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Fraction Addition by Przemysław Kajetanowicz

Fraction Addition by Przemysław Kajetanowicz
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2020-06-11 06:26
TrigonometryCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the geometric intuition and calculation process of fraction addition. It involves core mathematical concepts such as fraction operations, least common multiple (LCM), sequence generation, and coordinate geometry construction. Key GeoGebra commands and objects used include LCM, Sequence, Element, Segment, Line, and n, m, lcm, list1, list2, etc. It is suitable for middle school and above mathematics teaching, demonstrating the integration of fraction operations and geometry.

GeoGebra Commands & Parameters

  1. LCM(n, m) → lcm
  2. Sequence(((max * k / n), 0), k, 0, n) → list1
  3. Sequence(((max * k / m), 0), k, 0, m) → list2
  4. Element(list1, 2) → C
  5. Element(list2, 2) → D
  6. Segment((0, off1), ((xB * 1 / n), off1)) → seg1overn
  7. Segment((0, (-off1)), ((xB * 1 / m), (-off1))) → seg1overm
  8. Line(E, F) → f
  9. Segment((xE, yE), (xE + (xB * 1 / n), yE)) → seg1overn2
  10. Segment(Pt1overn, Pt1overn + ((xB * 1 / m), 0)) → seg1overm2
  11. Sequence(Segment[((max * k / lcm), -2), ((max * k / lcm), 1)], k, 0, lcm) → list3