Prior Content: Simplifying Basic Expressions, Basic Operations +-x/, Indices
Possible Next Steps: Solving Simple Equations, Factorising
Contents
- 1.1 Single Bracket Basics
- 1.2 Negative In Front
- 1.3 Expand and Simplify Multiple Brackets
- 1.4 Expanding Single Brackets in Context
- 2.1 Expanding Double Brackets
- 2.2 Special Cases for Double Brackets (Squared and Difference of 2 Squares)
- 3.1 Triple Brackets & 3 Terms in a Bracket
- 3.2 Expanding (a + b)n Using Pascal’s Triangle (Level 2 FM)
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Single Bracket Basics
Teaching Videos, Exercises & Activities
Tutorial Videos
Courtesy of Maths Genie. Up to 7:57
Corbettmaths Expanding Brackets (Up to 2:25)
Mr Arnold Maths Video
Me vs Maths
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- Khan Academy
- Expanding single brackets: Videos & practice
Activities & Resources
- Bossmaths lesson (Part 1)
- Go Teach Maths treasure trove of activities & ppts
- interactive-maths.com Bingo (bottom of page)
- Maths 4 Everyone
- Pixi Maths
- Expanding Single Brackets ppt (Slides 1-6)
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Interactive Maths
- Expanding Single Brackets: QQI | 10QQI | Count Down | Relay
- Mr Draper Maths Distributivity with Algebra Tiles and Area Models
- Mr Draper Maths Distributivity Mixed Practice
- Go Teach Maths
- Mr Thompson Maths
- Ticktock Maths
- Expanding Single Brackets lesson (slides)
- NCETM
- NCETM Key Idea: Multiplying expressions by terms (PowerPoint)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Expanding Brackets Practice Questions & Solutions
- Expanding Brackets Worksheet✦ & Solutions
- ‘Easy’ Brackets✦ – typed up by @FitzchivalryF (need to download as Word)
- fionaones88 Worksheet (TES account required)
- interactive-maths.com generate you own worksheet (bottom of page)
- Maths 4 Everyone
- Self Marking Sheets by Phil Rhodes
- Expanding Single Brackets Excel File
- Kuta Software
- Access Maths
- Expanding Single Brackets: GSM Worksheet (with Answers) | Fluency & Reasoning Sheet
- MME
- @taylorda01
- Mr Morley Maths
- Expand and Factorise (Single Bracket): Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@MissBsResources)
- Expand and Simplify (@MissBsResources, pdf)
- Pret Homework (Derek Mooney)
- Expanding Brackets (Derek Mooney, pdf)
Dr Frost Resources
Dr Frost Video
K153: Expand a Single Bracket with an Integer on the Front.
K154: Expand a Single Bracket Requiring Simplification.
K157: Expand a Single Bracket With an Algebraic Term at the Front.
Dr Frost Slides & Activities
Dr Frost Slides (1-4 & 10)
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
- 252a: Expand a single bracket with a positive integer on the front.
- 252c: Expand a single bracket with an algebraic term at the front involving one variable only.
- 252d: Expand a single bracket with an algebraic term at the front involving multiple variables.
- 252e: Expand a single bracket with each term involving one variable or constant, using index laws.
- 252f: Expand a single bracket with each term involving multiple variables or constants, using index laws.
- 252: Exam Practice: Expanding a single bracket
Extension Materials
1.2 Negative In Front
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Video. From 2:25
*note. Remember if there does not appear to be a number in front of the bracket, but there is a negative sign, you should view this as -1 in front of the bracket.
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- cimt.org
- Khan Academy
- Expanding brackets with negative numbers: Videos & practice
Activities
- interactive-maths.com Bingo (bottom of page)
- Math = Love (Sarah Carter)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Expanding Brackets Practice Questions (Q11-12) & Solutions
- Expanding Brackets Worksheet✦ (Q2) & Solutions
- interactive-maths.com generate you own worksheet (bottom of page)
- Maths4Everyone
- uma07072004 (TES account required)
Dr Frost resources
Dr Frost Slides & Activities
Dr Frost Slides (5)
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
EXTENSION MATERIALS
- Slide 14 (Q12) of Dr Frost Slides
- Spider diagrams (TES resource of the week) and Mr Barton video. Great link to factorising
1.3 Expand and Simplify Multiple Brackets
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Courtesy of Maths Genie. From 7:57
Me vs Maths
Cognito From 2:22
Hegartymaths
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- Khan Academy
- Combining like terms & expanding: Videos & practice
Activities & Resources
- Bossmaths Lesson (Part 2)
- Don Steward Spot the mistake excellent activity✦
- Go Teach Maths treasure trove of activities & ppts
- interactive-maths.com Bingo (bottom of page)
- Matching Activity by The Maths Market (TES Account Required)
- Pixi Maths
- Expanding Single Brackets ppt (Slides 7 Onwards)
- Andy Lutwyche
- Don Steward
- Mr Thompson Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- interactive-maths.com generate you own worksheet (bottom of page)
- Maths 4 Everyone
- Pixi Maths
- MadAsMaths (T. Madas)
- Basic Skills Q4–7 · questions only
- Starting Points Maths
- Pret Homework (@AccessMaths)
- Collecting Like Terms and Expanding (@AccessMaths, pdf)
Dr Frost resources
Dr Frost Video
Whole Topic Video
K155: Expand Two Sets of Single Brackets and Collect Like Terms.
K156: Expand Two Sets of Single Brackets Where the Second Bracket has a Negative Coefficient.
Dr Frost Slides & Activities
Dr Frost Slides (7-12)
Exam Practice
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
- 252g: Simplify an expression where a single bracket is added to other terms.
- 252h: Expand and simplify the sum of two sets of single brackets in one variable with integer multipliers.
- 252i: Expand and simplify the sum of two sets of single brackets in multiple variables with integer multipliers.
- 252k: Expand and simplify the difference of two sets of single brackets with integer multipliers.
- 252m: Expand and simplify two sets of single brackets, where multipliers are variables or terms.
- 252: Exam Practice: Expanding a single bracket
EXTENSION MATERIALS
- Don Steward Median page 1✦ and page 2✦
- Miscellaneous Brackets✦ – typed up by @InteractMaths
1.4 Expanding Single Brackets in Context
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Fox Maths From 6:07
Online Platforms (with Videos & Exercises)
Activities & Resources
- Geogebra interactive area by Gareth Daniels
- The Chalkface
- Area Algebra: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Goal Free Problems
Worksheets
- dolphinl worksheet (Tes account required)
Dr Frost resources
Dr Frost Slides & Activities
Dr Frost Slides (13)
Exam Practice
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
- 198f: Write an expression or formula for the perimeter of a 2D shape.
- 198g: Write an expression or formula for the area of a standard 2D shape.
- 198h: Write an expression or formula for the area of a composite or rectilinear shape.
- 198: Exam Practice: Forming linear algebraic expressions and formulae from a given context
Further Practice
EXTENSION MATERIALS
2.1 Expanding Double Brackets
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Courtesy of Maths Genie
Me vs Maths
Corbettmaths (last example is squared)
Cognito (up to 3:04)
revisemathsUK (FOIL approach) if you really have to use FOIL
Maths by Fives Multiply polynomials using FOIL
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- Khan Academy
- Multiplying binomials (double brackets): Videos & practice
Activities & Resources
- Bossmaths lesson
- ctaylor146 (TES Account Required)
- Go Teach Maths treasure trove of activities & ppts
- Maths 4 Everyone
- Nuffield Foundation Card Sort✦
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Radical 4 Math
- Don Steward
- PhET Interactive Simulations
- PhET Area Model Algebra Interactive Simulation (embedded below)
- Access Maths
- Squares Game Expanding Double Brackets
- Expanding Double Brackets: GSM Worksheet (with Answers) | Fluency & Reasoning Sheet | with Coefficients (Fluency & Reasoning)
- Interactive Maths
- Expanding Quadratic Brackets: QQI | 10QQI | Count Down | Relay | Bingo
- Expanding Quadratic Brackets: Worksheets
- Goal Free Problems
- Go Teach Maths
- thewessens.net Classroom Apps
- Algebra with Tiles (expand double brackets as an area model)
- MathsPad
- Nuffield Foundation
- Mr Thompson Maths
- Karen Hancock
- dooranran
- Ticktock Maths
- NCETM
Worksheets
- Accessmaths Worksheet
- ahmed_j_1988 Spot the mistake worksheet and questions (TES Account Required)
- Dr Austin Maths
- Fill in the Blanks (Word | PDF | Answers)
- Harder Fill in the Blanks (Word | PDF | Answers)
- Practice Strips (Word | PDF | Answers)
- Match-Up (Word | PDF | Answers)
- Factorising Guided Revision Grid (Word | PDF | Answers)
- Grid Fill in the Blanks (Word | PDF | Answers)
- Algebraically Fill in the Blanks (Word | PDF✦ | Answers✦)
- Mixed Variables Fill in the Blanks (Word | PDF | Answers)
- Mixed Single Practice Strips (Word | PDF | Answers)
- ayoob Expanding with Grids (TES Account Required)
- Corbettmaths
- Expanding Two Brackets Practice Questions & Solutions
- Expanding Two Brackets Worksheet✦ & Solutions
- Maths 4 Everyone
- Kuta Software
- MME
- MadAsMaths (T. Madas)
- Mr Morley Maths
- Expanding Double Brackets: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@DudsPln)
- Expanding Double Brackets (@DudsPln, pptx)
Dr Frost resources
Dr Frost Video
Whole Topic Video (Up to 6:17)
K351: Expanding Two Brackets with Simple Coefficients.
K352: Expanding Two Brackets With More General Coefficients.
K355: Expand Expressions of the Form (ax+b)(cx+d)−(ex+f)(gx+h).
K356: Expand Double Brackets With Subsequent Simplification Required.
Download Slides
Dr Frost Slides (2 Only)
Activity
Exam Practice
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
- 299a: Expand double brackets given in the form (x+a)(x+b)
- 299b: Expand double brackets given in the form (x- a)(x- b)
- 299c: Expand double brackets given in the form (x + a)(x – b)
- 299f: Expand double brackets given in the form (ax ± b)(cx ± d)
- 299h: Expand double brackets given in the form (a ± bx)(c ± dx)
- 299i: Expand double brackets with multiple variables.
- 299m: Expand double brackets involving index laws.
- 299n: Expand and simplify the sum of a double and single bracket expansion.
- 299o: Expand and simplify the difference of a double and single bracket expansion.
- 299p: Expand and simplify the sum of two double bracket expansions.
- 299q: Expand and simplify the difference of two double bracket expansions.
- 299: Exam Practice: Expanding double brackets
EXTENSION MATERIALS
Other Videos & Multimedia
Worksheets
- Area and Volume by rquayle21 (TES Account Required)
2.2 Special Cases for Double Brackets (Squares and Difference of 2 Squares)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Courtesy of Maths Genie From 3:49 for squared brackets
Corbettmaths (last example is squared)
Joel Speranza Math (Difference of 2 Squares)
Maths by Fives Multiplying difference of squares
Me vs Maths (final example only for difference of 2 squares)
Online Platforms (with Videos & Exercises)
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- Don Steward
Worksheets
- Corbettmaths
- Maths 4 Everyone
- Double Brackets Strengthen
- Double Brackets Extend
- Dr Austin Maths
- MadAsMaths (T. Madas)
- Basic Skills Q27–36 · questions only
Dr Frost resources
Dr Frost Video
Whole Topic Video (4:12 to 6:17) Squared Brackets
K353: Expand an expression in the form (x+a)2.
K354: Expand Two Brackets in the Form (x−a)(x+a).
Download Slides
Dr Frost Slides (2 Only)
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
- 299d: Expand double brackets given in the form (x-a)(x+a)
- 299e: Expand double brackets given in the form (x ± a)2
- 299g: Expand double brackets given in the form (ax-b)(ax+b)
- 299r: Expand an expression given in the form (ax ± b)2 – (cx± d)2
- 299s: Expand an expression given in the form (a±b/x)2
- 299: Exam Practice: Expanding double brackets
EXTENSION MATERIALS
Online Platforms
- Khan Academy
- Special products of binomials: Videos & practice
3.1 Triple Brackets & 3 Terms in a Bracket
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Courtesy of Maths Genie
Cognito Three Terms in Brackets (From 3:04)
Cognito Triple Brackets
Corbettmaths Expanding Three Brackets
Online Platforms (with Videos & Exercises)
- Maths Made Easy
- Khan Academy
- Multiplying binomials by polynomials: Videos & practice
Activities & Resources
- Tutor2u Safecracker (can be used as starter – final code is 3 brackets in each)
- Mr Barton Variation Theory page
- Squares Game✦ Just Maths
- Go Teach Maths treasure trove of activities & ppts
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Goal Free Problems
- dooranran
- Just Maths
- MEI
- Grid method polynomial expansions (folder)✦ (original by MEI; copy hosted on Jo Morgan’s Drive)
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Expanding Three Brackets Practice Questions & Solutions
- Expanding Three Brackets Worksheet✦ & Solutions
- Maths 4 Everyone
- Miss Konstantine (MathsHKO)
- Maths Genie
- Expanding Triple Brackets: Booklet · Worksheet · Solutions · Lesson · Topic page
- Naiker Maths
- Expanding Triple Brackets: Worksheet
- Access Maths
- MME
- @taylorda01
- 1st Class Maths
- MadAsMaths (T. Madas)
- Identities Q1–2 (difficulty 2 of 5)
- Basic Skills Q9–10 · questions only
- Mr Morley Maths
- Expanding Triple Brackets: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (Rachel Mahoney)
- Expanding Triple Brackets (Rachel Mahoney, pptx)
Dr Frost resources
Dr Frost Video
K357: Expanding Three Brackets
K358: Expand an Expression in the Form (x+a)3.
Download Slides
Dr Frost Slides (3-5)
Exam Practice
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
- 299j: Expand double brackets with up to three terms in a single bracket.
- 299k: Expand double brackets given in the form (ax ± b)(cx2 ± dx ± e)
- 299l: Expand a single term and two brackets given in the form ax(bx ± c)(dx ± e)
- 300a: Expand an expression given in the form (x ± a)(x ± b)(x ± c)
- 300b: Expand an expression given in the form (x ± a)(bx ± c)(dx ± e)
- 300c: Expand an expression given in the form (ax ± b)(cx ± d)(ex ± f)
- 300d: Expand an expression given in the form (ax ± b)3
- 300e: Expand an expression given in the form (ax+b)2(cx+d)
- 300f: Expand an expression given in the form (ax+b)3+(cx+d)2
- 299: Exam Practice: Expanding double brackets
- 300: Exam Practice: Expanding three (or more) brackets
Further Practice
EXTENSION MATERIALS
3.2 Expanding (a + b)n Using Pascal’s Triangle (Level 2 FM)
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Expanding Brackets Using Pascal’s Triangle
WW Why does Pascal’s Triangle appear in the Binomial Expansion?
Online Platforms (with Videos & Exercises)
- Khan Academy
Activities & Resources
- Acute Learning Problem Pairs
- Level 2 FM: Expanding Brackets & Pascal's Triangle as PowerPoint or PDF
- Math = Love (Sarah Carter)
- Ben Sparks (GeoGebra)
- Pascal’s Triangle (Interactive): GeoGebra
- BossMaths
- Introduction to the Binomial Expansion (Interactive) (Interactive tree showing where each term comes from)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Expanding Brackets (Pascal’s Triangle) Practice Questions & Solutions
- MadAsMaths (T. Madas)
Dr Frost Resources
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Whole Topic Summary Resources (Including Past Paper Questions)
Download Expanding Brackets PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Expanding Brackets (Single) as PowerPoint or PDF
- Expanding Brackets (Double) as PowerPoint or PDF
- Expanding Brackets (Triple) as PowerPoint or PDF
Activities & Resources
- C Parkinson Lesson Slides for Expanding & Factorising✦ (TES Account Required)
- Intervention Tasks
- NRICH (student problems)
- Transum
- Jason Steele (@steelemaths)
Worksheets
- Dr Austin Maths
- Kuta Software Expanding Worksheet
- MathedUp
- Binomial Expansion: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Expanding and Factorising: Booklet · Worksheet · Solutions · Lesson · Topic page
- Physics & Maths Tutor
- MME
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.