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Factorising Quadratic Expressions ax² + bx + c — Interactive Lesson (Ages 14–16)

☆☆☆☆☆ Add your review • Year 10–11 • 🎓 Interactive Lesson & Activities
A 14-slide interactive KS4 lesson on factorising quadratic expressions, including those where the coefficient of x² is not 1, with worked examples and self-marking questions.

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Lesson at a glance

What pupils will learn

  • Take out common factors first
  • Factorise ax² + bx + c by splitting the middle term
  • Check by expanding

Curriculum

UK
Year 10–11 Maths, National Curriculum (England)
Topic area
Algebra
US equivalent
Grades 9–10 (year level only; not mapped to US standards)

How it is interactive

  • 8 multiple-choice questions
  • 3 fill-in-the-blank questions
  • 1 true or false question

Feedback and what you get

Questions are marked automatically as pupils answer: a sound and a character reaction show straight away whether they are right, and correct answers earn points, with a results screen at the end.

A 16-slide interactive lesson that runs in any web browser on a computer, tablet or interactive whiteboard. Members open it online from their year group page. Buying it on its own gives you a .zip download to unzip and open.

Free preview: try the first slides before you decide. Included in every Skoolmaths plan.

Stuck when the number in front of x² isn’t 1? This 14-slide interactive lesson teaches factorising quadratic expressions step by step, from x² + bx + c to ax² + bx + c.

Mastering Factorising Quadratic Expressions at GCSE

Students recap factorising when the coefficient of x² is 1, including expressions with negative numbers, then move on to expressions where it is not 1. A worked example factorises 2x² − x − 3 into (2x − 3)(x + 1), showing how the possible factor pairs combine to give the middle term. Students then complete factorisations such as 3x² + 14x + 8 and 8x² − 6x + 1 and choose the correct factorised form.

What’s Included

  • 14-slide interactive lesson on factorising quadratic expressions
  • Learning objectives on the concept of factorisation and negative numbers
  • A worked example factorising 2x² − x − 3
  • Complete-the-factorisation and multiple-choice questions
  • Self-marking questions with instant feedback

Key Benefits for Students

  • Shows how to find the factor pairs and test the middle term
  • Covers negative numbers, a common stumbling block
  • Moves from x² + bx + c to ax² + bx + c
  • Instant feedback on answer questions

Why Teachers Love It

  • No prep — ready for whole-class teaching on an interactive whiteboard
  • Worked examples model how to set out each factorisation
  • Self-marking questions support independent practice
  • Suits teaching, revision and homework
  • A useful stretch for confident students

Love this? You’ll love…

A dependable addition to a GCSE algebra topic, giving students a clear method for a skill many find difficult. Secure factorising also underpins solving quadratic equations and simplifying algebraic fractions.

Build confident factorising skills today — Add to Basket.

FAQ

What year group is this for? Years 10–11 (ages 14–16), GCSE.

Does it cover ax² + bx + c where a is not 1? Yes — with worked examples and practice.

Is it self-marking? Yes, with instant feedback on the questions.

Year Groups Year 10–11
Resource Type 🎓 Interactive Lesson & Activities
Format Digital Only
Curriculum England & Wales — KS4 (Years 10–11)
Added 4 March 2026

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