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Multiplication Array by brownh

Multiplication Array by brownh
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2015-02-27 01:05
PolygonFunctionCoordinate Geometry
This example demonstrates the partial products of multiplication through geometric shapes. Key mathematical concepts include multiplication and area. Using GeoGebra commands such as Intersect, Point, Segment, etc., the partial products can be dynamically explored. Suitable for upper elementary and middle school students to learn multiplication and area calculation.

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
  8. Intersect(c, d) → D
  9. Point(b) → F
  10. Line(F, a) → f
  11. Point(a) → E
  12. Line(E, b) → e
  13. Intersect(f, e) → G
  14. Intersect(c, e) → H
  15. Intersect(d, f) → I
  16. Polygon(C, H, G, F) → poly1, c_1, h, g, f_1
  17. Polygon(G, H, D, I) → poly2, g_1, h_1, d_1, i
  18. Polygon(G, I, B, E) → poly3, g_2, i_1, b_1, e_1
  19. Polygon(G, E, A, F) → poly4, g_3, e_2, a_1, f_2
  20. Segment(C, D) → j
  21. Segment(I, B) → k
  22. Segment(D, I) → l
  23. Segment(B, E) → m
  24. Segment(E, A) → n
  25. Segment(A, F) → p
  26. Segment(F, C) → q
  27. Segment(F, G) → r
  28. Segment(G, I) → s
  29. Intersect(c_1, h) → J
  30. Segment(E, J) → t
  31. Distance(H, D) → distanceHD
  32. Distance(C, H) → distanceCH
  33. Distance(C, F) → distanceCF
  34. Distance(F, A) → distanceFA
  35. Distance(D, B) → distanceDB

AI Drawing Prompt Reference

Draw a multiplication array using geometric shapes to demonstrate partial products. Start by drawing points A and B on the coordinate axes, then draw line segments a and b through these points. Next, draw lines c and d that intersect segments a and b at points D and F. Use these points to draw four polygons poly1, poly2, poly3, and poly4. Finally, draw line segments j, k, l, m, n, p, q, r, s, and t, and calculate the distances of each side.
The prompt above was compiled from the original drawing commands and is for reference only.