Factorising quadratics – Construct your own quadratic equations

What's included?

PDF lesson plan

Key Stage



Years 10-11


How can learners become confident and fluent with techniques such as factorising quadratics without simply ploughing through pages of exercises?

One way is to offer a scenario in which they need to construct their own quadratic equations in order to solve a bigger problem. Lots of practice happens along the way, while something a bit more interesting is going on.

Conclude the lesson with a plenary in which learners share their creations and show the
different expressions that they have constructed. How did they go about it? What problems did they
encounter? Could they explain to someone else how to do it?

Factorising quadratics learning objective

  • Practise solving quadratic equations by factorising while working on a deeper problem

Colin Foster is a Senior Research Fellow in the School of Education at the University of Nottingham, and writes books for mathematics teachers. Browse more factoring quadratics worksheets and more KS4 maths lesson plans from Colin Foster.

Factorising quadratics lesson plan
Factorising quadratics – Construct your own quadratic equations

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