# 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?

### Polar Bearings

##### Age 16 to 18Challenge Level
What on earth are polar coordinates, and why would you want to use them?

### Maltese Cross

##### Age 16 to 18Challenge 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.

### Polar Flower

##### Age 16 to 18Challenge Level
This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.