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Fraction Addition Demonstration by Balajothi T

Fraction Addition Demonstration by Balajothi T
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2019-03-18 19:45
VectorFunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric interpretation of fraction addition; involves core math concepts like fraction operations, coordinate geometry, vectors, and transformations; construction highlights the use of GeoGebra commands/objects such as Circle, Sequence, Sector, Point, Line, Intersect, Vector, Translate, LCM, and Product; suitable for high school mathematics teaching and learning to understand the geometric meaning and calculation methods of fraction addition.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Sequence(Rotate[B, i°, A], i, 0, 360, 360 / Den1) → l1
  3. Sequence(Segment[A, Element[l1, k]], k, 1, Den1) → l2
  4. Sector(c, B, Element[l1, Num1 + 1]) → d
  5. Sequence(Rotate[B_1, i°, A_1], i, 0, 360, 360 / Den2) → l1_1
  6. Circle(A_1, B_1) → c_1
  7. Sector(c_1, Element[l1_1, Den2 - Num2 + 1], B_1) → d_1
  8. Point(l1) → C
  9. Line(B, B_1) → f
  10. Line(A, A_1) → g
  11. Point(g) → D
  12. Point(f) → E
  13. Circle(D, E) → e
  14. Intersect(e, f) → F, G
  15. Vector(B_1, F) → u
  16. Vector(B, F) → v
  17. Translate(d, v) → d'
  18. Translate(d_1, u) → h
  19. Intersect(e, d', 1) → H
  20. Sequence(Rotate[H, t°, D], t, 0, 360, 360 / Ans) → l3
  21. Sequence(Segment[D, Element[l3, k]], k, 1, Ans) → l4
  22. Sequence(Segment[A_1, Element[l1_1, k]], k, 1, Den2) → l2_1
  23. LCM(Den1, Den2) → a
  24. LCM(Den1, Den2) → b
  25. Product({b / Den1, Num1}) → i
  26. Product({b / Den2, Num2}) → j