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Seven Squares

Age 11 to 14
Challenge Level Yellow starYellow star
Secondary curriculum
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How did Phoebe group the matchsticks that she drew?
How did Alice and Luke group their matchsticks?

For the follow-up activities, draw them out for yourself and notice how YOUR drawings develop.
Always begin with simple cases and try to PREDICT what will happen.

Look for patterns.
How can you describe the lines? Horizontal? Vertical?
Try to understand why the patterns develop in the ways that they do.

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How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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