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Partial Quotients Division with Arrays Demo

Partial Quotients Division with Arrays Demo
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2018-03-14 01:43
Probability & StatisticsGeometric Construction
This example visually demonstrates the partial quotients division method using arrays, illustrating the division process and results. Core math concepts include division, arrays, and partial quotients. It is constructed using GeoGebra commands like Intersect, Point, Segment, Line, OrthogonalLine, Polygon, PointIn, Distance, Textfield, and objects such as A, B, a, C, b, c, d_2, D, E, e, H, j, m, text3, text4, K, j_1, d, i, k, I, g, poly1, c_1, h, e_1, a_1, poly2, h_1, i_1, k_1, e_2, poly3, i_2, d_1, b_1, k_2, Pointpoly1, Pointpoly2_1, Pointpoly3. Suitable for upper elementary and middle school students to understand division algorithms and array applications.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → a
  4. Point(yAxis) → C
  5. Segment(A, C) → b
  6. Line(C, a) → c
  7. Line(B, b) → d_2
  8. Intersect(c, d_2) → D
  9. Point(a) → E
  10. Line(E, b) → e
  11. Intersect(c, e) → H
  12. Segment(C, D) → j
  13. Segment(B, E) → m
  14. Point(a) → K
  15. OrthogonalLine(K, a) → j_1
  16. Segment(B, D) → i
  17. OrthogonalLine(K, a) → k
  18. Intersect(k, j) → I
  19. Segment(E, H) → g
  20. Polygon(C, H, E, A) → poly1, c_1, h, e_1, a_1
  21. Polygon(H, I, K, E) → poly2, h_1, i_1, k_1, e_2
  22. Polygon(I, D, B, K) → poly3, i_2, d_1, b_1, k_2
  23. PointIn(poly1) → Pointpoly1
  24. PointIn(poly2) → Pointpoly2_1
  25. PointIn(poly3) → Pointpoly3
  26. Distance(A, E) → q1
  27. Distance(E, K) → q2
  28. Distance(K, B) → q3
  29. Polygon(F, G, J, L) → poly4, f_1, g_1, j_2, l_1
  30. Point(g_1) → M
  31. Polygon(N, T, U, V) → poly5, n_1, t, u, v
  32. Segment(W, Z) → s
  33. Segment(A_1, B_1) → m_1
  34. Segment(C_1, D_1) → s_1
  35. PointIn(poly2) → Pointpoly2
  36. Textfield(Dividend) → InputBox1
  37. Textfield(d) → InputBox2
  38. Segment(E_1, F_1) → t_1
  39. Segment(G_1, H_1) → f_2
  40. Segment(I_1, J_1) → g_2
  41. Textfield(quotient1) → InputBox3
  42. Textfield(remainder1) → InputBox4
  43. Textfield(quotient) → InputBox5
  44. Textfield(remainder) → InputBox6
  45. Textfield(quotient2) → InputBox7
  46. Textfield(remainder2) → InputBox8
  47. Textfield(quotient3) → InputBox9
  48. Textfield(remainder3) → InputBox10