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Visualising and representing - primary students

Exploring and Noticing is part of our Thinking Mathematically collection.

Let's assume that you are on a problem-solving journey, and have been exploring and noticing, working systematically, and have conjectured and generalised. What next...?

Mathematicians try to make sense of what they've discovered, before formalising their results with justifications and proofs.

The problems below will encourage you to look for connections, and try to gain insights into mathematical structure, by turning to visual images, numerical representations and perhaps algebraic representations.