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Comparing Fractions on a Number Line

Comparing Fractions on a Number Line
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2017-07-22 15:59
VectorFunctionGeometric Construction
In collections Fractions الكسور
This example visually demonstrates how to compare two fractions using a number line. It involves core math concepts like fraction comparison, number line representation, and equivalent fractions. Construction highlights include commands like Random, If, LCM, Sequence, Vector, and Textfield from GeoGebra. Suitable for middle school mathematics teaching to help students understand fraction comparison methods and the application of number lines.

GeoGebra Commands & Parameters

  1. Random(2, 10) → q
  2. Random(1, q) → p
  3. Random(2, 10) → b
  4. Random(1, b) → a
  5. If(a / b ≟ p / q, "=", If[a / b < p / q, "<", ">"]) → Comp
  6. LCM(b, q) → c
  7. Sequence((k, 0), k, 1 / q, 1, 1 / q) → list1
  8. Sequence(Segment[Element[list1, k] + (0, 0.01), Element[list1, k] - (0, 0.01)], k, 1, c) → list3
  9. Vector((0, 0), (1.1, 0)) → v
  10. Sequence(Segment[Element[list1, k] + (0, 0.02), Element[list1, k] - (0, 0.02)], k, 0, c, 10) → list2
  11. Textfield(Ans) → InputBox1
  12. Vector((0, 0.1), (1.1, 0.1)) → d
  13. Sequence((k, 0.1), k, 1 / b, 1, 1 / b) → list4