point(a) → J
  12. Point(a) → K
  13. Point(a) → L
  14. Point(a) → M
  15. Point(a) → N
  16. Point(a) → O
  17. Point(a) → P
  18. Point(a) → Q
  19. Point(a) → R
  20. Point(a) → S
  21. Point(a) → T
  22. Point(a) → U
  23. Point(a) → V
  24. Point(a) → W
  25. Point(a) → Y
  26. Point(a) → Z
  27. Point(a) → A_1
  28. Point(a) → B_1
  29. Point(a) → C_1
  30. Point(a) → D_1
  31. Point(a) → E_1
  32. Point(a) → F_1
  33. Point(a) → G_1
  34. Point(a) → H_1
  35. Intersect(p, d) → I_1, L_5
  36. OrthogonalLine(I_1, d) → e
  37. Vector(I_1, L_1) → v
  38. OrthogonalLine(L_5, d) → h
  39. Circle(C, 4) → k
  40. Intersect(k, d, 1) → J_1
  41. OrthogonalLine(J_1, d) → f
  42. Vector(J_1, K_1) → u
  43. Vector(L_5, M_1) → w
  44. Circle(L_5, 1) → g
  45. Intersect(g, d, 1) → N_1
  46. OrthogonalLine(N_1, d) → i
  47. Circle(M_1, 1) → q
  48. Intersect(q, i) → O_1, P_1
  49. Translate(O_1, v) → Q_1
  50. Vector(O_1, Q_1) → z
  51. Intersect(k, d, 2) → R_1
  52. Circle(R_1, N_1) → r
  53. Intersect(r, d, 2) → S_1
  54. OrthogonalLine(S_1, d) → j
  55. Vector(S_1, T_1) → l
  56. Segment(J_1, S_1) → m
  57. Segment(M_1, O_1) → t
  58. OrthogonalLine(K_1, a) → n
  59. Intersect(n, a) → U_1
  60. OrthogonalLine(L_1, a) → s
  61. OrthogonalLine(T_1, a) → a_1
  62. Intersect(s, a) → W_1
  63. Intersect(a_1, a) → Y_1
  64. Segment(K_1, U_1) → b_1
  65. Segment(T_1, Y_1) → c_1
  66. Segment(L_1, W_1) → d_1
  67. Segment(I_1, L_1) → b_2
  68. Segment(J_1, K_1) → e_1
  69. Segment(L_5, M_1) → f_1
  70. Segment(Q_1, O_1) → g_1
  71. Segment(T_1, S_1) → h_1
  72. Midpoint(J_1, K_1) → Z_1
  73. Midpoint(I_1, L_1) → A_2
  74. Midpoint(L_5, M_1) → B_2
  75. Midpoint(Q_1, O_1) → C_2
  76. Segment(Q_1, Y_1) → i_1
  77. Point(a) → V_1
  78. Point(a) → D_2
  79. Point(a) → E_2
  80. Point(a) → F_2
  81. Point(a) → G_2
  82. Point(a) → H_2
  83. Point(a) → I_2
  84. Point(a) → J_2
  85. Point(a) → K_2
  86. Point(a) → L_2