Factoring quadratics worksheet – Best KS4 resources and lessons
Improve your secondary students’ algebra skills by factorising quadratic equations with these lesson plans, activities, ideas and printouts…
- by Teachwire
Looking for a factoring quadratics worksheet, lesson plan or other resource? We’ve got you covered…
Factoring quadratics worksheets
This free eight-page, exam-style factoring quadratics worksheet is from Maths Genie.
Corbettmaths worksheets
The website corbettmaths.com features lots of factoring quadratics worksheets that take the form of exam-style questions and textbook exercises. Check out these links:
- Factorisation: quadratics – Practice Questions and Textbook Exercise
- Factorisation: quadratic (harder) – Practice Questions and Textbook Exercise
- Factorisation: difference of 2 squares – Practice Questions and Textbook Exercise
More factoring quadratics worksheets
- Create your own factorising quadratic expressions worksheet at Worksheet Math. Choose the number of problems and the difficulty level. You can also generate an answer sheet.
- Maths Made Easy has free worksheets for factorising quadratics (a = 1) and factorising quadratic (a > 1).
- Here’s another site that lets you generate your own worksheets. Choose the activity type, number of questions and whether to allow negatives.
- Cazoom Maths has a range of factorising worksheets, designed to help students conquer all types of equations from expanding the brackets to factorising quadratics.
- This one-sheet factoring quadratics worksheet features 12 questions to try.
- This worksheet from Miss B Resources features a helpful ‘TEAM’ mnemonic to assist students: Times to make the end value, add to make the middle value.
Factoring quadratics lesson plans
Let students construct their own quadratic equations
When learners are bored in maths lessons they sometimes ask, “When will we ever actually use this?”. But even topics that are unlikely to feature in everyday life can still be fun for learners to work on if they experience them as a puzzle to solve.
This lesson plan from Colin Foster offers a scenario where students need to construct their own quadratic equations in order to solve a bigger problem. Lots of practice happens along the way…
Quadratic equations lesson plan
Quadratic expressions are considerably more complicated to work with than linear expressions, and students often find them hard to handle.
In this lesson plan (with worksheet), 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. It also gives an opportunity for students to unpick what is going on, to gain insight into how the inverse process of factorising works.
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.
Factorising quadratics unit
In this unit of work from Mathcentre, students will learn how many quadratic expressions can be factorised. It’s all available in one ten-page PDF, with examples and exercises at each stage.
Factoring quadratics videos
Factorising quadratic with Corbettmaths
This video from the ever-reliable Corbettmaths is a good guide for students on factorising quadratic. It runs through some examples in a straightforward and easy-to-follow manner. You can also watch the more-advanced follow-up in part two.
The three types of quadratics
This Maths Made Easy video covers factorising quadratics (a = 1) plus an example of factorising simple quadratics.
Factoring quadratics online tests
In this online test, students need to factorise quadratic expressions, giving the smallest factor first in their answer.
