2.55 Composite Functions Higher GCSE PowerPoint Lesson

In this 35-slide lesson, students will be introduced to composite functions by first revisiting substitution into single functions and reinforcing the idea of inputs and outputs. They will learn how to evaluate composite expressions such as f(g(x)), understanding that the output of one function becomes the input of another. Through guided examples, students will practise working from the inside out, carefully substituting and simplifying each step. The lesson also includes solving composite equations, where students are given the final output and must work backwards to find the original input. This develops fluency in function notation and prepares students for exam-style questions involving multiple steps.

This lesson is for the higher tier only.

The lesson includes:

• Clear, guided examples

• Discussion opportunities from Think, Pair, Share

• Mini whiteboard section to check understanding and clarify misconceptions

• Three structured tasks to practise key skills

• Challenge activity to extend and deepen learning

Perfect for engaging learners while reinforcing essential algebra concepts.