Math Analysis Project: Graphs of Polar Equations

Math Analysis Project: Graphs of Polar Equations

Your next Project uses Polar Equations. You are to create an original design using your graphing calculator in POLAR mode (and DEGREE mode) that uses at least FOUR different polar equations. You may not count a simple circle or simple line as one of your 4 equations. Also, you may NOT have just 4 cardioids, 4 limacons, 4 roses, or 4 lemniscates (you can, however, have 1 of each of those types). Try some equations that we have not covered in class (like tangent, perhaps). Once you are happy with the original design you have created, give it a unique and creative name that describes your picture.

Next, and this is where most of your work will be done, you are to transfer your design from your calculator onto the graph paper provided. Your graphs must be as accurate as possible, and you can use the graphing calculator’s table of values to help you determine points to plot on the graph paper. Draw the individual graphs in PENCIL first, and then when you are satisfied with the graph, trace over the pencil with different colored magic markers (or colored pencils). Be sure to label the radii with the appropriate scale for your graphs. EACH EQUATION (AND ITS GRAPH) MUST BE IN A DIFFERENT COLOR.

You will be graded on the following: original design; appropriate, descriptive, and unique name; at least 4 polar equations; neatness; following directions; and accuracy of graphs.

Due Date: Thursday, February 24th