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Exploring Comparing Fractions With Like Denominator

Exploring Comparing Fractions With Like Denominator
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2017-07-22 16:01
Coordinate GeometryGeometric Construction
In collections Fractions الكسور
This example demonstrates how to visually compare fractions with the same denominator. Core math concepts include fraction comparison, numerical representation, and geometric intuition. It utilizes GeoGebra commands/objects like Random, Vector, Sequence, LCM, If. Suitable for middle school mathematics teaching to help students understand the principles and methods of fraction comparison.

GeoGebra Commands & Parameters

  1. Random(2, 10) → b
  2. Random(1, d) → c
  3. Random(1, b) → a
  4. Vector((0, 2)) → j
  5. Sequence(Rectangle[20 / b, ((k * 20 / b) - 5, 6), ((k * 20 / b) - 5, 4)], k, 0, b - 1) → list1
  6. Sequence(Rectangle[20 / b, ((k * 20 / b) - 5, 6), ((k * 20 / b) - 5, 4)], k, 0, a - 1) → list2
  7. Sequence(Rectangle[20 / d, ((k * 20 / d) - 5, 3), ((k * 20 / d) - 5, 1)], k, 0, d - 1) → list5
  8. Sequence(Rectangle[20 / d, ((k * 20 / d) - 5, 3), ((k * 20 / d) - 5, 1)], k, 0, c - 1) → list3
  9. LCM(b, d) → m
  10. If(a < c, "<", If[a > c, ">", "="]) → comp