### Vector Walk

##### Stage: 4 and 5 Challenge Level:

Starting with two basic vector steps, which destinations can you reach on a vector walk?

### Painting by Functions

##### Stage: 5 Challenge Level:

Use functions to create minimalist versions of works of art.

### Trig Reps

##### Stage: 5 Challenge Level:

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

### Polar Bearings

##### Stage: 5 Challenge Level:

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

### Maths Shop Window

##### Stage: 5 Challenge Level:

Make a functional window display which will both satisfy the manager and make sense to the shoppers

### Hyperbolic Thinking

##### Stage: 5 Challenge Level:

Explore the properties of these two fascinating functions using trigonometry as a guide.

### Sheep in Wolf's Clothing

##### Stage: 5 Challenge Level:

Can you work out what simple structures have been dressed up in these advanced mathematical representations?