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Comparing Fractions by Pedro_Arlindo

Comparing Fractions by Pedro_Arlindo
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2019-06-18 13:08
SequenceCoordinate GeometryGeometric Construction
This applet is designed for comparing and ordering fractions. It involves fundamental concepts of fractions and visually demonstrates the relationship between the size of fractions by dynamically adjusting the numerator and denominator. Commands such as Sequence, CircleSector, Segment, Vector, and LCM are used, making it suitable for students from upper elementary to middle school to learn fraction comparison and ordering.

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

Create a visual for comparing fractions. On the left, draw a circle centered at one point, divide its circumference into equal parts according to the first denominator, draw segments from the center to each division point, and highlight a sector corresponding to the numerator. On the right, do the same with another point and the second denominator. Between the circles, draw a horizontal segment and two vectors indicating the relative sizes. Below, draw two parallel number lines, each divided according to one denominator, with vertical tick marks; then add a finer scale based on the least common multiple of the denominators for alignment.
The prompt above was compiled from the original drawing commands and is for reference only.