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

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Cuisenaire Rods

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

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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?

Circles, Circles

Stage: 1 and 2 Challenge Level: Challenge Level:1
 

Here are some circles which are coins, counters, and rings. I used 10 coins, 19 counters, and 12 rings.

I wonder how many coins, counters, and rings I would need to make the next size up for each?

What is your idea of the 'next size up'?

My shapes are a triangle, a hexagon, and a rectangle.

What shapes could you make by putting circles together?

How many would you use?

How many would you need for the next size up?