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Multiplication Array Model

Multiplication Array Model
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2014-10-30 01:27
FunctionGeometric ConstructionGraphing
In collections Grade 4
This example demonstrates two-digit multiplication using a multiplication array. It involves core math concepts like multiplication, array models, and decimal place value. GeoGebra commands and objects used include Intersect, Point, Segment, OrthogonalLine, Polygon, Midpoint, and Distance. Suitable for upper elementary or lower middle school students to visualize multiplication and understand place value decomposition.

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

AI Drawing Prompt Reference

Draw a multiplication array model for two-digit multiplication. Start by marking the origin O on the coordinate axes, and then draw point B on the x-axis and point C on the y-axis. Draw a line c perpendicular to the x-axis through point C and a line d perpendicular to the y-axis through point B, and find their intersection points F, G, H, and I. Then, connect C, F, I, E; F, G, H, I; I, H, B, D; and E, I, D, A to form four rectangles. Next, draw line segments connecting C, G; G, B; B, A; and C, E, and line segments E, H; and F, D. Finally, mark the midpoints J, K, L, and M of segments C, E; E, A; C, F; and F, G, and measure the distances between F and G (distanceFG), C and F (distanceCF), C and E (distanceCE), and E and A (distanceEA).
The prompt above was compiled from the original drawing commands and is for reference only.