MathPlotAI Logo MathPlotAI

Multiplication Array by Mary Comer

Multiplication Array by Mary Comer
Loading the math board and drawing, please wait…
2015-01-11 06:54
TrianglePolygonCoordinate GeometryGeometric Construction
This example demonstrates the concept of a multiplication array, using geometric shapes to illustrate the patterns of multiplication. Key mathematical concepts include multiplication and geometric construction. It utilizes commands such as Intersect, Point, Segment, OrthogonalLine, Polygon, Midpoint, and Distance in GeoGebra for construction. Suitable for high-grade elementary and junior high school students to learn multiplication and geometry.

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