MathPlotAI Logo MathPlotAI

Area Model for ax × bx

Area Model for ax × bx
Loading the math board and drawing, please wait…
2013-07-09 13:16
VectorCoordinate GeometryProbability & Statistics
This example demonstrates the area model for [math]ax imes bx[/math]. Key mathematical concepts include multiplication and geometry. Using GeoGebra commands such as Sequence, Polygon, Vector, and Midpoint, a dynamic geometric figure is constructed to illustrate the geometric meaning of variable multiplication. Suitable for middle school and above students to learn multiplication and geometry concepts.

GeoGebra Commands & Parameters

  1. Sequence((i * xsize, 0), i, 1, noofx2 - 1) → list1
  2. Sequence((i * xsize, y(B)), i, 1, noofx2 - 1) → list2
  3. Sequence((0, xsize * i), i, 1, noofx - 1) → list3
  4. Sequence((x(C), xsize * i), i, 1, noofx - 1) → list4
  5. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, noofx2 - 1) → list5
  6. Sequence(Segment[Element[list3, i], Element[list4, i]], i, 1, noofx - 1) → list6
  7. Polygon(A, B, D, C) → poly1, b, c, d, e
  8. Vector(E, F) → u
  9. Vector(F, E) → v
  10. Midpoint(E, F) → G
  11. Vector(H, I) → w
  12. Vector(I, H) → z
  13. Midpoint(I, H) → J
  14. Polygon(K, L, M, N) → poly2, k, l, m, n