### Slide

This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.

### Loch Ness

Draw graphs of the sine and modulus functions and explain the humps.

### Complex Countdown

Play a more cerebral countdown using complex numbers.

# Squareness

##### Stage: 5 Challenge Level:

(1) Consider each quadrant separately or use a symmetry argument.

(2) Write $2^{1/n} = 1 + \delta$ and use the Binomial Theorem.

(3) Consider the symmetry of the graph and the point at which it cuts the line $y=x$.

(4) Use the result of (3) and a symmetry argument.