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Fraction Division Demonstration by Tolga KABACA

Fraction Division Demonstration by Tolga KABACA
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2016-10-06 18:15
FunctionTrigonometryCoordinate GeometryGeometric Construction
In collections Fraction Book Fraction Book
This example dynamically demonstrates the geometric meaning of fraction division, intuitively showing the inverse relationship between fraction division and multiplication, and the resulting value. It involves core math concepts like fraction operations, division properties, and geometric model construction. GeoGebra commands and objects used include Point, Segment, Sequence, Polygon, Mod. Suitable for middle school and above mathematics education, helping students understand abstract fraction division operations and enhancing geometric intuition.

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