MathPlotAI Logo MathPlotAI

Mixing Two Solutions - Percentage Dynamic Demonstration

Mixing Two Solutions - Percentage Dynamic Demonstration
Loading the math board and drawing, please wait…
2015-08-11 15:43
PolygonFunctionSequenceSlider AnimationGraphing
In collections Chemistry2
This GeoGebra example dynamically demonstrates the percentage change when mixing two solutions of different concentrations. It visualizes the mathematical modeling of mixture problems, involving core concepts such as ratios, percentages, linear relationships, and function graphs. The construction uses commands like OrthogonalLine, Line, Intersect, Sequence, KeepIf, Element, IndexOf, Textfield, Segment, Midpoint, VerticalText, Min, Max, Polygon, and Ray to build an interactive interface with sliders and live text updates. Suitable for middle and high school students, it aids in understanding proportional reasoning and can be used in mathematics or interdisciplinary chemistry lessons to make abstract mixture problems tangible.

GeoGebra Commands & Parameters

  1. OrthogonalLine(G_2, l) → q
  2. Line(A_2, C_2) → p
  3. Intersect(q, p) → B_2
  4. Sequence((100 * n), n, 0, 200) → list1
  5. Line(A_3, B_3) → f
  6. Intersect(c, f) → C_3
  7. KeepIf(0 < x ≤ 100, list21) → list31
  8. Element(list31, 1) → elem1
  9. IndexOf(elem1, list21) → index1
  10. Element(list1, index1) → scale
  11. Line(A_1, C_1) → b
  12. Intersect(a, b) → B_1
  13. Line(B_4, C_4) → i
  14. Intersect(l, i) → A_4
  15. Textfield(m_{11}) → inputBoxm11
  16. Textfield(m_{21}) → inputBoxm21
  17. Textfield(w_{21}) → inputBoxw21
  18. Textfield(w_{11}) → inputBoxw11
  19. Textfield(m_{32}) → inputBoxm32
  20. Segment(E_1, C_1) → b_1
  21. Segment(C_1, F_1) → c_1
  22. Segment(D_1, B_1) → a_1
  23. Segment(B_1, G_1) → d_1
  24. Segment(G_2, B_2) → d_2
  25. Segment(B_2, D_2) → a_2
  26. Segment(C_2, E_2) → b_2
  27. Segment(C_2, F_2) → c_2
  28. Segment(G_3, B_3) → d_3
  29. Segment(D_3, B_3) → a_3
  30. Segment(G_4, B_4) → d_4
  31. Segment(B_4, D_4) → a_4
  32. Segment(F_4, C_4) → c_4
  33. Segment(C_4, E_4) → b_4
  34. Segment(A_4, C_4) → g_4
  35. Midpoint(D_2, E_2) → S_2
  36. Midpoint(D_4, E_4) → S_4
  37. Textfield(w_{12}) → inputBoxw12
  38. Textfield(w_{22}) → inputBoxw22
  39. Textfield(w_{13}) → inputBoxw13
  40. Textfield(w_{23}) → inputBoxw23
  41. Textfield(w_{33}) → inputBoxw33
  42. Textfield(m_{13}) → inputBoxm13
  43. Textfield(w_{32}) → inputBoxw32
  44. Textfield(w_{14}) → inputBoxw14
  45. Textfield(w_{34}) → inputBoxw34
  46. Textfield(m_{14}) → inputBoxm14
  47. Textfield(m_{34}) → inputBoxm34
  48. Midpoint(D_1, E_1) → S_1
  49. VerticalText(Oy) → Oyv
  50. VerticalText(text2) → text3
  51. Min(w_{13}, w_{23}) → min3
  52. Max(w_{13}, w_{23}) → max3
  53. Polygon(H_1, H_2, J_2, J_1) → poly1z1, a_5, b_5, c_5, d_5
  54. Polygon(H_1, H_2, I_2, I_1) → poly1b1, d, e, j, k
  55. Midpoint(D_3, E_3) → S_3
  56. Ray(F_3, C_3) → h
  57. Polygon(H_3, H_4, J_4, J_3) → poly1z2, n_1, o_1, t_5, r_5
  58. Polygon(H_3, H_4, I_4, I_3) → poly1b2, n_2, o_2, p_5, q_5
  59. Polygon(H_8, H_9, I_9, I_8) → poly1b3, u_5, v_1, w_5, x_1
  60. Polygon(H_8, H_9, J_9, J_8) → poly1z3, u_6, v_2, z_1, y_1
  61. Segment(F_3, C_3) → c_3
  62. Segment(C_3, E_3) → b_3
  63. OrthogonalLine(F_2, l) → g
  64. Polygon(H_5, H_7, I_7, I_5) → poly1, h_5, h_7, i_7, i_5
  65. Polygon(H_5, H_6, J_6, J_5) → poly2, h_1, h_6, j_6, j_5
  66. Polygon(H_6, H_7, J_7, J_{61}) → poly3, m, n, t_6, e_1
  67. Segment(H_6, I_6) → i_1
  68. Segment(A_3, C_3) → j_1
  69. Segment(A_1, C_1) → l_1
  70. Segment(A_2, C_2) → e_2