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University of Nottingham
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Generalising patterns: table tiles
This resource requires problem solving skills to identify linear and quadratic relationships in a realistic context.
Students investigate covering square table tops with three types of tile; square tiles, half tiles, and quarter tiles. They create examples and then identify the resulting sequences.
Examples of student work are provided to allow for peer assessment and highlighting common misconceptions. Several different approaches are given in the student work, demonstrating a variety of problem solving techniques.
The work assumes that students will be familiar with writing the nth term rule for a linear sequence and have some familiarity with quadratic sequences.
This is a problem solving lesson from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. Further information on the collection is given here.
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