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Fraction Addition by Guy Barmoha

Fraction Addition by Guy Barmoha
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2015-08-14 15:16
SequenceGeometric Construction
This example demonstrates the process of fraction addition. Key mathematical concepts include fraction addition. Using GeoGebra commands such as Circle, Ray, Intersect, and Point, a geometric model of fraction addition is constructed. Suitable for high-grade elementary or junior high school students to learn fraction addition.

GeoGebra Commands & Parameters

  1. Circle(A, 3) → c
  2. Ray(A, B) → d
  3. Intersect(c, d, 1) → C
  4. Point(d) → D
  5. Circle(D, 3) → e
  6. Intersect(e, d, 2) → E
  7. Sequence(Segment[A, Rotate[C, α, A]], α, 0, 6.283185307179586, (2 * 3.141592653589793 / a)) → L1
  8. Sequence(Segment[D, Rotate[E, α, D]], α, 0, 6.283185307179586, (2 * 3.141592653589793 / b)) → L2
  9. Point(d) → F
  10. Circle(F, 3) → h
  11. Intersect(h, d, 2) → G
  12. Rotate(C, ((f * 2) * 3.141592653589793 / a), A) → H
  13. Rotate(E, ((g * 2) * 3.141592653589793 / b), D) → I
  14. CircleSector(A, C, H) → k
  15. CircleSector(D, E, I) → p
  16. Sequence(Segment[F, Rotate[G, α, F]], α, 0, 6.283185307179586, (2 * 3.141592653589793 / i)) → L3
  17. Rotate(G, ((f * 2) * 3.141592653589793 / a), F) → J
  18. CircleSector(F, G, J) → q
  19. Rotate(J, ((g * 2) * 3.141592653589793 / b), F) → K
  20. CircleSector(F, J, K) → r

AI Drawing Prompt Reference

Draw a circle centered at point A, then draw a ray from A to B, intersecting the circle at point C. Draw another circle centered at D, intersecting the ray at point E. Rotate point C around point A to generate a series of arc segments L1. Rotate point E around point D to generate a series of arc segments L2. Draw a circle centered at F, intersecting the ray at point G, and rotate point G around point F to generate a series of arc segments L3.
The prompt above was compiled from the original drawing commands and is for reference only.