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Directed Number Addition Demo by Henry Ha

Directed Number Addition Demo by Henry Ha
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2018-08-04 17:38
VectorCoordinate GeometryGeometric Construction
This example demonstrates the addition of directed numbers using dynamic geometry. It involves core concepts like directed numbers, number lines, and vector addition. Constructed with GeoGebra commands such as Point and Semicircle, it visualizes the process and is suitable for middle school students and beyond for learning vector operations and number line applications in mathematics education.

GeoGebra Commands & Parameters

  1. Point(xAxis) → C
  2. Point(xAxis) → P3
  3. Point(xAxis) → P4
  4. Point(xAxis) → P5
  5. Point(xAxis) → P6
  6. Point(xAxis) → J
  7. Point(xAxis) → P0
  8. Point(xAxis) → P1
  9. Point(xAxis) → P7
  10. Semicircle(P0, P1) → c
  11. Semicircle(P1, P2) → d
  12. Semicircle(P2, P3) → e
  13. Semicircle(P3, P4) → f
  14. Semicircle(P4, P5) → g
  15. Semicircle(P5, P6) → h
  16. Semicircle(P6, P7) → k
  17. Semicircle(Translate[P0, (a, 0)], Translate[P1, (a, 0)]) → p
  18. Semicircle(Translate[P1, (a, 0)], Translate[P2, (a, 0)]) → q
  19. Semicircle(Translate[P2, (a, 0)], Translate[P3, (a, 0)]) → r
  20. Semicircle(Translate[P3, (a, 0)], Translate[P4, (a, 0)]) → s
  21. Semicircle(Translate[P4, (a, 0)], Translate[P5, (a, 0)]) → t
  22. Semicircle(Translate[P5, (a, 0)], Translate[P6, (a, 0)]) → c_1
  23. Point(xAxis) → N1
  24. Point(xAxis) → N2
  25. Point(xAxis) → N3
  26. Point(xAxis) → N4
  27. Point(xAxis) → N5
  28. Point(xAxis) → N6
  29. Point(xAxis) → N7
  30. Semicircle(P0, N1) → d_1
  31. Semicircle(N1, N2) → e_1
  32. Semicircle(N2, N3) → f_1
  33. Semicircle(N4, N5) → g_1
  34. Semicircle(N3, N4) → h_1
  35. Semicircle(N5, N6) → k_1
  36. Semicircle(Translate[P0, (a, 0)], Translate[N1, (a, 0)]) → p_1
  37. Semicircle(Translate[N1, (a, 0)], Translate[N2, (a, 0)]) → q_1
  38. Semicircle(Translate[N2, (a, 0)], Translate[N3, (a, 0)]) → r_1
  39. Semicircle(Translate[N3, (a, 0)], Translate[N4, (a, 0)]) → s_1
  40. Semicircle(Translate[N4, (a, 0)], Translate[N5, (a, 0)]) → t_1
  41. Semicircle(Translate[N5, (a, 0)], Translate[N6, (a, 0)]) → c_2

AI Drawing Prompt Reference

Draw a number line with 7 points C, P3, P4, P5, P6, J, and P0, and draw semicircles with these points as centers. Then, translate P0 and P1, P1 and P2, P2 and P3, P3 and P4, P4 and P5, P5 and P6, and P6 and P7 to the right by a units, and draw semicircles with these new points as centers. Next, draw 7 more points N1, N2, N3, N4, N5, N6, and N7 on the number line, and draw semicircles with these points as centers. Translate P0 and N1, N1 and N2, N2 and N3, N3 and N4, N4 and N5, N5 and N6, and N6 and N7 to the right by a units, and draw semicircles with these new points as centers.
The prompt above was compiled from the original drawing commands and is for reference only.