### Counting Counters

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

### Cuisenaire Rods

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

### Doplication

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

# Build it up More

##### Stage: 2 Challenge Level:
This is written as a follow-on from Build it Up.

You could extend what you did in Build it Up by thinking of it in 3D!

The circles would then be spheres.
Each numbered sphere would then sit on three underneath and the whole thing would end up being a triangular based pyramid.

So there would be six numbers (in an equilateral triangle) at the bottom, like this as an example:

Then the next layer up would be:

So the top layer would be:

You can explore finding a triangle of six numbers (we don't use zero!), add them in threes, to give a triangle of three numbers and those three numbers adding to 15.