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Visualizing Equivalent Fractions

Visualizing Equivalent Fractions
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2020-04-02 02:25
Geometric ConstructionSlider Animation
This example demonstrates the concept of equivalent fractions through dynamic visualizations. It involves core mathematical concepts like fractions, geometric representations, and greatest common divisor. Constructed using commands like Random, GCD, Point, Segment, Circle, Sequence, Sector, Textfield, Translate, and Vector. Suitable for middle school and above, helping students intuitively grasp the properties of equivalent fractions.

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'