GCSE Maths Functions and Iteration Topic Pack

GCSE Maths practice on function machines, function notation, composite and inverse functions, change of sign and iteration. The Core practice and the first six graded-workbook questions form a Foundation machine and algebra route. Developing, Higher and the formal-notation lesson are for AQA/Pearson Higher; OCR may use the notation as enrichment. The mini test gives a separate Foundation skills route for questions 1–4 (9 marks), while questions 5–11 are Higher.

Board scope: AQA 8300 and Pearson Edexcel 1MA1 assess formal function notation, composites, inverses and iterative formulae at Higher. OCR J560 covers Higher composition ideas without requiring formal function notation; its GCSE root approximation uses systematic sign-change methods rather than iterative-formula notation. Use the relevant sections for your board. Formal f(x) notation, composites, inverses and formula iteration are labelled HT in question sheets and quizzes; the lesson displays its audience on every slide.

What’s included:

• 15-page graded workbook with knowledge pages, worked examples, myth-busters, four levels of questions, an extended problem and full answers
• Flashcards and a knowledge organiser
• Core Foundation practice plus Developing and Higher notation practice sheets
• Exam-style mini test with mark scheme and a 9-mark Foundation skills route
• Two homework sheets, a Mistakes to Avoid sheet and five retrieval quizzes
• Two editable PowerPoint lessons: Function Notation; Composites, Inverses and Iteration
• Answer booklet for all activities

Independent resource, not endorsed by any exam board. Please review before classroom use.