MathPlotAI Logo MathPlotAI

Subtracting Integers on the Number Line

Subtracting Integers on the Number Line
Loading the math board and drawing, please wait…
2018-10-31 21:09
VectorCoordinate GeometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates the geometric representation of subtracting integers on a number line. It involves core math concepts like number line, integer subtraction, and vector operations. Key GeoGebra commands and objects used in the construction include Line, Point, Circle, OrthogonalLine, Intersect, Vector, Translate, Mirror, Segment, and Midpoint. Suitable for middle school mathematics teaching to visually understand the geometric meaning of 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

AI Drawing Prompt Reference

Draw a number line starting from point C and a line segment a. Draw a circle k with radius 4 centered at point C, and a line d perpendicular to line segment a, intersecting circle k at points R1 and J1. Draw a circle p with radius 2 centered at point C, intersecting line d at points I1 and L5. Draw a circle g with radius 1 centered at point L5, intersecting line d at points N1. Draw a circle r with centers at points R1 and N1, intersecting line d at point S1. Draw a line i perpendicular to point N1, and a circle q with radius 1 centered at point M1, intersecting line i at points O1 and P1. Draw a vector v from point I1 to point L1, translate point O1 along vector v to get point Q1, and reflect point Q1 over point O1 to get point Z1. Place points D to Z1 sequentially on line segment a.
The prompt above was compiled from the original drawing commands and is for reference only.