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?