### Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

### Construct-o-straws

Make a cube out of straws and have a go at this practical challenge.

### Cereal Packets

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

# Counting Counters

##### Stage: 2 Challenge Level:

Take a counter and surround it by a ring of other counters that MUST touch two others. How many counters do you need to do this?

Imagine surrounding this ring with more counters.
How many more counters are needed now?
How many counters will there be altogether?

Were you right?

What about a bigger ring? And another? And another?

How many counters will there be in the $9$th ring?
How many do you think there will be in the $100$th ring?
How would you predict how many counters there will be in any ring?