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Factorisation Teacher Resources for Years 7-10
A complete set of teacher resources for factorisation, built for Years 7 to 10 algebra. Aligned to the Australian Curriculum v9.0, it covers highest common factor, grouping, factorising quadratics, difference of squares and perfect square trinomials, with editable worksheets, slides, lesson plans and assessments your students can work through in class.
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What's Included in the Teacher Resources for Factorisation?
🔥Curriculum Aligned
Mapped to the Australian Curriculum v9.0 and ready to drop into your Year 7-10 algebra unit. Each task moves from highest common factor and the distributive law up to factorising quadratics, trinomials and difference of two squares, so you can teach a full topic without rebuilding it from scratch.
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🌍 Differentiated for Students
Differentiated factorisation tasks for students at three levels. Lower-ability students practise spotting common factors and using the distributive law; on-level students factorise binomials and simple quadratics; extension students tackle non-monic trinomials, grouping in pairs and difference of squares, all on the same worksheet.
💡Incredible Teacher Resources
Every resource pack is built around the factorisation methods students actually need: taking out the highest common factor, factorising quadratics in the form x² + bx + c, grouping in pairs, difference of two squares and perfect square trinomials. Solutions are worked step by step so you can mark in minutes.
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Interactive Resources
Practice Questions
Lesson plans, slides, worksheets, question banks and assessments for factorisation, all on the same topic so they slot together as a unit. Use the slides to introduce a method, the worksheet for guided practice, the question bank for retrieval, and the assessment to check who has mastered it.
Structured Solutions
Differentiated Questions
Worksheets, slides and assessments covering every factorisation method on the Year 7-10 curriculum, including common factors, factorising algebraic expressions, factorising quadratics, trinomials and difference of squares. Students arrive at senior maths with the algebraic fluency they need.
Real-World Applications
Engaging Exercises
Tasks range from simplifying expressions with a common factor through to factorising quadratics and solving the resulting equations. Word problems show students where factorisation is actually used, including area, projectile motion and breaking numbers into prime factors.
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What's covered in the factorisation teacher resources?
Year 7-8: building the foundations of factorising
The Year 7 and 8 resources introduce factorisation as the reverse of expanding. Worksheets and slides start with finding the highest common factor of two or three terms, then move into factorising algebraic expressions using the distributive law, for example 6x + 9 = 3(2x + 3). Guided examples walk students through identifying common numerical and algebraic factors, with extra practice on negative leading coefficients. The accompanying assessments check that students can confidently take a common factor out of a binomial or trinomial before they meet quadratics in Year 9.
Year 9-10: factorising quadratics and beyond
The Year 9 and 10 resources cover the methods senior students rely on: factorising monic quadratics in the form x² + bx + c, non-monic quadratics using the cross or AC method, grouping in pairs for four-term expressions, difference of two squares and perfect square trinomials. Lesson plans give you a teaching sequence for each method, slides model the working step by step, and the question banks include enough practice to fluency without you sourcing extra problems. Assessments are written so students see fully factorised, partially factorised and incorrectly factorised expressions and have to explain the difference.
Real classroom applications of factorisation
Word problems put factorisation in context: finding the dimensions of a rectangle given its area, solving quadratic equations that model projectile motion, and breaking integers into prime factors to find lowest common multiples. These tasks help students answer the question every algebra class asks, "when am I ever going to use this", and they give NAPLAN-style extended-response practice for Year 9 students preparing for senior maths.
Save hours of planning with ready-made factorisation resources