Includes integration which results in inverse hyperbolics and inverse trig functions. (I've chosen to do this with definite integration instead of indefinite integration, so that the students can't solve the puzzle by differentiation of the solutions, they must integrate)
An introductory activity for AS students or an activity for GCSE students, looking at the different ways that gradient can be expressed, using the context of real roads
This is designed as a Year 12 (or Year 11) revision or consolidation activity, looking at all the different ways that we can find the turning point of a quadratic