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12_3 Tables and Graphs: Binomial Distribution, Piecewise Functions, and Geometry

12_3 Tables and Graphs: Binomial Distribution, Piecewise Functions, and Geometry
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2021-05-06 15:27
PolygonFunctionProbability & StatisticsSlider AnimationGraphing
In collections Mat 1 ESO - IESO LA PAZ
① This comprehensive GeoGebra example demonstrates how to combine tabular data with various function graphs, including binomial distribution, piecewise functions, parabolas, solid geometry, and complex numbers, all within an interactive interface. ② Core mathematical concepts include binomial probability, piecewise function graphing, parabolic properties, solid construction, and complex number visualization, along with random number generation and interactive button controls. ③ Construction highlights: from the summary, commands such as Line, Random, Polygon, Vector, Intersect, Ray, TableText, and Segment are used; objects include multiple buttons (p1botón1, p4botón1), text objects (p1texto3), sliders (n1, n2), a polygon (polígono1), and points (A_0 to A_7). Buttons and a counter (contador) enable page or step navigation to display different mathematical topics. ④ Suitable for upper secondary or pre-university students to review connections between probability, functions, and geometry, and as a template for teachers creating interactive lessons.

GeoGebra Commands & Parameters

  1. Line(A_0, a) → b
  2. Random(1, 7) → n2
  3. Random(1, 7) → n1
  4. Polygon(C, D, G, F) → polígono1, c, d, g, f
  5. Polygon(C, H, I, F) → polígono2, c_1, h, i, f_1
  6. Vector(Centro, Y_8) → u
  7. Vector(Centro, A_8) → v
  8. Line(A_1, u) → e
  9. Line(A_2, u) → k
  10. Line(A_3, u) → l
  11. Line(A_4, u) → m
  12. Line(A_5, u) → n
  13. Line(A_6, u) → p
  14. Line(A_7, u) → q
  15. Line(Y_1, v) → r
  16. Line(Y_2, v) → s
  17. Line(Y_3, v) → a_1
  18. Line(Y_4, v) → b_1
  19. Line(Y_5, v) → d_1
  20. Line(Y_6, v) → e_1
  21. Line(Y_7, v) → g_1
  22. Line(Centro, u) → c_2
  23. Line(Y_8, v) → d_2
  24. Line(A_8, u) → f_2
  25. Intersect(r, c_2) → A
  26. Intersect(s, c_2) → B
  27. Intersect(a_1, c_2) → E
  28. Intersect(b_1, c_2) → J
  29. Intersect(d_1, c_2) → K
  30. Intersect(e_1, c_2) → L
  31. Intersect(g_1, c_2) → M
  32. Intersect(d_2, g_1) → G_1
  33. Ray(M, Y_7) → g_2
  34. Ray(L, Y_6) → h_2
  35. Ray(K, Y_5) → i_2
  36. Ray(J, Y_4) → j_2
  37. Ray(E, Y_3) → k_2
  38. Ray(B, Y_2) → l_2
  39. Ray(A, Y_1) → m_2
  40. Intersect(m, k_2) → N
  41. Vector(A_0, A_4) → w
  42. Vector(A_0, Y_3) → u_1
  43. Vector(A_4, N) → v_1
  44. Vector(Y_3, N) → w_1
  45. Vector(A_0, (x(A_0), y(A_0) + ((n2 * (x(Corner[2]) - x(A_0)))) / 8)) → w_2
  46. Vector((x(A_0), y(A_0) + ((n2 * (x(Corner[2]) - x(A_0)))) / 8), (x(A_0) + ((n1 * (x(Corner[2]) - x(A_0)))) / 8, y(A_0) + ((n2 * (x(Corner[2]) - x(A_0)))) / 8)) → u_3
  47. TableText({{1, 2, 3, 4, 5, 6, 7}, {9.58, 9.63, 9.69, 9.71, 9.72, 9.74, 9.75}}, "|_ c") → p1texto6
  48. Segment(A_1, Punto1) → h_1
  49. Segment(Y_7, Punto1) → i_1
  50. Segment(A_2, Punto2) → j_1
  51. Segment(Y_6, Punto2) → k_1
  52. Segment(A_3, Punto3) → l_1
  53. Segment(Punto3, Y_5) → m_1
  54. Segment(A_4, Punto4) → n_1
  55. Segment(Y_4, Punto4) → p_1
  56. Segment(A_5, Punto5) → q_1
  57. Segment(Y_3, Punto5) → r_1
  58. Segment(A_6, Punto6) → s_1
  59. Segment(Y_2, Punto6) → t_1
  60. Segment(A_7, Punto7) → a_2
  61. Segment(Y_1, Punto7) → n_2
  62. TableText({{"Refrescos", 1, 2, 3, 4, 5, 6, 7}, {"Euros", 1, 2, 3, 4, 5, 6, 7}}, "|_ c") → p2texto671
  63. Segment(Ymorcilla7, U) → j
  64. Segment(Ymorcilla6, V) → b_2
  65. Segment(Ymorcilla5, W) → e_2
  66. Segment(Ymorcilla4, Z) → p_2
  67. Segment(Ymorcilla3, B_1) → q_2
  68. Segment(Ymorcilla2, C_1) → r_2
  69. Segment(Ymorcilla1, D_1) → s_2
  70. Segment(O, A_1) → t_2
  71. Segment(P, A_2) → a_3
  72. Segment(Q, A_3) → b_3
  73. Segment(R, A_4) → c_3
  74. Segment(S, A_5) → d_3
  75. Segment(T, A_6) → e_3
  76. Segment(U, A_7) → f_3
  77. Intersect(t_2, s_2) → Morcilla1
  78. Intersect(a_3, r_2) → Morcilla2
  79. Intersect(b_3, q_2) → Morcilla3
  80. Intersect(c_3, p_2) → Morcilla4
  81. Intersect(d_3, e_2) → Morcilla5
  82. Intersect(e_3, b_2) → Morcilla6
  83. Intersect(f_3, j) → Morcilla7
  84. TableText({{"Refrescos", 1, 2}, {"Euros", 1, 2}}, "|_ c") → p2texto621
  85. TableText({{"Refrescos", 1, 2, 3, 4, 5, 6}, {"Euros", 1, 2, 3, 4, 5, 6}}, "|_ c") → p2texto661
  86. TableText({{"Refrescos", 1, 2, 3, 4, 5}, {"Euros", 1, 2, 3, 4, 5}}, "|_ c") → p2texto651
  87. TableText({{"Refrescos", 1, 2, 3}, {"Euros", 1, 2, 3}}, "|_ c") → p2texto631
  88. TableText({{"Refrescos", 1}, {"Euros", 1}}, "|_ c") → p2texto611
  89. TableText({{"Refrescos", 1, 2, 3, 4}, {"Euros", 1, 2, 3, 4}}, "|_ c") → p2texto641
  90. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 ", " 5 ", " 6 ", " 7 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 ", "2.5", " 3 ", "3.5"}}, "|_ c") → p3texto671
  91. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 ", " 5 ", " 6 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 ", "2.5", " 3 "}}, "|_ c") → p3texto661
  92. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 ", " 5 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 ", "2.5"}}, "|_ c") → p3texto651
  93. TableText({{"Refrescos", " 1 ", " 2 ", " 3 ", " 4 "}, {" Euros ", "0.5", " 1 ", "1.5", " 2 "}}, "|_ c") → p3texto641
  94. TableText({{"Refrescos", " 1 ", " 2 ", " 3 "}, {" Euros ", "0.5", " 1 ", "1.5"}}, "|_ c") → p3texto631
  95. TableText({{"Refrescos", " 1 ", " 2 "}, {" Euros ", "0.5", " 1 "}}, "|_ c") → p3texto621
  96. TableText({{"Refrescos", " 1 "}, {" Euros ", "0.5"}}, "|_ c") → p3texto611

AI Drawing Prompt Reference

Create an interactive graph combining binomial distribution, piecewise functions, parabolas, and solid geometry to illustrate the connection between probability, functions, and geometry. Include buttons for navigation, sliders to control parameters, and tables for data display. Feature complex geometric constructions like polygons and vectors, with dynamic elements adjustable via buttons and sliders to show different mathematical topics.
The prompt above was compiled from the original drawing commands and is for reference only.