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# Representing - Advanced

### Vector Journeys

### Vector Walk

### Trig Reps

### Painting by Functions

### Polar Bearings

### Maths Shop Window

### Hyperbolic Thinking

### Sheep in Wolf's Clothing

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Age 14 to 18

Challenge Level

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Age 14 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

Use functions to create minimalist versions of works of art.

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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