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University of Nottingham
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Modelling motion: rolling cups
This resource requires problem solving using skills in both applying geometrical concepts and modelling a situation using functions.
Students investigate rolling cups of different shapes and dimensions. They use ideas of similarity to link together the wider diameter with narrow diameter, slant length, and roll radius. By creating systematic tables of values, students derive a formula for the roll radius and then test in on further examples.
A full rubric is given for the task.
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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