Students review the concepts of polar functions: finding polar and rectangular coordinates, extrema, tangent lines, area, and arc length. (Yes, I realize polar arc length is not on the BC Calculus test, but parametric arc length is so polar arc length is fair game and its formula is easier to use than the parametric formula when applied to polar curves!) The students complete all the formulas on the outside of the foldable and work an example of each inside the foldable. The examples are calculator intensive because I find my students need practice with all the parentheses that are needed in inputting polar equations. This is a great review putting all the polar information together.
All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book. Hope this is helpful. Enjoy!
My students encounter this concept in our calculus textbook in Ch. 10 on polar and parametric functions thus the numbering 10-1.
More foldables specifically related to BC Calculus topics:
Calculus Foldable 9-1: Sequence Review for Calculus
Calculus Foldable 9-2: Infinite Series Convergence Tests
Calculus Foldable 9-3: Common Functions as Power Series
Calculus Foldable 12-1: Motion Problems in BC Calculus
The Calculus of Polar Functions © 2018 by Fan’s Math