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Equivalent Fractions by Kaitlyn Mihovk

Equivalent Fractions by Kaitlyn Mihovk
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2017-08-24 00:44
FunctionSequenceGeometric Construction
This example demonstrates the concept of equivalent fractions. It involves the basic properties of fractions, showing equivalent transformations through rotation and intersection operations. Commands used include Circle, Sequence, Point, Rotate, and Intersect. Suitable for high-grade elementary or junior high school students to learn about equivalent fraction transformations.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Sequence(Rotate[A, (i * 360 / payda)°], i, 1, payda) → 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 * pay / payda)°) → A'
  13. Rotate(F, (360 * pay / payda)°, C) → F'
  14. Rotate(G, (360 * pay / payda)°, D) → G'
  15. Rotate(H, (360 * pay / payda)°, 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 * payda))°, C], i, 1, 2 * payda) → liste4
  22. Sequence(Rotate[G, (i * 360 / (3 * payda))°, D], i, 1, 3 * payda) → liste5
  23. Sequence(Rotate[H, (i * 360 / (4 * payda))°, E], i, 1, 4 * payda) → liste6
  24. Sequence(Segment[(0, 0), Element[liste1, i]], i, 1, payda) → liste3
  25. Sequence(Segment[C, Element[liste4, i]], i, 1, 2 * payda) → liste2
  26. Sequence(Segment[D, Element[liste5, i]], i, 1, 3 * payda) → liste7
  27. Sequence(Segment[E, Element[liste6, i]], i, 1, 4 * payda) → liste8