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Dividing Fractions with Denominators of 12

Dividing Fractions with Denominators of 12
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2017-04-03 22:21
CalculusGeometric Construction
This example demonstrates how to divide one fraction with a denominator of 12 by another fraction with the same denominator. It uses a step-by-step approach to help students understand the concept of fraction division. Commands used include Circle, Point, Segment, Rotate, CircleSector, Angle, Textfield, Mirror, FractionText, and LaTeX. Suitable for upper elementary and middle school students learning fraction division.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(C, A) → f
  4. Rotate(C, α, A) → C'
  5. Segment(A, C') → g
  6. CircleSector(A, C, C') → d
  7. Rotate(C, 30°, A) → C'_1
  8. Angle(C, A, C'_1) → γ
  9. Rotate(C'_1, 30°, A) → D
  10. Angle(C'_1, A, D) → δ
  11. Rotate(D, 30°, A) → D'
  12. Angle(D, A, D') → ε
  13. Rotate(D', 30°, A) → D''
  14. Angle(D', A, D'') → ζ
  15. Rotate(D'', 30°, A) → D'''
  16. Angle(D'', A, D''') → η
  17. Rotate(D''', 30°, A) → E
  18. Angle(D''', A, E) → θ
  19. Rotate(E, 30°, A) → E'
  20. Angle(E, A, E') → ι
  21. Rotate(E', 30°, A) → E''
  22. Angle(E', A, E'') → κ
  23. Rotate(E'', 30°, A) → E'''
  24. Angle(E'', A, E''') → λ
  25. Rotate(E''', 30°, A) → F
  26. Angle(E''', A, F) → μ
  27. Rotate(F, 30°, A) → F'
  28. Angle(F, A, F') → ν
  29. Segment(C'_1, A) → h
  30. Segment(A, D) → i
  31. Segment(A, D') → j
  32. Segment(D'', A) → k
  33. Segment(A, D''') → l
  34. Segment(A, E) → m
  35. Segment(A, E') → p
  36. Segment(A, E'') → q
  37. Segment(A, E''') → r
  38. Segment(A, F) → s
  39. Segment(A, F') → t
  40. Textfield() → InputBox1
  41. Textfield(α) → InputBox2
  42. Mirror(E''', G) → I
  43. Mirror(A, G) → A'
  44. Circle(A', I) → e
  45. Point(e) → H
  46. Segment(H, A') → n
  47. Rotate(H, 30°, A') → H'
  48. Angle(H, A', H') → β_1
  49. Rotate(H', 30°, A') → H''
  50. Angle(H', A', H'') → ξ
  51. Rotate(H'', 30°, A') → H'''
  52. Angle(H'', A', H''') → ο
  53. Rotate(H''', 30°, A') → J
  54. Angle(H''', A', J) → ρ
  55. Rotate(J, 30°, A') → J'
  56. Angle(J, A', J') → σ
  57. Rotate(J', 30°, A') → J''
  58. Angle(J', A', J'') → τ
  59. Rotate(J'', 30°, A') → J'''
  60. Angle(J'', A', J''') → υ
  61. Rotate(J''', 30°, A') → K
  62. Angle(J''', A', K) → ϕ
  63. Rotate(K, 30°, A') → K'
  64. Angle(K, A', K') → χ
  65. Rotate(K', 30°, A') → K''
  66. Angle(K', A', K'') → ψ
  67. Rotate(K'', 30°, A') → K'''
  68. Angle(K'', A', K''') → ω
  69. Segment(H', A') → a
  70. Segment(A', H'') → b
  71. Segment(H''', A') → f_1
  72. Segment(A', J) → g_1
  73. Segment(J', A') → h_1
  74. Segment(A', J'') → i_1
  75. Segment(J''', A') → j_1
  76. Segment(A', K) → k_1
  77. Segment(A', K') → l_1
  78. Segment(K'', A') → m_1
  79. Segment(A', K''') → n_1
  80. Rotate(H, β, A') → H'_1
  81. Rotate(H, β, A') → H'_2
  82. Angle(H, A', H'_2) → α_1
  83. CircleSector(A', H, H'_1) → c_1
  84. FractionText(answer) → text58
  85. LaTeX(text58, true, true) → Answer

AI Drawing Prompt Reference

Draw a circle with a center point and a point on the circumference. Connect the center to that point with a radius. Then rotate the point around the center in 30-degree increments, twelve times total, drawing a radius from the center to each new position. Between each pair of adjacent radii, fill a circular sector. Label each angle at the center. Below the figure, place two text input boxes: one for entering an angle value and one for displaying the result. Finally, to the right, draw a mirror image of the circle and its sectors, and rotate one radius by 30 degrees, labeling the corresponding angle.
The prompt above was compiled from the original drawing commands and is for reference only.