Your AP IPR

The AP Instructional Planning Report, IPR, is available today from your audit website, the same place you found your students’ scores. While we all like to see how or students performed individually on the AP exams, the IPR may be of more use to you. It will help you learn where the strengths and weaknesses…

R3-f

Epitrochoids

Roulettes – 3: Epitrochoids In the first post of this series Roulette Generators are explained. Here are the files for Winplot or Geometer’s Sketchpad. Use them to quickly see the graphs of these curves by adjusting one or two parameters. The parametric equations of these curves are below. R and S are parameters that are adjusted for each curve. Before looking at Epitrochoids, consider the…

R = S = 2/3  with  O < t < 2pi

Epicycloids

Roulettes - 2: Epicycloids In the last post we saw how a cardioid can be generated by watching the locus of a point on as one circle rolls around another circle with the same radius. In the first post of this series Roulette Generators are explained. Here are the files for Winplot or Geometer’s Sketchpad. Use them to quickly see the graphs of…

Cycloid

Rolling Circles

A few weeks ago I covered some trigonometry classes for another teacher. They were studying polar and parametric graphs and the common curves limaçon, rose curves, cardioids, etc. I got to thinking about these curves. the next few posts will discuss what I learned. To help me see what was happening I made a Winplot…