In this Nuffield activity students investigate how different numbers of squares can be joined corner to corner and the effect their arrangement has on the area of the rectangle that encloses the squares.

The key processes developed in this activity are:

*Representing - determining which aspects to investigate and record, using diagrammatic and other representations to further the investigation.

*Analysing - working systematically, making accurate mathematical diagrams, identifying patterns and beginning to make generalisations.

*Interpreting and evaluating - considering the findings to form convincing arguments and justifying generalisations.

*Communicating - explaining the approach taken and the outcomes at each stage of the work.

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