
A complete, ready-to-teach 60-minute lesson on algebraic notation.
Students write products in algebraic notation and identify the coefficient, write powers and quotients in algebraic notation, and apply the order of operations to algebraic expressions. The big idea: a² is not 2a.
WHAT’S INCLUDED (all fully editable)
PowerPoint: 43 slides (6 hidden for extra practice and solutions)
Student workbook: every task in lesson order, with answer boxes and slide numbers
Teacher guide: a one-page summary, guidance for every slide, misconceptions and all answers, plus an “If you’re short of time” route and notes for supporting adults
Independent practice worksheet: Sets A–D, from fully scaffolded to reasoning, ending with problem-solver questions
One-page worksheet: a condensed version of Sets A–D, with a solutions page
LESSON STRUCTURE
Do Now: 4 interleaved retrieval questions, with answers on click and a 4-minute timer
Learning objectives, key words and a “Maths in careers” slide (economist, architect, software developer, engineer)
4 prior-knowledge hinge questions, with hidden back-up slides for when many students get them wrong
3 skills, each taught as I do → We do → You do, with 3 hinge questions per skill
Visual models: algebra tiles and area models for products, and squares for a²
A hands-on activity (a match-up card sort) that you can use instead of the Think, pair, share
Quick practice that tells each student which set to start on, 20-minute independent practice (Sets A–D), GCSE exam-style extension questions, an exit ticket and a greater-depth challenge
Built-in countdown timers. Every answer is checked.
Misconceptions tackled: thinking a² means 2a (a × a written as a + a); writing the number after the letter (a3) or letters out of order (5hg); squaring the coefficient too: treating 3a² as (3a)².
This is Lesson 4 of 8 in the Year 7 Unit 2 bundle (Algebraic notation & sequences).
Fits KS3 and the GCSE (9–1) Mathematics specifications from AQA, Pearson Edexcel, OCR and WJEC Eduqas, which all follow the DfE GCSE subject content. Not endorsed by AQA, Pearson, OCR or WJEC Eduqas. AQA, Edexcel, OCR and Eduqas are trademarks of their respective owners.
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