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Fraction Bars Comparison

Fraction Bars Comparison
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2016-06-02 21:44
Geometric Construction
This example demonstrates how to use fraction bars for visual comparison of two fractions. It involves core math concepts like fraction comparison, geometric representation, and number line concepts. Construction highlights include the use of GeoGebra commands Polygon, Sequence, and If. Suitable for elementary and above, aiding in teaching and visualizing fraction sizes.

GeoGebra Commands & Parameters

  1. Polygon((1 - a, 0), (2 - a, 0), 4) → poly1
  2. Polygon((-1 + a, 0), (a, 0), 4) → poly2
  3. Polygon((a - 1 + offset / divisionsL, 0), (a - 1 + offset / divisionsL + shadedL / divisionsL, 0), (a - 1 + offset / divisionsL + shadedL / divisionsL, 1), (a - 1 + offset / divisionsL, 1)) → poly3, f, g, h, i
  4. Sequence(Segment[(1 - a + i / divisionsR, 0), (1 - a + i / divisionsR, 1)], i, 1, divisionsR - 1) → list1
  5. Sequence(Segment[(a - 1 + i / divisionsL, 0), (a - 1 + i / divisionsL, 1)], i, 1, divisionsL - 1) → list2
  6. Polygon((1 - a + offsetR / divisionsR, 0), (1 - a + offsetR / divisionsR + shadedR / divisionsR, 0), (1 - a + offsetR / divisionsR + shadedR / divisionsR, 1), (1 - a + offsetR / divisionsR, 1)) → poly4, j, k, l, m
  7. If(poly3 ≟ poly4, "Same", If[poly3 > poly4, "Bigger", "Smaller"]) → text1
  8. If(poly3 ≟ poly4, "Same", If[poly3 > poly4, "Smaller", "Bigger"]) → text2