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Fraction Splitting

Fraction Splitting
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2018-07-10 18:01
Angle
This example demonstrates how to split a fraction into simpler fractions. Key mathematical concepts include the properties and addition of fractions. Using GeoGebra commands such as Circle, Point, Segment, Rotate, and Angle, the process of fraction splitting is dynamically illustrated. Suitable for middle school and above students to learn fraction addition and decomposition.

GeoGebra Commands & Parameters

  1. Circle(A, 10) → c
  2. Point(c) → B
  3. Segment(A, B) → f
  4. Rotate(B, (360 * ° / a), A) → B'
  5. Segment(A, B') → g
  6. Rotate(B', (360 / a)°, A) → B''
  7. Segment(A, B'') → h
  8. Rotate(B'', (360 / a)°, A) → B'''
  9. Angle(B'', A, B''') → α
  10. Segment(A, B''') → i
  11. Rotate(B''', (360 / a)°, A) → C
  12. Angle(B''', A, C) → β
  13. Segment(A, C) → j
  14. Rotate(C, (360 / a)°, A) → C'
  15. Angle(C, A, C') → γ
  16. Rotate(C', (360 / a)°, A) → C''
  17. Angle(C', A, C'') → δ
  18. Rotate(C'', (360 / a)°, A) → C'''
  19. Angle(C'', A, C''') → ε
  20. Rotate(C''', (360 / a)°, A) → D
  21. Angle(C''', A, D) → ζ
  22. Rotate(D, (360 / a)°, A) → D'
  23. Angle(D, A, D') → η
  24. Segment(A, C') → k
  25. Segment(A, C'') → l
  26. Segment(A, C''') → m
  27. Segment(A, D) → n
  28. Segment(A, D') → p
  29. Rotate(B, (360 / b)°, A) → B'_1
  30. Angle(B, A, B'_1) → θ
  31. Rotate(B'_1, (360 / b)°, A) → E
  32. Angle(B'_1, A, E) → ι
  33. Rotate(E, (360 / b)°, A) → E'
  34. Angle(E, A, E') → κ
  35. Rotate(E', (360 / b)°, A) → E''
  36. Angle(E', A, E'') → λ
  37. Rotate(E'', (360 / b)°, A) → E'''
  38. Angle(E'', A, E''') → μ
  39. Rotate(E''', (360 / b)°, A) → F
  40. Angle(E''', A, F) → ν
  41. Rotate(F, (360 / b)°, A) → F'
  42. Angle(F, A, F') → ξ
  43. Rotate(F', (360 / b)°, A) → F''
  44. Angle(F', A, F'') → ο
  45. Rotate(F'', (360 / b)°, A) → F'''
  46. Angle(F'', A, F''') → ρ
  47. Segment(A, B'_1) → q
  48. Segment(A, E) → r
  49. Segment(A, E') → s
  50. Segment(A, E'') → t
  51. Segment(A, E''') → d
  52. Segment(A, F) → e
  53. Segment(A, F') → f_1
  54. Segment(A, F'') → g_1
  55. Segment(A, F''') → h_1