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Sailboat and Periodic Functions by Dr. Fisher

Sailboat and Periodic Functions by Dr. Fisher
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2016-05-18 03:20
FunctionTrigonometrySlider Animation
In collections Sail Away!
This example uses a sailboat floating next to a dock to help students understand periodic functions, particularly sine functions. It involves commands like Circle, Point, Segment, Polygon, Intersect in GeoGebra to dynamically observe the sailboat's movement. Suitable for high school mathematics education, especially in teaching trigonometric functions and function graphs.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(D, C) → g
  4. Segment(C, A) → h
  5. Polygon(E, F, G, H) → poly1, e, f_1, g_1, h_1
  6. Point(g_1) → I
  7. Polygon(I, J, K, L) → poly2, i, j, k, l
  8. Intersect(g_1, yAxis) → M
  9. Point(g_1) → P
  10. Polygon(M, N, O, P) → poly3, m, n, o, p
  11. Polygon(T, S, Q, R) → poly4, t, s, q, r
  12. Polygon(U, W, Z, A_1, V) → poly5, b, d, i_1, j_1, k_1
  13. Circle(B_1, C_1) → c_1
  14. Circle(B_1, D_1) → d_1