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Comparing Unlike Fractions

Comparing Unlike Fractions
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2019-01-31 19:09
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to compare unlike fractions using graphical methods. It involves core mathematical concepts such as fraction comparison, geometric representation, and parametric curves. GeoGebra commands and objects like Point, If, Circle, Sequence, Textfield, Segment, and Sector are used in the construction. Suitable for middle school and above students to understand the visual approach to fraction comparison.

GeoGebra Commands & Parameters

  1. Point(xAxis) → D
  2. Point(xAxis) → C
  3. If(D2 > 1, D1_{2}, D1_1 + 1) → b
  4. Circle(C, D) → e
  5. Point(xAxis) → E
  6. Point(xAxis) → F
  7. Sequence(Rotate[D, (360° * i / D1_{2}), C], i, 1, D1_{2}) → list1
  8. Circle(E, F) → f
  9. Sequence(Rotate[F, (360° * i / b), E], i, 1, b) → list3
  10. Sequence(Segment[E, Element[list3, i]], i, 1, b) → list4
  11. Circle(E, 1.3) → k
  12. If(D2 > 1, (D1_{2} / New2 * New3), N1 + 1) → New
  13. Textfield(D1_1) → D1
  14. Textfield(N1) → InputBox2
  15. Segment(Q, R) → l
  16. Segment(S, T) → m
  17. Textfield(D1_1) → InputBox1
  18. Sequence(Segment[C, Element[list1, i]], i, 1, D1_{2} + 1) → list2
  19. Sector(f, F, Element[list3, New]) → h
  20. Sector(e, D, Element[list1, N1_{1}]) → g