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University of Nottingham
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Comparing lines and linear equations
This resource develops the concept of interpreting speed as the slope of a linear graph. There is also work on translating between the equation of a line and its graphical representation.
Students consider a graph drawn to model the flow between two identical right rectangular prisms. There are subsequent questions on how the starting situation could be changed to give a different gradient. There is then a matching exercise where sets must be collected in threes; an equation for a line, a graphical representation, and a picture showing liquid flowing between two containers.
There are pre-lesson and post-lesson formative assessment tasks. The task is related to a fund raising race, with amount of money raised graphed against distance run. Detailed teacher notes give suggestions on questioning and how to use the resources. Full solutions are given for each of the sections.
This is a concept development 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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