### The Lily Pond

Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?

### Coordinate Tan

What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?

### A Cartesian Puzzle

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

# Coordinate Cunning

##### Age 7 to 11 Challenge Level:

This is a game for two players.

You will need:
A blue pencil and a red pencil.
A sheet of dotted paper.

The aim:
To get four dots of your colour in a line.

To play:
Together, decide where to place the origin (0,0). It can be on any of the points on the board.

Next, choose who will be blue and who will be red.

Blue goes first and chooses a point. Blue has to write down the coordinates of the point in relation to the origin. If they get the coordinates of the point wrong, they don't get that point.

What are the coordinates of the point that Blue has chosen here?

Then Red chooses a point and gives its coordinates.

Keep playing until one person has four dots in line of their colour!