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Modeling with Linear Equations

Modeling with Linear Equations
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2019-07-24 11:44
Coordinate GeometryProbability & Statistics
This example demonstrates the temperature changes recorded by a weather team every hour after sunrise in May. Using linear equations, students can understand the temperature changes over time. Key mathematical concepts include linear equations, coordinate geometry, and statistical characteristics. Dynamic temperature changes are shown using GeoGebra commands such as Corner, Polygon, and Textfield. Suitable for middle school and above students to learn about linear relationships in temperature changes.

GeoGebra Commands & Parameters

  1. Corner(2) → Corn2
  2. Corner(3) → Corn3
  3. Polygon(Corn1, Corn2, Corn3, Corn4) → poly1, corn1, corn2, corn3, corn4
  4. Textfield(A2) → InA2
  5. Textfield(A3) → InA3
  6. Textfield(A4) → InA4
  7. Textfield(A5) → InA5
  8. Textfield(A6) → InA6
  9. Textfield(A7) → InA7
  10. Textfield(A8) → InA8
  11. Textfield(A9) → InA9
  12. Textfield(B9) → InB9
  13. Textfield(B8) → InB8
  14. Textfield(B7) → InB7
  15. Textfield(B6) → InB6
  16. Textfield(B5) → InB5
  17. Textfield(B4) → InB4
  18. Textfield(B3) → InB3
  19. Textfield(B2) → InB2
  20. Sequence(Segment[(9.5, 10 + (6.5 * j)), (12.2, 10 + (6.5 * j))], j, 0, 9) → LnList
  21. Sequence(Segment[(9.5 + (1.35 * j), 10), (9.5 + (1.35 * j), 68.5)], j, 0, 2) → LnList2
  22. Line(I, J) → FitLine
  23. VerticalText("\text{Temperature (}°\text{F)}") → DownLegend

AI Drawing Prompt Reference

Draw a temperature change graph over time, with the x-axis representing hours and the y-axis representing temperature in Fahrenheit. Use line segments to show hourly temperature changes and fit a linear trend line to illustrate the temperature trend over time. Add a legend to indicate the temperature unit.
The prompt above was compiled from the original drawing commands and is for reference only.