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Automated Tractor Mowing Trial: Linear Functions & Scatter Plot Demo

Automated Tractor Mowing Trial: Linear Functions & Scatter Plot Demo
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2012-05-31 00:10
PolygonFunctionCoordinate GeometrySlider AnimationGraphing
In collections CCGPS CA Unit 4 Lesson 2
① This example demonstrates the trial data of automated tractors mowing fields of various sizes, plotting a scatter plot and fitting a linear function model. ② Core mathematical concepts include linear functions, linear equations, scatter plots, similarity transformations, and area calculation of rectangular fields. ③ Construction highlights: Corner and Polygon create rectangular fields; Sequence generates multiple trial points; Line draws the fitted line; Slider animates parameter changes; Textfield and VerticalText label coordinates and values. ④ Suitable for high‑school algebra and statistics courses, and as a college‑prep demonstration of linear regression and geometric modeling.

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. Line(Pt1, Pt2) → FitLine
  21. Sequence(Segment[(45, 10 + (10 * j)), (60, 10 + (10 * j))], j, 0, 11) → LnList
  22. Sequence(Segment[(45 + (7.5 * j), 10), (45 + (7.5 * j), 120)], j, 0, 2) → LnList2
  23. Textfield(A10) → InA10
  24. Textfield(A11) → InA11
  25. Textfield(B10) → InB10
  26. Textfield(B11) → InB11
  27. VerticalText("\text{Time (hours)}") → DownLegend
  28. Sequence(Segment[((5 * i), 0), ((5 * i), 120)], i, 0, 8) → Gridx
  29. Sequence(Segment[(0, (10 * i)), (40, (10 * i))], i, 0, 12) → Gridy