Students learn how to use function notation to transform graphs by a translation and stretch. As learning progresses they calculate composite and inverse functions. Finally, students are challenged to solve equations through interation and calculate a rate of change along a non-linear graph using differentiation.
Before progressing on to working with functions students should have a good understanding of solving quadratic equations and trigonometrical graphs. This is the final topic in the higher GCSE course as it takes place in Year 11 Term 3.
How to introduce the sin, cos and tan trigonometric identities.
How to teach calculating the original amount after a percentage change.
The importance of the range when comparing comparing datasets.