Factorising

Introduction

Dr Frost Maths (includes slides and worksheets)

• Factorising

  • Yr9 - Yr8-FactorisingSingleTerm

    • Ex1 - e.g. 10𝑥^3 𝑦^2+5𝑥^2 𝑦^3+15𝑥^2 𝑦^2

    • Ex2 - higher powers

    • Ex3 - factorising with fractions

  • Yr9-11 - GCSE-FactorisingQuadratics

    • Ex1a - single bracket recap

    • Ex1b - harder single bracket e.g. (x+3)^2+4(x+3) 

    • Ex2 - factorising x^2+bx+c

    • Ex3 - difference of two squares

    • Ex4 - factorising ax^2+bx+c

    • Ex5 - combining techniques e.g. x^3−x=x(x^2−1)

    • Ex5 - extension - pair-wise e.g. x^3+2x^2−x−2=x^2 (x+2)−1(x+2) a 

    • Ex5 - extension - intelligent guesswork e.g. x^2+x^2+2xy+x+y =(x+y+1)(x+y)

• Expanding and factorising brackets - CP3 maths

Practice

Transum

• Factorising: Practise the skills of algebraic factorisation in this structured online self marking exercise. 

  • Yr8 - single bracket - levels 1-5 

  • Yr9 - double brackets - levels 5-9 

Corbett Maths (Answers)

• Factorisation   Video 117     Practice Questions      Textbook Exercise

• Factorisation: quadratics   Video 118     Practice Questions    Textbook Exercise

• Factorisation: quadratics harder   Video 119    Practice Questions    Textbook Exercise

• Factorisation: splitting the middle    Video 119a    Textbook Exercise

• Factorisation: difference of 2 squares   Video 120    Practice Questions   Textbook Exercise

Dr Austin Maths

Single bracket

• Factorising with Common Factors Fill in the Blanks (Editable Word | PDF | Answers)

• Factorising with Common Factors Practice Strips (Editable Word | PDF | Answers)

• Factorising with Common Factors Practice Grid (Editable Word | PDF | Answers)

• More Factorising with Common Factors Practice Grid (Editable Word | PDF | Answers)

• Expanding and Factorising Revision Fill In The Blanks (Editable Word | PDF | Answers)

• Expanding Brackets Revision Practice Grid (Editable Word | PDF | Answers)

• Factorising Revision Practice Grid (Editable Word | PDF | Answers)

Double brackets

• Expanding and Factorising Revision Fill In The Blanks (Editable Word | PDF | Answers)

• Expanding Brackets Revision Practice Grid (Editable Word | PDF | Answers)

• Factorising Revision Practice Grid (Editable Word | PDF | Answers)

• Factorising Quadratics Fill in the Blanks (Editable Word | PDF | Answers)

• Factorising Quadratics Practice Strips (Editable Word | PDF | Answers)

• Factorising Quadratics Name the Film (Editable Word | PDF | Answers)

• Expanding and Factorising Quadratics Fill in the Blanks (Editable Word | PDF | Answers)

• Factorising Harder Quadratics Practice Strips (Editable Word | PDF | Answers)

• Factorising Harder Quadratics Fill In The Blanks (Editable Word | PDF | Answers)

• Factorising Harder Quadratics Crack the Code (Editable Word | PDF | Answers)

• Manipulating Negative Quadratics Practice Strips (Editable Word | PDF | Answers)

• Difference of Two Squares Practice Strips (Editable Word | PDF | Answers)

• Mixed Factorising Quadratics Practice Grid (Editable Word | PDF | Answers)

Increasingly Difficult Questions

• Factorising questions (answers & supporting materials) - @taylorda01

• Factorising quadratics questions (answers) - @taylorda01

Maths4everyone (includes practice/ exam questions)

• N/A

Extension

Single bracket

• Increasing difficult common factors - Chris McGrane

• Factors by grouping - typed up by @PaulRodrigo2718

• Harder factorising - mathshelper.co.uk

• Subtle Factorising - mathshelper.co.uk

Double brackets

• Miscellaneous Factors - typed up by @InteractMaths 

• Tap Top (includes questions with a > 1) - Median Don Steward

• Factorising Quadratics puzzle (positives only) - Mr Thompson

• Quadratic Areas Puzzle - Christopher

Other Resources

Single bracket

• Basic Factorising - full lesson - Boss Maths

• Expanding and factorising - mathshelper.co.uk

• Factorising (Single Brackets) - Algebraic Product Puzzles - Mr Thompson on TES

• Factorising and Multiplying Algebraic Expressions - Mr Thompson on TES

• Factorising Linear Expressions - Richard Tock on TES

Double brackets

• A level factorising worksheet (solutions) - Solomon

• Double bracket expansion (grid method, leading to factorising) - GoTeachMaths

• Difference of Two Squares - Median Don Steward

• Sum Product worksheet - greatmathsteachingideas.com

• Teaching notes on factorising harder quadratics - J Morgan

• Factorising Non-Monic Quadratics by Inspection - J Morgan on TES

• Factorising quadratics - SRWhitehouse on TES 

• Factorising quadratics (differentiated) - ryan80 on TES 

• IS MYP maths skills-based practice directory