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

Maltese Cross 

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.

Polar Flower 

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