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Integer Addition/Subtraction Demo

Integer Addition/Subtraction Demo
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2018-08-31 23:23
VectorCoordinate GeometryGeometric Construction
This example visually demonstrates the process of adding/subtracting integers using dynamic geometry. It involves core math concepts like integer operations, number line representation, and vector addition/subtraction. Key GeoGebra commands and objects used include Point, Vector, Segment, Polygon, Sequence, OrthogonalLine, Intersect to create an animated number line and vector operations. Suitable for middle school mathematics teaching to help students intuitively understand abstract integer operations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Point(xAxis) → C
  4. Vector(C, A) → u
  5. Vector(C, B) → v
  6. If(a ≟ 0, (Starting - Walk, 0), (Starting + Walk, 0)) → F
  7. If(directionA ≟ 0, 1, 0) → Direction
  8. Point(xAxis) → O
  9. Point(xAxis) → Q
  10. Point(xAxis) → R
  11. Vector(Q, R) → z
  12. Point(xAxis) → D_3
  13. Point(xAxis) → M_4
  14. Point(xAxis) → N_4
  15. Vector(M_4, N_4) → a_1
  16. Segment(U_4, U_4 + (0, 0.7)) → d_1
  17. Segment(U_4, U_4 + (0, 0.7)) → e_1
  18. If(a ≟ 0, (Starting - Walk, 0.8), (Starting + Walk, 0.8)) → WalkStop
  19. Vector(WalkStart, WalkStop) → f_1
  20. Vector((0, 0.4), WalkStart + (0, -0.4)) → h_1
  21. Polygon(ResetPolyPt, ResetPolyPt + (2, 0), ResetPolyPt + (2, 1), ResetPolyPt + (0, 1)) → resetPoly, resetPolySegB, resetPolySegR, resetPolySegT, resetPolySegL
  22. Sequence(Segment[(i, 0.14), (i, -0.14)], i, -15, 20, 1) → hashTops
  23. Point(xAxis) → W_4
  24. OrthogonalLine(W_4, xAxis) → f
  25. Point(f) → Z_4
  26. OrthogonalLine(Z_4, f) → g
  27. Point(f) → A_5
  28. OrthogonalLine(A_5, f) → h
  29. Point(h) → B_5
  30. OrthogonalLine(B_5, h) → i
  31. Point(h) → C_5
  32. OrthogonalLine(C_5, h) → j
  33. Intersect(g, i) → D_5
  34. Intersect(g, j) → E_5
  35. Point(h) → F_5
  36. OrthogonalLine(F_5, g) → k
  37. Intersect(g, k) → G_5
  38. Polygon(A_5, B_5, D_5, Z_4) → poly1, a_5, b_5, d_5, z_4
  39. Polygon(B_5, C_5, E_5, D_5) → poly2, b_1, c_5, e_5, d_2