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Fraction Division by Ian Cantley

Fraction Division by Ian Cantley
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2017-10-15 02:34
PolygonGeometric Construction
This example demonstrates the geometric intuition of fraction division, visually showing the process and result of fraction division through dynamic graphics. Core math concepts include fraction operations, geometric transformations (like translation and dilation), and polygon construction. Construction highlights involve GeoGebra commands such as Point, Segment, Sequence, Polygon, and Mod. Suitable for middle school and above mathematics education, aiding in understanding the geometric meaning and calculation of fraction division.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Segment(C, F) → a_1
  4. Segment(E, F) → b
  5. Segment(E, B) → c
  6. Segment(B, C) → d
  7. Segment(A, G) → e
  8. Segment(G, H) → f
  9. Segment(D, H) → g
  10. Segment(A, D) → h
  11. Sequence((x(A) + (i * x(G) / bölünenpayda), y(A)), i, 1, bölünenpayda) → list1
  12. Sequence((x(D) + (i * x(H) / bölünenpayda), y(D)), i, 1, bölünenpayda) → list2
  13. Sequence((x(B) + (i * x(E) / bölenpayda), y(B)), i, 1, bölenpayda) → liste2
  14. Sequence((x(C) + (i * x(F) / bölenpayda), y(C)), i, 1, bölenpayda) → liste3
  15. Polygon(A, D, Element[list2, a], Element[list1, a]) → liste5, liste5_2, liste5_3, liste5_4, liste5_5
  16. Sequence(Segment[Element[liste2, i], Element[liste3, i]], i, 1, bölenpayda) → liste4
  17. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, bölünenpayda) → liste1
  18. Polygon(B, C, Element[liste3, bölenpay], Element[liste2, bölenpay]) → çokgen1, i, j, k, l
  19. Sequence((x(A) + (i * x(G) / m), y(A)), i, 1, m) → liste6
  20. Sequence((x(D) + (i * x(H) / m), y(D)), i, 1, m) → liste7
  21. Sequence(Segment[Element[liste6, i], Element[liste7, i]], i, 1, m) → liste8
  22. Sequence((x(B) + (i * x(E) / m), y(B)), i, 1, m) → liste9
  23. Sequence((x(C) + (i * x(F) / m), y(C)), i, 1, m) → liste10
  24. Sequence(Segment[Element[liste9, i], Element[liste10, i]], i, 1, m) → liste11
  25. Mod(m, bölenpayda) → t
  26. Mod(m, bölünenpayda) → b_1