Expanding and Factorising Quadratics: Full GCSE Maths Lesson

A complete, ready to teach GCSE maths lesson on expanding double brackets and factorising quadratics. 31 fully editable slides with teacher notes on every slide.

The lesson builds step by step from single brackets to factorising quadratics:

• Learning objectives at three levels: must, should and could
• Warm up on single brackets, multiplying negatives and number pairs, with answers
• Key words: expand, factorise, quadratic and coefficient
• The grid method for expanding double brackets, with FOIL shown as an alternative
• Three worked examples on expanding, including negatives and (2x + 1)(x − 3), then six “your turn” questions
• Factorising x² + bx + c using the two number rule, plus the difference of two squares
• A practice set on factorising fully, with answers
• Problem solving: the area of a garden and a photo frame
• An exam style question (6 marks) with a mark scheme
• Common mistakes, an exit ticket with answers and a key points summary

Every question has a worked answer slide, and the x² term, x terms and number term are colour coded on every grid so students can see where each part of the answer comes from. All diagrams are drawn as editable PowerPoint shapes.

Suitable for Year 9 to Year 11, Foundation and Higher tier, for AQA, Edexcel and OCR GCSE Maths.

If you find it useful, please leave a review. Also in the series: Pythagoras’ Theorem, Trigonometry (SOHCAHTOA) and Area and Circumference of Circles.