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Multiplication Array

Multiplication Array
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2016-10-19 23:39
Coordinate GeometryGeometric Construction
This example demonstrates the geometric representation of multiplication operations through dynamic arrays. Key math concepts include multiplication, median line, translation, arithmetic operations, root, difference, and slope. Construction highlights involve GeoGebra commands like Intersect, Point, Segment, OrthogonalLine, Polygon, Midpoint, and Distance, with objects such as A, B, a, C, b, c, d, D, e, E, f, F, G, H, I, poly1, c_1, f_1, i, e_1, poly2, f_2, g, h, i_1, poly3, i_2, h_1, b_1, d_1, poly4, e_2, i_3, d_2, a_1, j, k, l, m, n. Suitable for middle school students and above to explore the geometric meaning of multiplication and dynamic geometry software 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. OrthogonalLine(C, b) → c
  7. OrthogonalLine(B, a) → d
  8. Point(a) → D
  9. OrthogonalLine(D, a) → e
  10. Point(b) → E
  11. OrthogonalLine(E, b) → f
  12. Intersect(c, e) → F
  13. Intersect(c, d) → G
  14. Intersect(d, f) → H
  15. Intersect(e, f) → I
  16. Polygon(C, F, I, E) → poly1, c_1, f_1, i, e_1
  17. Polygon(F, G, H, I) → poly2, f_2, g, h, i_1
  18. Polygon(I, H, B, D) → poly3, i_2, h_1, b_1, d_1
  19. Polygon(E, I, D, A) → poly4, e_2, i_3, d_2, a_1
  20. Segment(C, G) → j
  21. Segment(G, B) → k
  22. Segment(B, A) → l
  23. Segment(A, C) → m
  24. Segment(E, H) → n
  25. Segment(F, D) → p
  26. Midpoint(C, E) → J
  27. Midpoint(E, A) → K
  28. Midpoint(C, F) → L
  29. Midpoint(F, G) → M
  30. Distance(F, G) → distanceFG
  31. Distance(C, F) → distanceCF
  32. Distance(C, E) → distanceCE
  33. Distance(E, A) → distanceEA