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Temperature vs. Time Simulation by harrytomalley

Temperature vs. Time Simulation by harrytomalley
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2018-05-22 02:39
FunctionGeometric Construction
This example demonstrates the simulation of temperature changes over time, visualizing data trends through graphical representations. Key math concepts include function graphs, multiplication, equilateral triangles, interest calculations, LCM and GCD, and integer operations. Construction highlights involve commands like Polygon, Textfield, Segment, and If in GeoGebra, along with objects such as hrate, rate, and poly1. Suitable for high school mathematics education, focusing on the application of function modeling combined with geometric constructions.

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 simulation interface showing temperature changes over time, with multiple input fields for parameters like temperature range and rate. Include a square region filled with red-blue gradient bands generated by piecewise functions to represent temperature levels. Add line segments connecting points to indicate time or temperature trends. The layout combines repeated input boxes and segments, forming a control panel alongside a visualization area, emphasizing function graphs and geometric constructions.
The prompt above was compiled from the original drawing commands and is for reference only.