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.

$5.07

One-time purchase. Instant digital download.

🎓

Better value with membership Get unlimited access to this and every other resource across all subjects and year groups — for one low monthly price.

⭐ Get Unlimited Access — Members Only

✅ Instant Access

💻 Any Device

🔒 Secure Checkout

♻️ Use Anytime

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