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AP Stats Grade Simulator

AP Stats Grade Simulator
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2019-05-16 01:22
Coordinate GeometryProbability & StatisticsOptimizationGeometric Construction
This example demonstrates how to simulate AP Statistics exam grade distributions and predictions using GeoGebra. It involves core concepts like probability & statistics, linear programming, and coordinate geometry. Construction highlights include commands like If, Point, Intersect, OrthogonalLine, Polygon. Suitable for high school statistics and mathematical modeling education.

GeoGebra Commands & Parameters

  1. If(RAW > 70, 5, RAW > 57, 4, RAW > 44, 3, RAW > 33, 2, RAW ≥ 0, 1) → APGrade
  2. Point({0, RAW}) → A
  3. Intersect(xAxis, yAxis) → B
  4. Point(xAxis) → C
  5. OrthogonalLine(A, yAxis) → f
  6. OrthogonalLine(C, f) → g
  7. Intersect(f, g) → D
  8. Point({0, 33}) → E
  9. Point({0, 44}) → F
  10. Point({0, 57}) → G
  11. Point({0, 70}) → H
  12. OrthogonalLine(E, yAxis) → h
  13. OrthogonalLine(F, yAxis) → i
  14. OrthogonalLine(G, yAxis) → j
  15. OrthogonalLine(H, yAxis) → k
  16. Point({0, 100}) → I
  17. OrthogonalLine(I, yAxis) → l
  18. Intersect(g, h) → J
  19. Intersect(g, i) → K
  20. Intersect(g, j) → L
  21. Intersect(g, k) → M
  22. Intersect(g, l) → N
  23. Polygon(E, B, C, J) → q1, e, b, c, j_1
  24. Polygon(E, F, K, J) → q2, e_1, f_1, k_1, j_2
  25. Polygon(F, G, L, K) → q3, f_2, g_1, l_1, k_2
  26. Polygon(G, H, M, L) → q4, g_2, h_1, m, l_2
  27. Polygon(H, I, N, M) → q5, h_2, i_1, n, m_1
  28. Polygon(A, D, C, B) → q6, a, d, c_1, b_1

AI Drawing Prompt Reference

Draw a coordinate system with x-axis from 0 to 100 and y-axis with marks at 0, 33, 44, 57, 70. Connect these points to form a pentagon. Draw perpendicular lines from these y-marks to the x-axis, intersecting the pentagon's sides to create several points. Connect these points and the vertices to form five smaller polygons, depicting a piecewise function.
The prompt above was compiled from the original drawing commands and is for reference only.