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Ordering Fractions by Auston B Cron

Ordering Fractions by Auston B Cron
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2015-10-11 11:41
SequenceCoordinate Geometry
In collections Jessica's Fraction Book
This example demonstrates how to sort fractions by comparing their sizes. Key mathematical concepts include fractions, logic, and coordinates. Using GeoGebra commands such as If, Sequence, and FractionBar, a dynamic model for fraction sorting is constructed. Suitable for upper elementary and middle school students.

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