MathPlotAI Logo MathPlotAI

Area Model of Multiplication by Sanjay Gulati

Area Model of Multiplication by Sanjay Gulati
Loading the math board and drawing, please wait…
2019-09-17 14:20
Geometric Construction
This example demonstrates how to use an area model for multiplication, visually showing the multiplication process through geometric partitioning and combination. Core math concepts include multiplication, area, geometric modeling, and natural numbers. Construction highlights involve GeoGebra commands/objects like Point, Segment, OrthogonalLine, Circle, Intersect, Line, Polygon, Sequence, Text. Suitable for elementary and above learning multiplication, area, and mathematical visualization.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(Col)]) → B
  2. Segment(A, B) → f
  3. OrthogonalLine(A, f) → g
  4. Circle(A, Col) → c
  5. OrthogonalLine(B, f) → h
  6. Circle(A, Row) → d
  7. Intersect(d, g) → C, D
  8. Line(D, f) → i
  9. Intersect(h, i) → E
  10. Polygon(A, B, E, D) → q1, a, b, e, d_1
  11. Sequence(Segment[A + (i, 0), D + (i, 0)], i, 1, Col) → l1
  12. Sequence(Segment[A + (0, i), B + (0, i)], i, 1, Row) → l2
  13. Text(Col) → T1
  14. Text("x") → T2
  15. Text(Row) → T3
  16. Text("=") → T4
  17. Text(Result) → T5