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Math Investigation: Sun Activity with Similar Triangles

Math Investigation: Sun Activity with Similar Triangles
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2016-06-20 20:11
TriangleFunctionTrigonometryProbability & StatisticsGeometric Construction
This example demonstrates the simulation of sun activity changes using the principle of similar triangles. It involves core math concepts like similar triangles, trigonometry, and percentage calculations. Constructed with GeoGebra commands: Circle, Point, OrthogonalLine, Segment, Line, Intersect, and Angle. Suitable for high school mathematics education, focusing on geometric constructions and introductory probability & statistics applications.

GeoGebra Commands & Parameters

  1. Circle(O, B_1) → c
  2. Point(c) → Ang
  3. Point(xAxis) → A
  4. OrthogonalLine(A, xAxis) → a
  5. Point(a) → B
  6. Segment(A, B) → b
  7. Line(O, Ang) → d
  8. Line(B, d) → e
  9. Intersect(e, xAxis) → C
  10. Segment(A, C) → f
  11. Segment(A, C) → g
  12. Intersect(c, yAxis, 1) → G_1
  13. Point(xAxis) → G
  14. OrthogonalLine(G, xAxis) → h
  15. Point(h) → H
  16. Segment(G, H) → X
  17. Line(H, d) → j
  18. Intersect(j, xAxis) → I
  19. Segment(G, I) → k
  20. OrthogonalLine(O, xAxis) → l
  21. Intersect(l, xAxis) → K
  22. Angle(K, O, Ang) → α