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Breaking Apart Multiplication Array Model

Breaking Apart Multiplication Array Model
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2015-01-14 10:33
Geometric Construction
This example demonstrates how to break down a multiplication array model into smaller parts, visually illustrating the decomposition process of multiplication. Core mathematical concepts include multiplication decomposition, array models, and fraction operations. It utilizes GeoGebra commands/objects like Intersect, Point, Segment, Line, Ray, Polygon, and Distance. Suitable for elementary and above mathematics learners to understand the relationship between multiplication operations and geometric models.

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. Point(b) → D
  7. Segment(A, D) → c
  8. Line(D, a) → d
  9. Line(B, c) → e
  10. Intersect(d, e) → E
  11. Segment(D, E) → f
  12. Segment(E, B) → g
  13. Point(a) → F
  14. Line(F, c) → h
  15. Ray(A, B) → i
  16. Point(i) → G
  17. Segment(B, G) → j
  18. Line(G, g) → k
  19. Intersect(d, h) → H
  20. Polygon(H, F, B, E) → poly1, h_1, f_1, b_1, e_1
  21. Point(j) → I
  22. Line(I, g) → l
  23. Intersect(d, l) → J
  24. Polygon(B, I, J, E) → poly2, b_2, i_1, j_1, e_2
  25. Intersect(d, k) → K
  26. Polygon(I, G, K, J) → poly3, i_2, g_1, k_1, j_2
  27. Polygon(A, F, H, D) → poly4, a_1, f_2, h_2, d_1
  28. Segment(D, A) → m
  29. Segment(G, A) → n
  30. Segment(G, K) → p
  31. Segment(K, D) → q
  32. Segment(H, F) → r
  33. Segment(E, B) → s
  34. Segment(J, I) → t
  35. Distance(A, D) → distanceAD
  36. Distance(D, H) → distanceDH
  37. Distance(H, E) → distanceHE
  38. Distance(E, J) → distanceEJ
  39. Distance(J, K) → distanceJK

AI Drawing Prompt Reference

Draw a rectangle, split it along the diagonal into two triangles, then from one vertex of the triangle, draw a line segment to another point on the diagonal, dividing the rectangle into three parts, and label the areas and lengths of each part.
The prompt above was compiled from the original drawing commands and is for reference only.