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University of Nottingham
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Modelling: hot and cold
This problem solving resource is intended to help students compare two linear functions as approximations to the relationship between Celsius and Fahrenheit temperature and consider under what circumstances each of the approximations may be reasonable.
The two methods given are
‘To convert from Celsius to Fahrenheit just double and add 30‘
and
‘Double the Celsius temperature to get the Fahrenheit temperature’.
Students are given six actual conversions and are asked to assess the accuracy of the approximations. There is a free choice as to how this is accomplished. Once students have attempted the problem for themselves, there are then are two examples of student work for peer assessment. The resource contains questions that students could tackle in assessing the student work.
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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