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Estimate the Number of Darts

Estimate the Number of Darts
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2019-05-05 01:07
Probability & Statistics
This example demonstrates the impact of changing a sample area selected from a larger area, allowing students to understand probability and statistics concepts. It uses commands like Circle, Polygon, Point, Segment in GeoGebra. Suitable for middle school and above students to learn probability and geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Line(A, B) → f
  3. OrthogonalLine(B, f) → g
  4. OrthogonalLine(A, f) → h
  5. Intersect(c, h, 2) → C
  6. Intersect(c, h, 1) → D
  7. Line(C, f) → i
  8. Line(D, f) → j
  9. Intersect(g, i) → E
  10. Intersect(g, j) → F
  11. Intersect(c, f, 2) → G
  12. OrthogonalLine(G, f) → k
  13. Intersect(i, k) → H
  14. Intersect(j, k) → I
  15. Polygon(H, E, F, I) → samplespace, h_1, e, f_1, i_1
  16. Midpoint(C, E) → J
  17. Midpoint(B, E) → K
  18. Midpoint(H, G) → L
  19. Midpoint(D, F) → M
  20. Segment(J, M) → l
  21. Segment(L, K) → m
  22. Intersect(l, m) → N
  23. Polygon(L, N, M, I) → boundary, l_1, n, m_1, i_2
  24. PointIn(boundary) → O
  25. Circle(O, Segment[N, J]) → d
  26. Line(O, l) → p
  27. Line(O, m) → q
  28. Intersect(d, p, 1) → P
  29. Intersect(d, q, 2) → Q
  30. Line(P, q) → r
  31. Line(Q, p) → s
  32. Intersect(r, s) → R
  33. Polygon(O, P, R, Q) → sample, side1, side4, side2, side3
  34. Textfield(guess) → guessBox
  35. Text("Sampled: 0") → inside