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9 of the Best Factorising Quadratics Worksheets and Resources for KS4 Maths

Improve your secondary students' algebra skills by factorising quadratic equations with these lesson plans, activities, ideas and printouts...

  • 9 of the Best Factorising Quadratics Worksheets and Resources for KS4 Maths

1 | Let students construct their own quadratic equations

This lesson plan from Colin Foster helps students become confident and fluent with techniques such as factorising quadratics by offering a scenario in which they need to construct their own quadratic equations in order to solve a bigger problem…

Download this free lesson plan PDF here.


2 | Factorising quadratics

This video from the ever reliable Corbettmaths is a good guide for students on factorising quadratics, and runs through some examples in a straightforward and easy-to-follow manner.

This video is part one on factorising quadratics you can also watch the more-advanced follow-up in part two.


3 | Corbettmaths worksheets

Once you’ve watched the videos head on over to corbettmaths.com where you’ll find worksheets of exam-style questions and textbook exercises for each one.

Here are the links:

Find all this and more at corbettmaths.com.


4 | PixiMaths PowerPoint lesson

This is a two-part factorising quadratics lesson from PixiMaths. The first activity focuses on factorising quadratics where the coefficient of x^2 is 1, followed by a second where the coefficient is greater than 1.

Both lesson parts are fully differentiated with examples and answers. The lesson starts with a product and sum activity to get students thinking about possible pairs of numbers.

There’s a PowerPoint lesson, and then printable Word doc worksheets for activity one and activity two

You can find all of this here.


5 | Use quadratic equations to bring together mathematical techniques

Quadratic expressions are considerably more complicated to work with than linear expressions, and students often find them hard to handle. Students may carry out factorising of quadratics by applying poorly-understood procedures that make little mathematical sense to them, and this can be especially so when it comes to non-monic quadratics (those where the coefficient of x2 is not 1).

In this lesson, students approach factorising non-monic quadratics by trying to find factorisations which will expand and simplify to produce a quadratic expression of a specified form. This entails lots of useful practice at expanding pairs of brackets and collecting like terms, and also gives opportunity for students to unpick what is going on, so as to gain insight into how the inverse process of factorising works.

Get this lesson plan here.


6 | Online test

Maths Made Easy has a short online test which students can do at home or in class. There’s no sign up needed and you can check each answer (with explanations) as you go to make sure you’re on the right track.

Give it a go here.


7 | Factorising quadratics unit

In this unit of work students will learn how many quadratic expressions can be factorised. It’s all available in one PDF with examples and exercises at each stage.

You can find it at mathscentre.ac.uk here.


8 | Six methods for factorising quadratics

These resources from Dr Frost Maths cover six different methods of factorising quadratics and other types of expressions (eg cubics), the last two of which are extension:

  • Factorising out a single term
  • Factorising expressions of the form x^2 + bx + c,
  • Difference of two squares
  • Expressions of the form ax^2 + bx + c (where a is not 1)
  • ‘Intelligent guessing’ (eg bx - x + ab - a = (x + a)(b - 1))
  • Pairwise factorisation. Includes expressions which require multiple types of factorisation

Download all this here.


9 | More worksheets


If you’re still after more worksheets here are a bunch of links for you:

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