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…

R = - 0.6, - 2 < S < 0,  A = 6pi

Hypocycloids and Hypotrochoids

Roulettes – 4: Hypocycloids and Hypotrochoids In our last few posts we investigated rouletts, the curves that are formed by the locus of points attached to a circle as it rolls around the outside of a fixed circle. Depending on the ratio of the radii (and therefore the circumferences) of the circles these curves are the…

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…