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Multiplication Tables

Multiplication Tables
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2016-05-28 18:29
PolygonCoordinate GeometryGeometric Construction
In collections Lesson Starters
This example demonstrates the geometric representation of multiplication tables. It involves key mathematical concepts such as geometric construction and coordinate geometry. Using GeoGebra commands like Random, Point, Polygon, Segment, etc., it dynamically displays the geometric figures of multiplication tables. Suitable for high-grade elementary and junior high school students to learn geometry and sequences.

GeoGebra Commands & Parameters

  1. Random(5, 7) → n2
  2. Random(8, 9) → n3
  3. Random(10, 12) → n4
  4. Random(7, 9) → n5
  5. Random(2, 4) → n6
  6. Random(10, 12) → n7
  7. Random(5, 7) → n8
  8. Random(2, 4) → n1
  9. Point(Circle[A, 1]) → B
  10. Polygon(A, B, C, D) → poly1, a_1, b_1, c, d
  11. Point(Circle[A_1, 1]) → B_1
  12. Polygon(A_1, B_1, C_1, D_1) → poly1_1, a_2, b_2, c_1, d_1
  13. Point(Circle[A_2, 1]) → B_2
  14. Polygon(A_2, B_2, C_2, D_2) → poly1_2, a_3, b_3, c_2, d_2
  15. Point(Circle[A_4, 1]) → B_4
  16. Point(Circle[A_3, 1]) → B_3
  17. Polygon(A_3, B_3, C_3, D_3) → poly1_3, a_4, b_4, c_3, d_3
  18. Point(Circle[A_6, 1]) → B_6
  19. Point(Circle[A_5, 1]) → B_5
  20. Polygon(A_5, B_5, C_4, D_4) → poly1_4, a_5, b_5, c_4, d_4
  21. Point(Circle[A_8, 1]) → B_8
  22. Point(Circle[A_7, 1]) → B_7
  23. Point(d_3) → E
  24. Segment(E, F) → f
  25. Point(d_3) → G
  26. Segment(G, H) → g
  27. Point(d_3) → I
  28. Segment(I, J) → h
  29. Point(d_3) → K
  30. Segment(K, L) → i

AI Drawing Prompt Reference

Draw a geometric representation of a multiplication table with four points A, A1, A2, and A4. Around each point, draw a unit circle and randomly select a point B, B1, B2, and B4 on each circle. Then, use these points to draw four quadrilaterals with random side lengths. Next, randomly select a point on each quadrilateral's edge and draw four line segments connecting these points to form a grid-like structure.
The prompt above was compiled from the original drawing commands and is for reference only.