Quadratic equations
KS4 · 30 minutes · Solve quadratics by factorising and by formula.
Answer by: Type. You can change method or take a break at any time.
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Our learning goal
Solve quadratics by factorising and by formula.
Your turn: Choose one thing you would like to understand by the end.
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My lesson notes & project
Full teaching script
- Today: Quadratic equations. Our goal: Solve quadratics by factorising and by formula.
- Take one idea at a time. Pause after each sentence; ask for repetition whenever you need it.
- For x² + bx + c, find two numbers multiplying to c and adding to b. x² + 7x + 12 → 3 and 4 → (x+3)(x+4) → x = −3 or −4. When it won't factorise, use x = (−b ± √(b² − 4ac)) / 2a.
- Together: choose one example from the explanation and show how it works. What do you notice?
- Your turn: Solve x² − 5x + 6 = 0 by factorising and 2x² + 3x − 4 = 0 by formula.
- Reflect: what made sense, and what would you like explained differently?
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