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These are the Transum resources related to the statement: "Pupils should be taught to {interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of instantaneous and average rate of change (gradients of tangents and chords) in numerical, algebraic and graphical contexts}".

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

- Differentiation Practise the technique of differentiating polynomials with this self marking exercise.
- Differentiation Video A reminder of how to differentiate different types of functions and how to find the equations of tangents and normals.
- Graph Paper Flexible graph paper which can be printed or projected onto a white board as an effective visual aid.

Here are some exam-style questions on this statement:

- "
*The following diagram shows a distance-time graph of the movement of a fish.*" ... more - "
*The graph shows the temperature (\(T\)) of an unidentified flying object over a period of 10 seconds (\(t\)).*" ... more

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

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.