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Equivalent Fractions Circle Graphs

Equivalent Fractions Circle Graphs
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2020-03-07 00:11
CircleGeometric Construction
This example demonstrates how to represent equivalent fractions using circle graphs. It involves core math concepts like fractions, circles, and geometric partitions. Construction highlights include using GeoGebra commands such as Circle, Sequence, Point, Rotate, Intersect, and CircleSector. Suitable for middle school mathematics education to visually understand the equivalence of fractions and their geometric representation.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Sequence(Rotate[A, ((i * 360 / Partitions))°], i, 1, Partitions) → liste1
  3. Point(xAxis) → C
  4. Circle(C, 1) → g
  5. Point(xAxis) → D
  6. Circle(D, 1) → h
  7. Point(xAxis) → E
  8. Circle(E, 1) → k
  9. Point(g) → F
  10. Point(h) → G
  11. Point(k) → H
  12. Rotate(A, ((360 * Shaded_ Partitions / Partitions))°) → A'
  13. Rotate(F, ((360 * Shaded_ Partitions / Partitions))°, C) → F'
  14. Rotate(G, ((360 * Shaded_ Partitions / Partitions))°, D) → G'
  15. Rotate(H, ((360 * Shaded_ Partitions / Partitions))°, E) → H'
  16. Intersect(xAxis, yAxis) → B
  17. CircleSector(B, A, A') → d
  18. CircleSector(C, F, F') → p
  19. CircleSector(D, G, G') → q
  20. CircleSector(E, H, H') → r
  21. Sequence(Rotate[F, ((i * 360 / ((2 * Partitions))))°, C], i, 1, (2 * Partitions)) → liste4
  22. Sequence(Rotate[G, ((i * 360 / ((3 * Partitions))))°, D], i, 1, (3 * Partitions)) → liste5
  23. Sequence(Rotate[H, ((i * 360 / ((4 * Partitions))))°, E], i, 1, (4 * Partitions)) → liste6
  24. Sequence(Segment[(0, 0), Element[liste1, i]], i, 1, Partitions) → liste3
  25. Sequence(Segment[C, Element[liste4, i]], i, 1, (2 * Partitions)) → liste2
  26. Sequence(Segment[D, Element[liste5, i]], i, 1, (3 * Partitions)) → liste7
  27. Sequence(Segment[E, Element[liste6, i]], i, 1, (4 * Partitions)) → liste8