This resource has a grid with the four types of polar graphs (Circles and Spirals, Limaçons/Lemniscates, Roses, Polar Conics) and equations for specific graphs. On another sheet, there are 15 graphs for the students to cut out and place (or glue) in the correct spot on the chart.
I have used this resource in two different ways, both at the beginning of the graphing lesson. First I have given them the chart and each student slips of paper to glue into the correct spot using their graphing calculator. Then we write notes onto the sheet about the specific graphs and what is going on. The second way is to have them work in pairs. I print out the sheet and laminate it along with the cards. They work together to place the graphs in the correct spot and then come up with what they see happening in each graph. For this I usually white out some of the characteristics that are in the first box if they are what I want them to discover. I then collect the cards and print out the answer sheet portion of this activity to give them each one for a note sheet and then we discuss what they found and put that information on the note sheet.
Have a different idea? Please share!