Big Idea:How do changes to the Ferris wheel affect the graph? Without having studied transformations of trigonometric functions, students can develop their own generalizations about this using Ferris wheels.
Big Idea:How fast is the rider actually moving as the wheel turns? How do changing the angular speed and the radius of the wheel affect the speed of the rider? Students make a generalization about how these changes affect the rider's speed.
Big Idea:After many days of investigation, students will finally apply their previous knowledge to this new problem--and take the first steps to extend right triangle trigonometry to all points on the unit circle.