Prior Content: Expanding Brackets, Properties of Numbers, Basic Operations +-x/

Possible Next Steps: Solving Quadratics, Algebraic Fractions, Completing the Square

Contents

1.1 Single Bracket Basics

Teaching Videos, Exercises & Activities
Tutorial Videos

Courtesy of Maths Genie

Corbettmaths Factorisation

Hegartymaths Video

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

Whole Topic Video

K348: Factorising by Taking a Common Numeric Factor Out.

K349: Factorising by Taking a Common Algebraic Factor Out.

K350: Factorise by Taking a Common Algebraic Factor Out Involving Index Laws.

Dr Frost Slides & Activities
Topic Test
Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 348 Factorising by Taking a Common Numeric Factor Out.
  • 349 Factorising by Taking a Common Algebraic Factor Out.
  • 350 Factorise by Taking a Common Algebraic Factor Out Involving Index Laws.
  • Combination of All

Factorising Key Skills Section (for selecting more than one)

Further Practice
Extension Materials
Worksheets

1.2 Brackets as Factors (AQA Level 2)

Teaching Videos, Exercises & Activities
Tutorial Videos

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
  • Dr Frost Slides, Worksheets & Homework
Topic Test
  • Standard Test
  • Advanced Test
Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

Factorising Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
Extension Materials
Worksheets

2.1 Factorising Quadratics

*Remember to always look for common factors before jumping in to double brackets!

TEACHING VIDEOS, EXERCISES & ACTIVITIES

This is a huge topic and some resources are produced covering all possibilities at once. For more broken down resources, including Dr Frost exercises, see the sub-sub-topics in the following 3 sections.

Tutorial Videos

Courtesy of Maths Genie

Corbett Maths Factorising Quadratics 1

Cognito

WW

Common Factors

Common Factos before factorising (WW)

A-C Method

Introducing the AC method early (WW)

Online Platforms (with Videos & Exercises)
MME
Activities & Resources
Worksheets
Dr Frost resources
Dr Frost Video

Whole Topic Video

K384: Factorise Quadratics of the Form x2±bx±c.

Download Slides & Activities
All-in-one sheet
Extra Questions
Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 384 Factorising Quadratics of the Form x2±bx±c.

Factorising Key Skills Section (for selecting more than one)

Further Practice
EXTENSION MATERIALS

2.1.1 Factorising Quadratics (++)

*Remember to always look for common factors before jumping in to double brackets!

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

WW From 4:35 to 7:01

Worksheets
Dr Frost resources
Dr Frost Video

K381: Factorising Quadratics of the Form x2+bx+c.

Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 381 Factorising Quadratics of the Form x2+bx+c.

Factorising Key Skills Section (for selecting more than one)

EXTENSION MATERIALS

2.1.2 Factorising Quadratics (-+)

*Remember to always look for common factors before jumping in to double brackets!

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

WW From 7:01 to 10:10

Worksheets
Dr Frost resources
Dr Frost Video

K382: Factorise Quadratics of the Form x2−bx+c.

Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 382 Factorising Quadratics of the Form x2−bx+c.

Factorising Key Skills Section (for selecting more than one)

EXTENSION MATERIALS

2.1.3 Factorising Quadratics (negative c)

*Remember to always look for common factors before jumping in to double brackets!

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

WW From 10:10 to 14:47

Worksheets
Dr Frost resources
Dr Frost Video

K383: Factorise Quadratics of the Form x2±bx−c.

Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 383 Factorising Quadratics of the Form x2±bx−c.

Factorising Key Skills Section (for selecting more than one)

EXTENSION MATERIALS

2.2 The Difference of Two Squares

*Remember to always look for common factors before jumping in to double brackets!

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

Courtesy of Maths Genie (From 10:24)

Corbett Maths Difference Between Two Squares

Exam Solutions video

Mathbyfives genuinely one of my favourite video producers ever, and am sad it took me until 2021 to discover them (but I would recommend watching one of the other above first to ensure you have a good understanding).

Online Platforms (with Videos & Exercises)
Worksheets
Dr Frost resources
Dr Frost Video

Whole Topic Video

K385: Factorise the Difference of Two Squares.

K386: Factorise the Difference of Two Squares After Taking a Common Factor Out.

Download Slides & Activities
Topic Test
Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

Factorising Key Skills Section (for selecting more than one)

Further Practice
EXTENSION MATERIALS

Stand Up Maths video looking into representing all odd numbers as the difference of two squares and link to nrich activity on the same idea. There are also some resources on this on think-maths.co.uk

  • Mathteacher.com.au Some really nice questions with taking out common factors first
  • Worksheet by School District No. 43 (Coquitlam)
  • Brilliant.org page on extending understanding to more complex scenarios, including a lovely animation at the top

2.3.1 Looking for Common Factors Before Factorising

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

Factorising Quadratics with a Common Factor by Maths by Fives

Factorising Quadratics with a Common Factor by Euler’s Academy

Factorising Quadratics with GCF by Sheldon Collier

Ex: Factor and Solve Quadratic Equations by Mathispower4u

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost resources
Dr Frost Video

Download Slides
  • Dr Frost Slides, Worksheets & Activities (Slides 25-34)
Extra Questions
  • Standard Test
  • Advanced Test
Extra Questions
  • Dr Frost Questions
Key Skills

No Key Skills Yet

Further Practice
  • Practise Questions
EXTENSION MATERIALS

2.3.2 Factorising When ‘a’ Does Not Equal 1

*Remember to always look for common factors before jumping in to double brackets!

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
By Inspection

Corbettmaths by inspection

A-C Method (splitting)

Courtesy of Maths Genie

Corbett Maths Splitting the Middle Term

Alternative Method

Courtesy of Maths Genie

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost resources
Dr Frost Video

Whole Topic Video

K387: Factorise Quadratics of the Form ax2+bx+c.

Download Slides
Extra Questions
Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 387 Factorise Quadratics of the Form ax2+bx+c.
  • 720 Factorise a Quadratic Expression Using a Substitution.
  • 765 Fully Factorise a Quadratic of the Form ax2+bx+c.
  • K195b Factorise Quadratics of the Form ax2−bx+c.
  • K195c Factorise Quadratics of the Form ax2±bx±c.
  • Combination of All

Factorising Key Skills Section (for selecting more than one)

Further Practice
EXTENSION MATERIALS

Whole Topic Summary Resources (Including Past Paper Questions)

WW AQA GCSE Factorising
WW Edexcel GCSE Factorising
WW OCR GCSE Factorising
WW Edexcel IGCSE Factorising

Download Factorising PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)

Other Whole Topic Resources

Activities & Resources
Worksheets