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Comparing Fractions by Patricia Lye

Comparing Fractions by Patricia Lye
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2021-05-16 09:56
VectorFunctionGeometric Construction
This GeoGebra applet is designed for comparing and ordering fractions. It involves fundamental concepts such as numerators and denominators. Using commands like Sequence, CircleSector, Segment, and Vector, users can visually understand the size relationships between fractions. Suitable for upper elementary and middle school students.

GeoGebra Commands & Parameters

  1. Sequence((sqrt(2) * cos(i * 360 * ° / den1) + x(B), sqrt(2) * sin(i * 360 * ° / den1) + y(B)), i, 1, den1) → leftpts
  2. Sequence((sqrt(2) * cos(i * 360 * ° / den2) + x(A), sqrt(2) * sin(i * 360 * ° / den2) + y(A)), i, 1, den2) → rightpts
  3. Sequence(Segment[B, Element[leftpts, i]], i, 1, den1) → segleft
  4. Sequence(Segment[A, Element[rightpts, i]], i, 1, den2) → segright
  5. CircleSector(B, Element[leftpts, den1], Element[leftpts, num1]) → e
  6. CircleSector(A, Element[rightpts, den2], Element[rightpts, num2]) → f
  7. Segment(D, C) → a
  8. Vector(F, E) → u
  9. Vector(G, H) → v
  10. Sequence((-5 + i * 10 / den1, 0), i, 0, den1) → list1
  11. Sequence((-5 + i * 10 / den1, 1.3), i, 0, den1) → list2
  12. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, den1 + 1) → list3
  13. Sequence((-5 + i * 10 / den2, 0), i, 0, den2) → list4
  14. Sequence((-5 + i * 10 / den2, -1.3), i, 0, den2) → list5
  15. Sequence(Segment[Element[list4, i], Element[list5, i]], i, 0, den2 + 1) → list6
  16. LCM(den1, den2) → b
  17. Sequence((-5 + i * 10 / b, 0), i, 0, b) → list7

AI Drawing Prompt Reference

Draw a geometric diagram to compare the sizes of two fractions. First, use vectors to draw sectors on both sides representing the two fractions, with the size of each sector proportional to its fraction value. Then, draw two parallel line segments below, using vectors to represent the difference between the two fractions. Finally, connect the sectors to the line segments to form a complete diagram, showing the relationship of fraction sizes.
The prompt above was compiled from the original drawing commands and is for reference only.