Myths about teaching can hold you back
- Year 10•
- Higher
Factorising quadratics of the form ax^2 + bx + c
I can factorise quadratics of the form ax^2 + bx + c.
- Year 10•
- Higher
Factorising quadratics of the form ax^2 + bx + c
I can factorise quadratics of the form ax^2 + bx + c.
Lesson details
Key learning points
- For these cases, there are restrictions on how you decompose the x term.
- Using the area model can show why this is.
- By considering the structure, you can deduce how to decompose the x term.
Keywords
Factorise - To factorise is to express a term as the product of its factors.
Quadratic - A quadratic is an equation, graph, or sequence whereby the highest exponent of the variable is 2
Common misconception
Believing the constants in the binomials must sum to the coefficient of x and multiply to the constant in the quadratic.
Use an area model to show what is happening when the coefficient of x^2 is not 1. Pupils should always check their answers by expanding.
To help you plan your year 10 maths lesson on: Factorising quadratics of the form ax^2 + bx + c, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Factorising quadratics of the form ax^2 + bx + c, 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.
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