2.37 Non-Monic Completing the Square Higher GCSE PowerPoint Lesson

This 34-slide lesson goes into full coverage of non-monic (coefficient of x^2 does not equal one) completing the square. This includes completing the square, identifying turning points and solving by completing the square. This lesson should be introduced once students are comfortable with completing the square for monic expressions. The visual link between algebra and graph shape is emphasised with turning points to deepen understanding. As a challenge, students will complete the square for non-monic quadratics that are rearranged, mirroring IGCSE and A Level exam style questions.

This content is on 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.