Making Connections

Making connections

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

Parabella 

Age 14 to 18 Challenge Level:
Can you prove an algebraic statement using geometric reasoning?

Slices of Pi 

Age 16 to 18 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 

Age 16 to 18 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 

Age 16 to 18 Challenge Level:
Can you work out the equation of the function from its graph?