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Fraction Addition with Fraction Circles

Fraction Addition with Fraction Circles
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2018-05-25 02:08
CircleGeometric Construction
This example demonstrates the geometric interpretation of fraction addition using fraction circles. It involves core math concepts like fractions, addition operations, and geometric visualization. Construction highlights include GeoGebra commands such as Random, Circle, Sequence, Sector, Textfield, Segment, If, and Vector. Suitable for elementary and higher education for intuitive teaching and understanding of fraction addition.

GeoGebra Commands & Parameters

  1. Random(2, 10) → D1
  2. Random(2, 10) → D2
  3. Random(1, D1 - 1) → N1
  4. Random(1, D2 - 1) → N2
  5. Circle((5, 5), 1.5) → C1
  6. Sequence(Rotate[B, (360° * i / D1), (5, 5)], i, 1, D1) → list1
  7. Sequence(Segment[A, Element[list1, i]], i, 1, D1) → list2
  8. Sector(C1, B, Element[list1, N1]) → c_1
  9. Circle((9, 5), 1.5) → C2
  10. Sequence(Rotate[D, (360° * i / D2), (9, 5)], i, 1, D2) → list3
  11. Sequence(Segment[C, Element[list3, i]], i, 1, D2) → list4
  12. Sector(C2, C, Element[list3, N2]) → d_1
  13. Circle((5, 1), 1.5) → C3
  14. Circle((9, 1), 1.5) → C4
  15. Sequence(Rotate[F, (360° * i / a), E], i, 1, a) → list5
  16. Sequence(Segment[E, Element[list5, i]], i, 1, a) → list6
  17. Sector(C3, E, Element[list5, b]) → e
  18. Circle((5, 1), 1.5) → C5
  19. Sequence((LCM[D1, D2] * i), i, 1, 5) → Possible
  20. Sequence(Rotate[H, (360° * i / d), G], i, 1, d) → list7
  21. Sequence(Segment[G, Element[list7, i]], i, 1, d) → list8
  22. Sector(C4, G, Element[list7, c]) → g
  23. Circle(G, 1.5) → C6
  24. Textfield(ans5) → inputBox5
  25. Segment(M, N) → j
  26. If(ans6 ∈ Possible, true, false) → S
  27. Textfield(ans1) → inputBox1
  28. Vector(O, P) → u