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Fruit Fly Population Function Modeling with GeoGebra

Fruit Fly Population Function Modeling with GeoGebra
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2012-07-10 21:35
FunctionTrigonometrySequenceCoordinate Geometry
In collections CCSS IP Math I Unit 4 Lesson 2
This GeoGebra example models fruit fly population change over 10 weeks, linking tabular data to graphical function representation. It demonstrates function modeling (exponential or sinusoidal), sequences, coordinate geometry, and tangent line rate-of-change analysis. Constructed using Textfield, Polygon, Sequence, and Segment commands, it generates structured point sets (A1-A11, B1-B11, C1-C11, D1-D7) to visualize population trends and geometric relationships. Ideal for high school mathematical modeling, algebra, trigonometry, and real-world data interpretation units.

GeoGebra Commands & Parameters

  1. Textfield(A2) → InA2
  2. Textfield(A3) → InA3
  3. Textfield(A4) → InA4
  4. Textfield(A5) → InA5
  5. Textfield(A6) → InA6
  6. Textfield(A7) → InA7
  7. Textfield(A8) → InA8
  8. Textfield(A9) → InA9
  9. Textfield(A10) → InA10
  10. Textfield(A11) → InA11
  11. Textfield(B2) → InB2
  12. Textfield(B3) → InB3
  13. Textfield(B4) → InB4
  14. Textfield(B5) → InB5
  15. Textfield(B6) → InB6
  16. Textfield(B7) → InB7
  17. Textfield(B8) → InB8
  18. Textfield(B9) → InB9
  19. Textfield(B10) → InB10
  20. Textfield(B11) → InB11
  21. Polygon((13, y(Corner[1])), Corner[2], Corner[3], (13, y(Corner[4]))) → poly1, b, c, d, e
  22. Sequence(Segment[(14, (-46) + (8.7 * i)), (19, (-46) + (8.7 * i))], i, 0, 10) → CrossList1
  23. Segment((14, 55), (19, 55)) → Top1
  24. Segment((19, 55), (21.5, 55)) → Top2
  25. Segment((21.5, 55), (24, 55)) → Top3
  26. Segment((21.5, -46.256410256410255), (21.5, 54.743589743589745)) → Side2
  27. Segment((24, -46), (24, 55)) → Side3
  28. Sequence(Segment[(21.5, (-46) + (8.7 * i)), (24, (-46) + (8.7 * i))], i, 0, 10) → CrossList3
  29. Sequence(Segment[(19, (-46) + (8.7 * i)), (21.5, (-46) + (8.7 * i))], i, 0, 10) → CrossList2
  30. Sequence(Segment[(14 + (2.5 * i), (-46)), (14 + (2.5 * i), 55)], i, 0, 2) → SideList1