Solving quadratic equations by using the formula
I can solve quadratic equations algebraically by using the formula.
Solving quadratic equations by using the formula
I can solve quadratic equations algebraically by using the formula.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The quadratic formula can be derived from the general form of a quadratic equation.
- It can be derived by completing the square.
- The formula is useful when the quadratic cannot be easily factorised.
- Technology can be used to identify solutions and is useful for checking.
Keywords
Quadratic formula - The quadratic formula is a formula for finding the solutions to any quadratic equation of the form ax^2 + bx + c = 0
Common misconception
Mistakes often occur when substituting into the quadratic formula with calculators, as pupils miss out brackets and change the priority of operations.
Values should always be put in brackets when substituted. This avoids mistakes when squaring and subtracting negative values. It also makes it easier to change the values of a , b , and c when working on a new question.
To help you plan your year 10 maths lesson on: Solving quadratic equations by using the formula, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Solving quadratic equations by using the formula, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Algebraic manipulation unit, dive into the full secondary maths curriculum, or learn more about lesson planning.