Expanding and Factorising Quadratics PowerPoint: Premium GCSE Lesson

A complete, ready to teach GCSE maths lesson on expanding double brackets and factorising quadratics. Students use the grid method to expand brackets such as (x + 3)(x + 2), then reverse the process to factorise x² + bx + c and the difference of two squares. The x² term, the x terms and the number term are colour coded on every grid, so students can see where each part of the answer comes from.

• 31 slides
• About 60 minutes
• All answers included
• Teacher notes on every slide
• Editable diagrams

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What the lesson covers

1. Learning objectives at three levels: must, should and could.
2. Warm up on single brackets, multiplying negatives, x × x and number pairs, with answers.
3. Key words: expand, factorise, quadratic and coefficient.
4. The grid method for expanding double brackets, with FOIL shown as an alternative.
5. Expanding: three worked examples, including negatives and (2x + 1)(x − 3), then six your turn questions with answers.
6. Factorising: the two number rule for x² + bx + c, worked examples and the difference of two squares.
7. Practice: factorise fully, with a full answer slide.
8. Problem solving: the area of a garden and of a photo frame, written as expressions and factorised.
9. Exam style question (6 marks), including a show that part, with a mark scheme.
10. Common mistakes, an exit ticket with answers and a key points summary.

Who it is for

GCSE maths, Foundation and Higher tier, and a strong Key Stage 3 class. It sits well alongside our premium Pythagoras’ theorem lesson and premium circles lesson.

Download this PowerPoint free (.pptx)