## Some GeoGebra links for Parametric Equations

Lissajous curve explorer. Drag the sliders, click the equations to edit them and play around.

Unit Circle motion explorer. Animate some sliders, turn on and off some points.

Page 179 (bottom). Not every organized, but some potential curves that pass through the points. Play around to learn some stuff!

Page 180 (top). Watch the motion happen!

Page 181 (top). Play around with circles and parametric equations.

Parametric Race on y = x^2. Move or animate the slider for v and watch the points race to 25. (Click on v and then use the right arrow to step more slowly.) Scroll through the algebra view to look at the curves and the points.

Aquarium from YouTube video. This is a finished version of the aquarium thing we made in this youtube video.

Notes 15, pg 187, Q1. Animate the slider (or drag it) to watch the two objects move from their start to finish points. Notice when they pass through the intersection point.

Notes 15, pgs. 188-189. A sketch that offers one way to visualize the motion of the birds described on these pages of the notes.

Page 194. Basically the end result of working through the problem. Try to make your own!

Point going around a square from YouTube video. This is a version of a sketch you can create based on the equations we come up with in this video.

Spirograph. In this sketch I tried to make a simple spirograph. Point A is on the circle rolling around the larger circle. In this animating v is a good idea. Then just incrementing b2 is a good idea. You should try to create your own!

Point moving back and forth between two points moving around a circle. The shape of these graphs transitions into the next topic we'll be covering in the notes!

GeoGebra "book" that walks through the thought process of arriving at the parametric equations of a cycloid.