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This Quadratic Formula lesson teaches students to solve quadratic equations of the form ax² + bx + c = 0 by substituting the values of a, b and c into the quadratic formula. Across 15 slides, a full worked example solves x² − 7x + 8 = 0 step by step, showing exactly how to identify a, b and c and substitute them correctly.
Rather than presenting the formula as something to memorise blindly, the lesson shows where it comes from, linking it back to completing the square on the general form of a quadratic equation, so students understand the method rather than just applying it mechanically.
By the end of the lesson, students will be able to apply the quadratic formula to solve quadratic equations, and will have practised identifying key coefficients and following the correct steps to reach an accurate solution — a core GCSE algebra skill.
Once the formula is secure, it becomes a reliable fallback method for any quadratic equation, including the ones that don’t factorise neatly — making it one of the most dependable tools students carry into their GCSE exam.
The lesson is fully interactive and self-marking, with instant feedback on every question, making it suitable for first teaching or focused exam revision.
| 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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