Day 84: Hands on Polar Equations
Many years ago (I don’t want to say how many but it was before we had access to graphing calculators), I had my students hand draw various polar equations. Having technology so readily available now, this project had been shelved and collecting dust. I decided today that I wanted my precalculus students do experience a tactile activity today. Although I love polar equations, it just didn’t fit the timeline this semester (maybe we’ll revisit next semester). But why not give them an initial exposure to Polar Equations and their graphs as a way to review polar coordinates just before finals…and besides, the graphs are fun and unexpected.
I wrote up the activity and made some decisions about how to have students make posters. A few years ago our department invested in large boxes of poster paper (you can see the poster paper in many of my posts) which was a pretty cheap investment for the amount of paper…and the box seems to last for a couple of years at least. I wanted the paper to be a square in order to find the center and create the polar graph paper. Once I folded to create the square, I thought, why not use the flap for added info. Here is my prototype that I had posted on the front white board.
I then wrote up the directions, including a chart for my students to record the r-values for their equation. I did not tell them the names of the graphs, just handed out various equations; each student got a unique one. I was ambitious with what I wanted them to do afterwards (and we didn’t get that far), but I would keep the “interesting facts” part of the activity.
Then I handed out the directions and away they went. I had hoped they would finish in the class period, but some of my students are very meticulous so it took a while for them to create the polar graph paper on the poster. I am still pondering how to improve that aspect of the activity. Anyway, here are some photos of the activity in progress:
Hopefully they will finish on Monday. Happy Week-end