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Equivalent Fractions by mathspace

Equivalent Fractions by mathspace
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2016-02-28 18:57
FunctionSequenceGeometric Construction
This example demonstrates the concept of equivalent fractions. By constructing the geometric representation of fractions, students can visually understand the concept of equivalent fractions. It uses commands like GCD, Point, Segment, etc., suitable for high-grade elementary and junior high school students to learn basic fraction concepts.

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, {1, 2, 3, 4, 5, 6, 7, 8, 9}
  9. Sequence(Segment[C, C + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / denom) → list2, {4, 4.000000000000001, 3.9999999999999996, 4, 4, 4, 3.9999999999999996, 3.9999999999999996, 4, 4.000000000000001, 4}
  10. Sector(d, 0, ((numer * 360) * ° / denom)) → e
  11. Random(2, ceil(24 / denom)) → mult
  12. Translate(d, Vector[B, (f, 0)]) → d'_1
  13. Vector(B, (f, 0)) → u
  14. Translate(e, u) → e'
  15. Translate(list2, u) → list2'
  16. Sequence(Segment[A, A + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / ((g * denom))) → list1, {4, 4.000000000000001, 3.9999999999999996, 4, 4.000000000000001, 4, 3.9999999999999996, 3.9999999999999996, 4, 4.000000000000001, 4}
  17. Sector(c, 0, (((g * numer) * 360) * ° / ((g * denom)))) → e_1