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Equivalent Fractions by lookang

Equivalent Fractions by lookang
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2017-05-03 09:52
CircleSequenceGeometric Construction
This example demonstrates the concept of equivalent fractions. It involves the basic properties of fractions, and through commands and objects like Random, GCD, Point, Segment, etc., it shows how to generate equivalent fractions by changing the denominator and numerator. Suitable for high-grade elementary or junior high school students.

GeoGebra Commands & Parameters

  1. Random(2, 12) → denom_1
  2. Random(1, denom_1 - 1) → numer_1
  3. GCD(numer_1, denom_1) → t
  4. Point(xAxis) → B
  5. Segment(B, A) → a
  6. Point(a) → C
  7. Circle(C, 4) → d
  8. Sequence(m, m, 1, denom - 1, 1) → list3
  9. Sequence(Segment[C, C + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / denom) → list2
  10. Sector(d, 0, ((numer * 360) * ° / denom)) → e
  11. Random(2, ceil(24 / denom)) → mult
  12. Sequence(Segment[A, A + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / denom_2) → list1
  13. Textfield(numer_2) → inputBox1
  14. Textfield(denom_2) → inputBox2
  15. Translate(d, Vector[B, (f, 0)]) → d'_1
  16. Vector(B, (f, 0)) → u
  17. Translate(e, u) → e'
  18. Translate(list2, u) → list2'