Equivalent Fractions by Jennifer Gomulka

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2017-05-31 21:53

This example dynamically demonstrates the relationship between fractions and pie charts, visually showcasing the geometric meaning of equivalent fractions. Core math concepts include fraction representation, geometric shape division, and proportional relationships. Construction highlights the use of GeoGebra commands like Polygon, If, orientation, frameSizeV/H, FramePt, numerator/denominator, and subdivisions. Suitable for middle school mathematics teaching to help students understand the basic properties of fractions and methods for determining equivalent fractions.

GeoGebra Commands & Parameters

Polygon(FramePt, FramePt + (frameSizeH, 0), FramePt + (frameSizeH, frameSizeV), FramePt + (0, frameSizeV)) → Frame, d_1, a, b, c
If(orientation ≟ 1, Polygon[FramePt, FramePt + (frameSizeH, 0), FramePt + (frameSizeH, (numerator * frameSizeV / denominator)), FramePt + (0, (numerator * frameSizeV / denominator))], Polygon[FramePt, FramePt + ((numerator * frameSizeH / denominator), 0), FramePt + ((numerator * frameSizeH / denominator), frameSizeV), FramePt + (0, frameSizeV)]) → shadePoly
If(orientation ≟ 1, Sequence[Segment[FramePt + (0, i), FramePt + (frameSizeH, i)], i, 0, frameSizeV, frameSizeV / denominator], Sequence[Segment[FramePt + (i, 0), FramePt + (i, frameSizeV)], i, 0, frameSizeH, frameSizeH / denominator]) → div
If(orientation ≟ 2, Sequence[Segment[FramePt + (0, i), FramePt + (frameSizeH, i)], i, 0, frameSizeV, frameSizeV / subdivisions], Sequence[Segment[FramePt + (i, 0), FramePt + (i, frameSizeV)], i, 0, frameSizeH, frameSizeH / subdivisions]) → subdivDiv