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Fraction Addition and Subtraction Demo by Auston B Cron

Fraction Addition and Subtraction Demo by Auston B Cron
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2018-01-25 12:43
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the process of fraction addition and subtraction using dynamic geometry. It involves core math concepts like fraction operations, least common multiple (LCM), and geometric constructions (rectangles, circles). Key GeoGebra commands used include Segment, LCM, Sequence, Circle, If, Textfield, with objects like r, A, c, B, C, D, E, F. Suitable for middle school students and above for learning fraction operations and geometric intuition, or for math teaching demonstrations.

GeoGebra Commands & Parameters

  1. Segment(E, E + (r, 0)) → r_E
  2. Segment(A, A + (r, 0)) → r_A
  3. Segment(C, C + (r, 0)) → r_C
  4. LCM(d_A, d_C) → LCM_E
  5. Sequence(Rotate[r_E, (360° * k / LCM_E), E], k, 1, LCM_E) → rList_E
  6. Circle(C, r_C) → circle_C
  7. Circle(A, r_A) → circle_A
  8. Sequence(Rotate[A + (r, 0), ((k * 2) * π / d_A), A], k, 0, d_A) → ptList_A
  9. Sequence(Rotate[r_A, (360° * k / d_A), A], k, 1, d_A) → rList_A
  10. Sequence(Sector[circle_A, Element[ptList_A, k], Element[ptList_A, k + 1]], k, 1, n_A) → secList_A
  11. Sequence(Rotate[C + (r, 0), ((k * 2) * π / d_C), C], k, 0, d_C) → ptList_C
  12. Sequence(Sector[circle_C, Element[ptList_C, k], Element[ptList_C, k + 1]], k, 1, n_C) → secList_C
  13. Sequence(Rotate[r_C, (360° * k / d_C), C], k, 1, d_C) → rList_C
  14. Circle(E, r_E) → circle_E
  15. Sequence(Rotate[E + (r, 0), ((k * 2) * π / LCM_E), E], k, 0, LCM_E) → ptList_E
  16. Sequence(Sector[circle_E, Element[ptList_E, k], Element[ptList_E, k + 1]], k, 1, n_E) → secList_E
  17. Circle(F, r_E) → circle_F
  18. Sequence(Rotate[F + (r, 0), ((k * 2) * π / LCM_E), F], k, 0, LCM_E) → ptList_F
  19. If(n_E > LCM_E, n_E - LCM_E, 0) → w
  20. Sequence(Sector[circle_F, Element[ptList_F, k], Element[ptList_F, k + 1]], k, 1, w) → secList_F
  21. Segment(F, F + (r, 0)) → r_F
  22. Sequence(Rotate[r_F, (360° * k / LCM_E), F], k, 1, LCM_E) → rList_F
  23. Textfield(test_d) → InputBox1
  24. Textfield(test_n) → InputBox2
  25. Textfield(max) → InputBox3
  26. If(f_A ≤ f_C, 0, 1) → sw
  27. Sequence(Sector[circle_E, Element[ptList_E, k], Element[ptList_E, k + 1]], k, 1, n_{Esub}) → secList_{Esub}