# Advanced Problem Solving Module 20

### Advanced Problem Solving Module 20

What are polar coordinates, and how can we use them to solve STEP and other advanced mathematics examinations problems?

##### Age 16 to 18 Challenge Level:

What on earth are polar coordinates, and why would you want to use them?

##### Age 16 to 18 Challenge Level:

Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph.

##### Age 16 to 18 Challenge Level:

This polar equation is a quadratic. Plot the graph given by each
factor to draw the flower.