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Equivalent Fractions by Marjorie Brillante (3)

Equivalent Fractions by Marjorie Brillante (3)
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2020-07-22 09:39
SequenceTransformationGeometric Construction
This example demonstrates the concept of equivalent fractions. It involves similarity transformations and geometric transformations of line segments. Using commands like rotation, intersection, and circle sector, it shows how to generate equivalent fractions through transformations. Suitable for high-grade elementary and junior high school students to learn about the equivalence of fractions.

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