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Integer Addition and Subtraction Demonstration

Integer Addition and Subtraction Demonstration
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2018-08-31 23:47
PolygonVectorCoordinate GeometryGeometric Construction
This example visually demonstrates the process of adding and subtracting integers using dynamic geometry. It involves core math concepts like integer operations, vectors, and polygon construction. Key GeoGebra commands and objects used include Point, Vector, If, Segment, Polygon, Sequence, OrthogonalLine, and Intersect. Suitable for middle school mathematics education to intuitively understand integer addition and subtraction 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