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Equivalent Fractions by Marjorie Brillante

Equivalent Fractions by Marjorie Brillante
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2020-07-23 10:29
Angle
This example demonstrates the concept of equivalent fractions through rotation and intersection operations, showing the equivalence of fractions. Key mathematical concepts include fractions, angles, and transformations. It uses commands like Circle, Sequence, Point, Rotate, and Intersect in GeoGebra. Suitable for upper elementary and middle school students to learn basic fraction concepts and geometric constructions.

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

AI Drawing Prompt Reference

Draw a circle and rotate it multiple times around the center, each rotation by an angle of 360 degrees divided by the denominator of a fraction, marking the endpoint of each rotation. Mark three points on the diameter of the circle and draw three identical circles centered at these points. Connect the endpoint of the first rotation to the intersection points of these circles, then rotate these line segments to demonstrate the equivalence of fractions. Finally, fill the rotated areas with sectors to visually show the equivalence of fractions.
The prompt above was compiled from the original drawing commands and is for reference only.