Decimal Fractions and Percentages

Decimal Fractions and Percentages
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2017-02-24 10:17
This example demonstrates the conversion between decimals, fractions, and percentages. Key mathematical concepts include fractions, percentages, and their interconversions. Using commands like Sequence, If, and Polygon, it dynamically illustrates these concepts. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. sMinMax(up, -0.2, 0.2) → red2move
  2. Sequence(Polygon[(n, 0), (n, -1), (n + 1, -1), (n + 1, 0)], n, 1, denominator) → green1
  3. Sequence(Polygon[(n, -2 - up), (n, -3 - up), (n + slice, -3 - up), (n + slice, -2 - up)], n, 1, denominator + 1 - slice, slice) → green2
  4. Sequence(Segment[(n, -2 - up), (n, -3 - up)], n, 1, denominator + 1, (slice * 10)) → ticks
  5. Sequence(Polygon[(n, 0), (n, -1), (n + 1, -1), (n + 1, 0)], n, 1, numerator) → red1
  6. If(numerator > 1, "s", "") → suffix
  7. If(denominator > 1, "s", "") → suffix2
  8. Polygon((1, -2 - up), (1, -3 - up), (numerator + 1, -3 - up), (numerator + 1, -2 - up)) → red2, j, k, l, m
  9. Polygon((1, -2 - up), (1, -3 - up), (denominator + 1, -3 - up), (denominator + 1, -2 - up)) → green1a, f, g, h, i
  10. Sequence(Text[((n - 1) * 100 / denominator) + "%", (n - 0.2, -3.5 - up)], n, 1, denominator + 1, (slice * 10)) → ticksn
  11. Sequence(Polygon[(n, 0), (n, -1), (n + 1, -1), (n + 1, 0)], n, 1, denominator) → green1bar
  12. Sequence(Polygon[(n, -2 - up), (n, -3 - up), (n + slice, -3 - up), (n + slice, -2 - up)], n, 1, denominator + 1 - slice, slice) → green2a