Factorising a quadratic expression
I can factorise quadratics of the form x^2 + bx + c
Factorising a quadratic expression
I can factorise quadratics of the form x^2 + bx + c
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The distributive law can be used to find the two factors of a quadratic expression with three non-zero terms.
- An area model can be used to explore the underlying structure.
- You can check your factors by finding the product and checking it against the quadratic.
Keywords
Factorise - To express a term as the product of its factors.
Quadratic - A quadratic is an equation, graph, or sequence whereby the highest exponent of the variable is 2
Common misconception
Pupils often get signs the incorrect way round in the binomials. E.g. (x+2)(x-4) instead of (x-2)(x+4)
Encourage pupils to always expand their binomials to check they are correct. Using representations such as an area model should reduce the likelihood of this as pupils focus on the structure and reason behind their choices.
To help you plan your year 10 maths lesson on: Factorising a quadratic expression, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Factorising a quadratic expression, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Algebraic manipulation unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions