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Adding Fractions with Fraction Circles

Adding Fractions with Fraction Circles
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2018-05-30 23:45
CircleSequenceGeometric Construction
This example uses fraction circles to demonstrate fraction addition. Key mathematical concepts include fraction addition and geometric construction. Commands used include Random, Circle, Sequence, Sector, Textfield, Segment, If, and Vector. Suitable for upper elementary or middle school students learning 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