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Ordering Fractions by Neil

Ordering Fractions by Neil
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2015-10-10 00:11
SequenceCoordinate GeometryGeometric Construction
This example demonstrates how to order fractions. It involves the core mathematical concepts of comparing and ordering fractions. Using GeoGebra commands such as If, Sequence, FractionBar, and LCM, a series of fractions are constructed and sorted by finding the least common multiple. Suitable for high-grade elementary or junior high school students to learn about fraction concepts.

GeoGebra Commands & Parameters

  1. If(LCM[{If[p ≟ 1, f, 1], If[q ≟ 1, b, 1], k, If[n ≟ 1, i, 1], If[o ≟ 1, g, 1]}] < 200, LCM[{If[p ≟ 1, f, 1], If[q ≟ 1, b, 1], k, If[n ≟ 1, i, 1], If[o ≟ 1, g, 1]}]) → c
  2. Sequence(Polygon[{A, A + ((6 * i), 0), A + ((6 * i), 1), A + (0, 1)}], i, 1 / b, 1, 1 / b) → list2
  3. Sequence(Polygon[{A, A + ((6 * i), 0), A + ((6 * i), 1), A + (0, 1)}], i, 1 / b, a / b, 1 / b) → list1
  4. Sequence(Polygon[{A, A + ((6 * i), 0), A + ((6 * i), 1), A + (0, 1)}], i, 1 / c, 1, 1 / c) → list3
  5. FractionBar(e, f, c, B) → list4, list5, list6, text3, text4
  6. FractionBar(h, g, c, C) → list7, list8, list9, text5, text6
  7. FractionBar(j, i, c, D) → list10, list11, list12, text7, text8
  8. FractionBar(l, k, c, E) → list13, list14, list15, text9, text10
  9. LCM({If[p ≟ 1, f, 1], If[q ≟ 1, b, 1], k, If[n ≟ 1, i, 1], If[o ≟ 1, g, 1]}) → r