Graphing Polar Equations:

As stated before: the people who take the most time to actually do the graphing by hand learn what they need to learn about polar graph behavior to be most successful with the Calculus. If you short-change this process, you're likely to be confused when we get to the Calculus of finding Polar areas. Trust me. Trust the process.
I will do an example (or two or three) and then give you time to work. I am deliberately keeping the tasks relatively small, because I want you to do them with care and thoughtfully!

Homework:

10.6.3: p. 697 #31-39 odd. I should see BOTH graphs, with arrows on the polar graph indicating direction as $LaTeX: \theta$ increases! (This direction will be clear after you have worked through examples with me.)
I strongly recommend watching the Organic Chemistry Tutor video linked below. (Convert his degrees to radians!)

Things you MUST (still still) KNOW:

$LaTeX: y=r\cdot\sin\left(\theta\right)$

$LaTeX: x=r\cdot\cos\left(\theta\right)$

LaTeX: x^2+y^2=r^2

$LaTeX: \tan\left(\theta\right)=\frac{y}{x}$

Resources:

Patrick Math, Part 1:

Patrick Math, Part 2:

Link

The Organic Chemistry Tutor provides a thorough (hour long!) set of examples of the essential polar curves.