Algebra Toolkit-a comprehensive GCSE maths Lesson Pack

This lesson takes GCSE students who already have basic algebra fluency and pushes them into genuinely higher-level territory: expanding and factorising, treated as two directions of the exact same skill. Students expand single and double brackets (using FOIL - First, Outer, Inner, Last), factorise back into single brackets with one and two variables, handle the sign-error-prone case of negative multipliers, and finish by applying everything to real contexts where they have to work out which tool a problem actually needs.
The lesson leans hard into the “toolkit” idea rather than teaching skills in isolation. A Think-Pair-Share has students expand an expression, then factorise their own answer straight back - landing exactly where they started, real proof that these two operations are genuine inverses. An exploration activity, Factorising Detective, has students catch a subtle but common exam-marking trap: a factorised expression that’s mathematically correct but not fully factorised. It all builds to the Garden Design Challenge, where groups expand double brackets to find a patio’s area and factorise a cost formula in the same real design - discovering along the way that the two answers connect in a way that’s satisfying rather than coincidental.
Includes the complete slide deck plus a full set of matching resources: Student Handout, tiered Independent Practice, the Garden Design Challenge, Peer Assessment, Exit Ticket, Loop Cards, Teacher’s Handout with a complete answer key, and a Teacher’s Lesson Plan with full timing across every phase of the lesson.