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Temperature vs. Time Simulation by harrytomalley (4)

Temperature vs. Time Simulation by harrytomalley (4)
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2018-05-22 02:30
FunctionTrigonometryCalculusGraphing
This example demonstrates the dynamic visualization of temperature changes over time. It involves core math concepts like function graphing, differential equations, trigonometry, and polygon construction. Key GeoGebra commands and objects used include Polygon, Textfield, Segment, and If for creating shapes, displaying text, drawing segments, and implementing conditional logic. Suitable for high school and above students to explore function modeling, differential equations, and parameterized animations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Textfield(cmin) → InputBox1
  3. Textfield(cmax) → InputBox2
  4. Textfield(a) → InputBox3
  5. Textfield(outputmin) → InputBox4
  6. Textfield(outputmax) → InputBox5
  7. Textfield(p) → InputBox6
  8. Segment(E, F) → j
  9. Textfield(a) → InputBox3_1
  10. Textfield(outputmin) → InputBox4_1
  11. Textfield(outputmax) → InputBox5_1
  12. Segment(E_1, F_1) → j_1
  13. Polygon(A_1, B_1, 4) → poly1_1, f_1, g_1, h_1, i_1, C_1, D_1
  14. Textfield(a) → InputBox3_2
  15. Textfield(outputmin) → InputBox4_2
  16. Textfield(outputmax) → InputBox5_2
  17. Textfield(a) → InputBox3_3
  18. Textfield(outputmin) → InputBox4_3
  19. Textfield(outputmax) → InputBox5_3
  20. Textfield(a) → InputBox3_4
  21. Textfield(outputmin) → InputBox4_4
  22. Textfield(outputmax) → InputBox5_4
  23. Textfield(a) → InputBox3_5
  24. Textfield(outputmin) → InputBox4_5
  25. Textfield(outputmax) → InputBox5_5
  26. Textfield(a) → InputBox3_6
  27. Textfield(outputmin) → InputBox4_6
  28. Textfield(outputmax) → InputBox5_6
  29. Textfield(a) → InputBox3_7
  30. Textfield(outputmin) → InputBox4_7
  31. Textfield(outputmax) → InputBox5_7
  32. If(ZeroToOne < 94 / 256, 255, 94 / 256 ≤ ZeroToOne ≤ 210 / 256, ((-2.198 * (ZeroTo256 - 210))) / 256, ZeroToOne > 210 / 256, 0) → blue
  33. If(ZeroToOne < 37 / 256, 0, 37 / 256 ≤ ZeroToOne ≤ 179 / 256, (48.845 * (ZeroTo256 - 37)^(1 / 3) / 256), ZeroToOne > 179 / 256, 1) → red
  34. If(ZeroToOneTwo < 94 / 256, 255, 94 / 256 ≤ ZeroToOneTwo ≤ 210 / 256, ((-2.198 * (ZeroTo256Two - 210))) / 256, ZeroToOneTwo > 210 / 256, 0) → blue2
  35. If(ZeroToOneTwo < 37 / 256, 0, 37 / 256 ≤ ZeroToOneTwo ≤ 179 / 256, (48.845 * (ZeroTo256Two - 37)^(1 / 3) / 256), ZeroToOneTwo > 179 / 256, 1) → red2
  36. Textfield(rate) → InputBox7
  37. Segment(E_2, F_2) → k
  38. Segment(E_2, H) → l

AI Drawing Prompt Reference

Create a dynamic temperature vs. time graph with multiple quadrilaterals and text input boxes. Start by drawing a quadrilateral to represent the temperature change area, then add six text input boxes to control the quadrilateral's parameters, colors, and display ranges. Next, draw two line segments to indicate the temperature change boundaries, and finally use conditional statements to set color changes.
The prompt above was compiled from the original drawing commands and is for reference only.