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?

Magic Circles

Why do this problem?

This problem gives pupils chance to practise addition and subtraction, but also gives opportunities for conjecturing, proving and generalising.

Key questions

Which numbers are on both the blue and red circles?
What does this tell you about the other four numbers?
What have you tried so far?

Possible extension

Encourage learners to ask their own "What if ...?" questions and to pursue answers to them.

Possible support

It might help to have a copy of the circles printed out or drawn on paper/a miniwhiteboard and for children to use digit cards to move around in the different positions.