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Comparing Fractions by Rami Tulp

Comparing Fractions by Rami Tulp
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2020-08-04 05:49
SequenceProbability & Statistics
This example demonstrates how to compare the sizes of fractions. Key mathematical concepts include fractions, ratios, and percentages. Using GeoGebra commands such as Sequence and LCM, the comparison process is dynamically illustrated. Suitable for high-grade elementary and junior high 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