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These are the Transum resources related to the statement: "Pupils should be taught to understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y ; {construct and} interpret equations that describe direct and inverse proportion".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

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*The following table shows corresponding values for two variables \(x\) and \(y\).*" ... more - "
*(a) Sketch a graph on the axes below left that shows that \(y\) is directly proportional to \(x\).*" ... more - "
*At a constant temperature, the volume of a gas \(V\) is inversely proportional to its pressure \(p\). By what percentage will the pressure of a gas change if its volume increases by 15% ?*" ... more - "
*Which of the following statements are correct if \(xy = c\) and \(c\) is a constant.*" ... more - "
*If \(a\) is inversely proportional to \(b\) and \(b\) is directly proportional to \(c^2\) find a formula for \(a\) in terms of \(c\) given that \( a=20 \) and \(c = 4 \) when \(b = 8 \).*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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