### Exploring Diagonals

Move the corner of the rectangle. Can you work out what the purple number represents?

### Drawing Polygons

I wonder which polygons we can draw on dotty paper...

### Drawing Squares

Take a look at the video showing squares drawn on dotty grids...

# Vectors Round a Square

##### Stage: 3 and 4

Here is a diagram showing how vectors can describe a journey round a square:

The journey starts along the black vector $\pmatrix{3\cr 1}$
What vectors describe the rest of the journey?

There are many interesting mathematical questions about vectors that describe journeys.

Explore journeys round various squares of your own and see what you can find out.

If you would like some ideas of interesting questions to explore, take a look below.

What happens if I add vectors together?

What is special about opposite sides of the squares?