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Visualizing Multiplication

Visualizing Multiplication
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2019-05-23 14:57
CirclePolygonSequenceGeometric ConstructionSlider Animation
In collections Learn GeoGebra Classic
This example dynamically demonstrates the geometric meaning of multiplication, connecting abstract operations with visual elements. It involves core math concepts like circles, polygons, sequences, and geometric constructions. Key GeoGebra commands and objects used include Point, Segment, OrthogonalLine, Circle, Intersect, Line, Polygon, and Sequence. Suitable for high school mathematics teaching to help students understand the geometric representation of multiplication and transformations.

GeoGebra Commands & Parameters

  1. Point(Circle[A, Columns]) → B
  2. Segment(A, B) → a
  3. OrthogonalLine(A, a) → b
  4. OrthogonalLine(B, a) → c
  5. Circle(A, Rows) → d
  6. Intersect(d, b, 2) → C
  7. Line(C, a) → e
  8. Intersect(c, e) → D
  9. Polygon(A, B, D, C) → Vieleck1, a_1, b_1, d_1, c_1
  10. Sequence(Segment[A + (i * (1, 0)), C + (i * (1, 0))], i, 1, Columns) → Liste1
  11. Sequence(Segment[A + (i * (0, 1)), B + (i * (0, 1))], i, 1, Rows) → Liste2