A limacon? ABOUT FACE! Call it a Rose!

This is something I discovered while just exploring with GeoGebra. It occurred as a result of my work exploring what I call "Floating Midpoints".
The complete file can be found here.

What do you know about "cosine"?

Technology such as Geogebra can give tremendous opportunities to hook students into mathematics if it is introduced as a tool that uses basic mathematics. In the "olden days" one had to have a solid grounding in trig and coordinate geometry to even begin to deal with graphs such as those shown here.

Yes, this does use "cosine". I feel that it could be used to create a desire to find out what this thing called "cosine" really is. As a motivator.

A number of my blog entries have been geared towards using GeoGebra as a math motivator. I will be presenting how some of them were created at the annual conference of the Association of Mathematics Teachers of new York State this fall in Rochester. It'll be fun!!