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### Number and algebra

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# Caterpillars

Why not start with the caterpillar's head in one square and find different ways to lay out its body?

What is the same about all the different ways you have found? Why?

What differences do you notice? Can you explain them?

How will you know which ones you have found? How will you know you haven't got the same layout twice?

You could look at sums and differences in the numbers of one of your caterpillars.

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Age 5 to 7

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Why not start with the caterpillar's head in one square and find different ways to lay out its body?

What is the same about all the different ways you have found? Why?

What differences do you notice? Can you explain them?

How will you know which ones you have found? How will you know you haven't got the same layout twice?

You could look at sums and differences in the numbers of one of your caterpillars.

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?