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Multiplicative Commutativity Demo

Multiplicative Commutativity Demo
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2017-05-16 17:27
SequenceCoordinate GeometryGeometric Construction
In collections Concrete-Pictorial-Abstract and the Teaching for Mastery
This example demonstrates the geometric interpretation of the commutative property of multiplication through dynamic visuals. It involves core math concepts like the commutative property, coordinate geometry, and sequences. The construction utilizes GeoGebra commands such as Sequence and objects like a, b, c, list1-list25, text1-text4, ab, d to generate and display related graphics and data. Suitable for high school mathematics education to help students intuitively understand abstract algebraic theorems.

GeoGebra Commands & Parameters

  1. Sequence((1, i), i, 1, a, 1) → list2
  2. Sequence((2, i), i, 1, a, 1) → list3
  3. Sequence((3, i), i, 1, a, 1) → list1
  4. Sequence((4, i), i, 1, a, 1) → list4
  5. Sequence((5, i), i, 1, a, 1) → list5
  6. Sequence((6, i), i, 1, a, 1) → list6
  7. Sequence((7, i), i, 1, a, 1) → list7
  8. Sequence((7, i), i, 1, a, 1) → list8
  9. Sequence((8, i), i, 1, a, 1) → list9
  10. Sequence((9, i), i, 1, a, 1) → list10
  11. Sequence((10, i), i, 1, a, 1) → list11
  12. Sequence((11, i), i, 1, a, 1) → list12
  13. Sequence((12, i), i, 1, a, 1) → list13
  14. Sequence((i, 2), i, 1, b, 1) → list15
  15. Sequence((i, 3), i, 1, b, 1) → list16
  16. Sequence((i, 4), i, 1, b, 1) → list18
  17. Sequence((i, 5), i, 1, b, 1) → list17
  18. Sequence((i, 6), i, 1, b, 1) → list19
  19. Sequence((i, 7), i, 1, b, 1) → list20
  20. Sequence((i, 1), i, 1, b, 1) → list21
  21. Sequence((i, 8), i, 1, b, 1) → list22
  22. Sequence((i, 9), i, 1, b, 1) → list23
  23. Sequence((i, 10), i, 1, b, 1) → list14
  24. Sequence((i, 11), i, 1, b, 1) → list24
  25. Sequence((i, 12), i, 1, b, 1) → list25