Exploring Polar Equations

Polar Graphing Project: TEST GRADE!!! Name ______Due Date: Wednesday December 13th by 4:30pm

You will be graphing a unique polar picture using the criteria and equations below. There will be 3 parts: writing your equations, completing the tables for your equations, and graphing your equations. Turn in all three pages stapled together with Part 3 ON TOP.

PART 1: (20 points) First, Follow these rules for selecting your values of a, b, c, and d and then write your equations. Simplify your “c” and “d” values in your equations.

8 ≤ a ≤ 10 b = 4 c = a – 1 d = b – 2

a = ______b= ______c = ______d = ______

Graph 1: r = a cos(b) your equation: ______

Graph 2: r = c sin(d) your equation: ______

Graph 3: r = a your equation: ______

Part 2 : (30 points) Make sure your calculator is in Polar and Degree Mode and put your equations in y=. Use the table feature of your calculator to help you generate the points you need for your three graphs. To change the table setup press 2nd  WINDOW. Round r values to one decimal place. You will graph and color each of the 3 graphs on the SAME polar paper provided on next page.

GRAPH 3: Fill in the table, plot each point, and connect with a smooth BLACK curve. r = a  r = 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 315 330 345 360

NAME ______

Part 3 (50 points): Graph each polar equation by plotting the points from your table (40 points) (Remember to connect your points (with a smooth black curve) in the order that you plot them)

Color your final picture however you like. Be creative! (10 points)