Making Connections

Making connections

These problems from Underground Mathematics encourage you to use and make connections between areas of mathematics.

Parabella

Stage: 4 and 5 Challenge Level:

Can you prove an algebraic statement using geometric reasoning?

Slices of Pi

Stage: 5 Challenge Level:

How are $\sin x$, $\cos x$ and $\tan x$ related to each other? Can you make sense of the the 'slices'?

Rotating Derivatives

Stage: 5 Challenge Level:

By considering a point on a unit circle, can you use geometry to find the derivatives of $\sin x$ and $\cos x$?

Can You Find... Asymptote Edition

Stage: 5 Challenge Level:

Can you work out the equation of the function from its graph?