This page lists recommended resources for teaching algebraic topics at Key Stage 3/4.
Huge thanks to all individuals and organisations who share teaching resources.
Forming Expressions
- Introduction to writing algebraically – by me!
- Translating English to algebra – Median Don Steward
- Forming expressions textbook exercise – Corbett Maths
- Number tricks – mathspad.co.uk
- Three operations, expressions – Median Don Steward
- Algebraic expressions – Standards Unit
- abc – SMILE
- Words won’t fail me – SMILE
Function Machines
- Function machines – Corbett Maths
- Function Machines Worksheet – Mr Thompson on TES
- Language of functions topic check-in – OCR
- Algebraic Function Machines – by me, based on the resource by MissBrookesMaths
- Function machines – writing algebraically – MissBrookesMaths
- Bridging Unit: Functional Notation – AQA
- An Introduction to Function Notation – TeachIt Maths
- Interactive simplifying activities – mathspad.co.uk
- Like terms search – @sgiekAHS
- Collecting like terms task cards – GottaLuvItCreations on TES
- Simplifying expressions questions (answers) – @taylorda01
- Collecting like terms textbook exercise – Corbett Maths
- Collecting like terms worksheet – Richard Tock via variationtheory.com
- Multiplying terms textbook exercise – Corbett Maths
- Simplifying Expressions by Multiplying Fill in the Blanks (Answers) – DrAustinMaths
- Simplifying Expressions by Dividing Fill in the Blanks (Answers) – DrAustinMaths
- Algebraic Multiplication and Division Fill in the Blanks (Answers) – DrAustinMaths
- Simplifying Expressions Involving Brackets and Powers (Answers) – DrAustinMaths
- Algebra pyramids – Teachit Maths
- Algebra match – SMILE
- Expression Pyramids – Median Don Steward
- Transforming expressions – Median Don Steward
- L shaped perimeters – Median Don Steward
- Algebra true or false – by me!
- Algebra True or False Cards – Phlynn on TES
- Six legs – Median Don Steward
- Algebraic Expressions Spiders – alutwyche on TES
- Six-a-side maths (simplifying algebra) – @dooranran on TES
- One incorrect simplification – Median Don Steward
- Algebraic Expressions Maze – MEI
- Algebraic order of operations – by me!
- Three operations, expressions – Median Don Steward
- A level simplifying worksheet (solutions) – Solomon
- Algebra exercises from the 1950s
 |
| One incorrect simplification – Median Don Steward |
Expanding Single Brackets
Expanding Cubics
Rearranging Formulae
Substitution
Linear Sequences
Linear Equations
Linear and Graphical Inequalities
Linear Graphs
Plotting
Equations – gradient and intercept
Horizontal and Vertical
- Expanding Single Brackets Fill in the Blanks (answers) – DrAustinMaths
- Expanding Single Brackets Name the Film (answers) – DrAustinMaths
- Expanding Single Brackets Odd One Out (answers) – DrAustinMaths
- Series of lessons on expanding and factorising – cparkinson3 on TES
- Expanding brackets questions (answers & supporting material) – @taylorda01
- Expanding a bracket – Maths4Everyone on TES
- Expanding single brackets maze – Mr Thompson on TES
- Expand and simplify – Maths4Everyone on TES
- ‘Easy’ Brackets – typed up by @FitzchivalryF
- Expanding single brackets textbook exercise – Corbett Maths
- Find the gaps – Median Don Steward
- Expanding and simplifying – Median Don Steward
- Expanding and Simplifying (positives only) Rich Task – Mr Thompson on TES
- Miscellaneous Brackets – typed up by @InteractMaths
- Expanding Double Brackets Fill in the Blanks (answers) – DrAustinMaths
- Expanding Harder Double Brackets Fill in the Blanks (answers) – DrAustinMaths
- Series of lessons on expanding and factorising – cparkinson3 on TES
- Expanding Double Brackets (Basic) – Matching Task – Mr Thompson on TES
- Equivalence route – Median Don Steward
- Multiplying two brackets – Maths4Everyone on TES
- Expanding double brackets textbook exercise – Corbett Maths
- Describing area – mathspad.co.uk
- Double Brackets Task – Karen Hancock
- Double bracket expansion (grid method, leading to factorising) – GoTeachMaths
- Expanding brackets: quadratic expressions – Median Don Steward
- Multiplying brackets – algebra learning grid – @dooranran on TES
- Expanding Harder Brackets Fill in the Blanks (Answers) – DrAustinMaths
- Expanding double brackets (with grids) – ayoob
- A level expanding worksheet (solutions) – Solomon
- Expanding/factorising card sort, student sheet, notes & ppt – Nuffield Foundation
 |
| Extract from a textbook exercise by Barbara Young |
- Expanding triple brackets textbook exercise – Corbett Maths
- Expanding triple brackets – Maths4Everyone on TES
- Expanding Polynomials (cubics – new GCSE) – @dooranran on TES
- Expanding brackets II questions (answers) – @taylorda01
- Grid method polynomial expansions – MEI
- Expanding binomials – Squares – Just Maths
- Triple Brackets – Boarding Card – Just Maths
- Expanding triple brackets exam-style questions (answers) – 1st Class Maths
- Series of lessons on expanding and factorising – cparkinson3 on TES
- Basic Factorising – full lesson – Boss Maths
- Factorisation textbook exercise – Corbett Maths
- Factorising Linear Expressions – Richard Tock on TES
- Factorising questions (answers & supporting materials) – @taylorda01
- Factors by grouping – typed up by @PaulRodrigo2718
- Expanding and factorising – mathshelper.co.uk
- Harder factorising – mathshelper.co.uk
- Subtle Factorising – mathshelper.co.uk
- Factorising (Single Brackets) – Algebraic Product Puzzles – Mr Thompson on TES
- Factorising and Multiplying Algebraic Expressions – Mr Thompson on TES
- Increasing difficult common factors – Chris McGrane
- Factorising with common factors fill in the blanks (answers) – DrAustinMaths
- See below for factorising quadratics
Rearranging Formulae
- Introduction to rearranging formula – visual scaffolding – mathspad.co.uk
- Rearranging formulae variation – PixiMaths via variationtheory.com
- Grouping formulae by changing the subject – Teachit Maths
- Changing the subject questions (answers) – @taylorda01
- Changing the subject activity – The Chalk Face
- Changing the subject – mathshelper.co.uk
- Rearranging formula booklet – Aquinas Maths Department
- Changing the subject of science formulae – by me!
- Maths skills in science – rearranging formulae – TeachIt Science (free registration required)
- Rearranging formula – student sheet, sorting cards, notes, ppt – Nuffield Foundation
- Rearrangement Steps – Median Don Steward
- Easy Literal Equations (download) – typed up by @mathsbox1
- Changing the Subject Full Coverage GCSE Questions – compiled by Dr Frost
Substitution
- Basic substitution questions (answers) – @taylorda01
- Substitution into formulae – Maths4Everyone on TES
- Substitution Tree – Median Don Steward
- Substitution code breaker – Teachit Maths
- Substitution code breaker (harder) – Teachit Maths
- Negative numbers substitution code breaker – Teachit Maths
- Substitution scenarios – Teachit Maths
- Substitution quiz – I think I got this from TES years ago, author unknown (sorry)
- Substitution puzzle – mathsteaching.wordpress.com
- Superhero substitution – @dooranran on TES
- To and fro – Median Don Steward
- Formulas – Median Don Steward
- Loop Cards – Median Don Steward
- Equivalence – Median Don Steward
- Pattern Answers – Median Don Steward
- Developing – Median Don Steward
- Various formulas – Median Don Steward
- Substitution with fractions – typed up by Steve Bishop
- nth term of a linear sequence practice – DrAustinMaths.com (answers here)
- Linear sequences fill in the blanks – DrAustinMaths.com (answers here)
- Sequences fill in the gaps – Nathan Day
- nth terms and equations – Median Don Steward
- Interactive Find the Sequence – mathspad.co.uk
- Extending and generalising number sequences – Don Steward
- Extending sequences questions (answers) – @taylorda01
- Interactive Find the nth term – mathspad.co.uk
- nth term of a decreasing arithmetic sequence – Mr Thompson Maths
- Sequences forwards and backwards – mathspad.co.uk
- Sequences booklet – pattern spotting – Nick McIvor via Mark Horley
- Introduction to linear sequences – Teachit Maths
- Nth term textbook exercise – Corbett Maths
- Sequences fill in the gaps – Karen Hancock
- Position-to-term rules questions (answers) – @taylorda01
- Linear sequences dominoes – Teachit Maths
- Sequences Search – Tristan Jones
- Sequences Search – using the nth term (Substitution) – Mr Thompson on TES
- Arithmetic sequences GCSE revision – Maths4Everyone on TES
- Generating Sequences and Nth Term – Access Maths
- Sequences Venn tasks – mathsvenns.com
- Rich tasks for sequences – scottyknowles18 on TES
- Quadratic Sequences by Comparison – by me!
- Completion Table – Linear and Quadratic Sequences – Mr Thompson on TES
- Nth term of quadratic sequences questions (answers) – @taylorda01
- Quadratic sequences – Don Steward
- Quadratic nth term – Don Steward
- Quadratic sequences textbook chapter
- Quadratic sequences mixed worksheet – Maria Howard
- Quadratic sequences exam-style questions (answers) – 1st Class Maths
- See my post New GCSE: Sequences for information about the changes to this topic at GCSE
- Continuing sequences fill in the blanks – DrAustinMaths.com (answers here)
- Fibonacci sequences practice – DrAustinMaths.com (answers here)
- Fibonacci sequences and equations – Median Don Steward
- Fibonacci patterns – Median Don Steward
- Recognising and using Fibonacci type sequences – Boss Maths
- Arithmetic, Geometric or Quadratic Sequence? – Mr Thompson on TES
- Nth term formulae – Maths4Everyone on TES
- Term-to-term rules matching cards – Teachit Maths
- Types of sequence puzzles – MathsPad
- Sequences with surds – Nathan Day
- Sequences Problem – @jase_wanner
- Odd One Out – @jase_wanner
- 4 in a line – Extending Sequences – MissBrookesMaths
- Types of sequence Tick or Trash – MissBrookesMaths
- Generating Sequences Quiz Quiz Trade – MissBrookesMaths
- Geometric sequences – Median Don Steward
- Geometric sequences – some with surds – Median Don Steward
- Sequences chapter (answers), slides and exercises – CIMT
 |
| Steps to Solving Equations – MAP |
- Solving equations – visual scaffolding – mathspad.co.uk
- One Step Equations – colouring – Mr Thompson on TES
- Find the mystery number – mathspad.co.uk
- I’m thinking of a number – mathspad.co.uk
- Equations crossnumber – mathspad.co.uk
- Worms, beetles and loops – Median Don Steward
- One step equations – Maths4Everyone on TES
- One Step Equations No Negatives Colour & Maze – GottaLuvItCreations on TES
- Solving linear equations questions (answers) – @taylorda01
- Steps to Solving Equations – Mathematics Assessment Project
- Linear equations sheets – Median Don Steward
- Linear equations AI tasks – Duncan Grantham
- Introduction to equations – lessons plans and activities – Project Maths
- Puzzles that you could use algebra to solve – Median Don Steward
- Forming equations textbook exercise – CorbettMaths
- Forming equations – mathshelper.co.uk
- Solving Equations and Simplifying Expressions – Pyramids – Mr Thompson Maths
- Forming and solving linear equations – steele1989 on TES
- Solving Equations with Fractional Answers – Mr Thompson on TES
- Solving equations with area – Access Maths
- Solving equations with perimeter – Access Maths
- Solving equations with brackets – @FortyNineCubed
- Solving Equations with Brackets – Challenge Questions – Mr Thompson on TES
- Equations involving brackets – typed up by Justin Thompson
- Some wrong equation solving – Median Don Steward
- Linear equations cross-puzzles – Median Don Steward
- Forming and solving equations – Teachit Maths
- Two step equations – Maths4Everyone on TES
- Equations with an x on both sides – Maths4Everyone on TES
- Equations – x on both sides – Problem Solving – Mr Thompson on TES
- Equations with unknown on both sides notes and exercises – martahidegkuti.com
- Solving linear equations – Cazoom Maths
- Expression polygons – Colin Foster
- Linear equation extras – Median Don Steward
- Challenging linear equations – mathshelper
- Equations exercises from the 1950s
- Solving Linear Equations Full Coverage GCSE Questions – compiled by Dr Frost
- GCSE 9-1 Exam Practice Questions (Algebraic Problems) – Maths4Everyone on TES
- One step linear equations exam-style questions (answers) – 1st Class Maths
- Two step linear equations exam-style questions (answers) – 1st Class Maths
Linear and Graphical Inequalities
- Evaluating Statements about Number Operations – Mathematics Assessment Project
- Manipulating inequalities – Karen Hancock
- Inequalities and number lines – Maths4Everyone on TES
- Solving Linear Inequalities Practice Grid (Answers) – Dr Austin Maths
- Solving Compound Inequalities Practice Grid (Answers) – Dr Austin Maths
- Compound inequalities – Maths4Everyone on TES
- Set notation for inequalities (new GCSE) – by me!
- Representing Inequalities Practice Grid (Answers) – Dr Austin Maths
- Representing Double Inequalities Practice Grid (Answers) – Dr Austin Maths
- Representing Inequalities Match-Up (Answers) – Dr Austin Maths
- Linear inequalities notes and exercises – martahidegkuti.com (more practice here)
- Inequalities Spiders – Andy Lutwyche on TES
- Inequalities – mathshelper.co.uk
- Inequalities and number lines – TeachIt Maths
- Introduction to inequalities – lesson plans and activities – Project Maths
- Linear Inequalities – Median Don Steward
- Inequality scenarios – TeachIt Maths
- Solving inequalities – TeachIt Maths
- Solving Linear Inequalities Match-Up (Answers) – Dr Austin Maths
- Solving Compound Inequalities Name the Film (Answers) – Dr Austin Maths
- Linear Inequalities True or False (Answers) – Dr Austin Maths
- Solving inequalities topic review sheet – Maths4Everyone
- Defining Regions Using Inequalities – Mathematics Assessment Project
- Inequations: Regions – Median Don Steward
- Graphing Inequalities 1 & Graphing Inequalities 2 – MissBrookesMaths
- Graphical inequalities: drawing – topic review sheet – Maths4Everyone
- Graphical inequalities: identifying – topic review sheet – Maths4Everyone
- Shading Graphical Inequalities Practice Grid (Answers) – Dr Austin Maths
- Shading Harder Graphical Inequalities Practice Grid (Answers) – Dr Austin Maths
- Describing Graphical Inequalities Practice Grid (Answers) – Dr Austin Maths
- Describing Harder Graphical Inequalities Practice Grid (Answers) – Dr Austin Maths
- Graphical Inequalities Match-Up (Editable Word | PDF | Answers) – Dr Austin Maths
- Inequalities and regions exam-style questions (answers) – 1st Class Maths
- Shading and Describing Harder Graphical Inequalities Practice Grid (Answers) – Dr Austin Maths
- Solving Equations and Inequalities Revision Practice Grid (Answers) – Dr Austin Maths
- Inequalities practice/revision – AS Resource Pack
- Inequalities Chapter (answers) – CIMT
 |
| Introduction to Inequalities – projectmaths.ie |
- Quadratic inequalities worksheets – SRWhitehouse on TES
- Quadratic inequalities worksheet – phildb on TES
- Quadratic inequalities – mssteelmaths.com
- Spot the mistake – by me!
- Solving Quadratic Inequalities Fill in the Blanks – Andy Lutwyche
- Solving Quadratic Inequalities Fill In The Blanks (Answers) – DrAustinMaths
- Solving Harder Quadratic Inequalities Fill In The Blanks (Answers) – DrAustinMaths
- Inequalities for some occasions – Underground Mathematics
- Quadratic inequalities exam-style questions (answers) – 1st Class Maths
- A level inequalities worksheet (solutions) – Solomon
- A level inequalities problem solving worksheet (solutions) – Solomon
- See my blog post for teaching methods
Linear Graphs
Plotting
- Cartesian Coordinates and Straight Lines booklet – Teachit Maths
- Plotting Linear Graphs Practice Grid (Answers) – DrAustinMaths
- Plotting graphs – Median Don Steward
- Plotting Linear Graphs Fill in the Blanks (Answers) – Dr Austin
- Drawing straight line graphs – Teachit Maths
- Plotting lines from equations – Teachit Maths
- The algebra of straight lines – TeachIt Maths
- Graph snaps – Don Steward
- Plotting Straight Line Graphs: ax + by = c – Mr Thompson on TES
- Drawing straight line graphs exam-style questions (answers) – 1st Class Maths
Equations – gradient and intercept
- Gradient – mathshko
- Introduction to gradient – Teachit Maths
- Finding Gradients of Straight Lines Practice Grid (Answers) – DrAustinMaths
- Finding Fractional Gradients Practice Grid (Answers) – DrAustinMaths
- Gradient exercise – CorbettMaths
- Gradient and y-intercept – TeachIt Maths
- Gradient resources and geogebra tools
- Gradient and intercept from an equation – rogradymaths.blogspot.co.uk
- Straight Line Graphs in Desmos – by me!
- ‘Understanding y = mx+c’ worksheet – Teachit Maths
- Gradient and y-intercept Fill in the Blanks (Answers) – DrAustinMaths
- Equation of a Straight Line Fill In The Blanks (Answers) – DrAustinMaths
- Blog post: ‘All about gradient’
Horizontal and Vertical
Parallel and perpendicular
Algebraic Fractions
Graphing Functions
Algebraic Proof and Identities
Equation of a Circle & Tangent to a Circle
Gradient of a Curve
Algebra Mixed/Revision
- True/false activity – rogradymaths.blogspot.co.uk
- Reciprocals Odd One Out – MathsPad
- Perpendicular gradients – MathsPad
- Lessons: parallel lines and perpendicular lines – Richard Tock
- Classifying Equations of Parallel and Perpendicular Lines – Mathematics Assessment Project
- Perpendicular Lines Worksheet – by me!
- Parallel and Perpendicular Lines Spiders – alutwyche on TES
- Parallel and Perpendicular Lines Match-Up (Answers) – Dr Austin
- Parallel and Perpendicular Lines True or False (Answers) – Dr Austin
- Equation of parallel lines exam-style questions (Answers) – 1st Class Maths
- Equations of perpendicular lines exam-style questions (answers) – 1st Class Maths
Mixed
- Straight line graphs problem solving – Maria Howard on TES
- Coordinate Geometry Problems – Access Maths
- Equation of a Straight Line – Fill in the Gaps – Mr Thompson on TES
- Linear Graphs homework sheet – Mathattack
- Topic checklist – thechalkface.net
- Foundation: Linear Graphs ‘I Can’ – Mathsbox
- Equation of a straight line questions (supporting material) – @taylorda01
- Linear rules, with contexts – Median Don Steward
- Linear equations and Mr Venn – Median Don Steward
- Straight line graphs review – TeachIt Maths
- Coordinate Geometry – Straight Lines – TeachIt Maths
- A level coordinate geometry worksheet (solutions) – Solomon
- Two Points Spider Diagrams (Answers) – Dr Austin
- Harder Coordinate Geometry Practice Grid (Answers) – Dr Austin
- Linear graphs GCSE questions – AQA and Edexcel, compiled by me!
- Equation of a line exam-style questions (answers) – 1st Class Maths
 |
| Factorising Quadratics Practice from @DJUdallQuadratics |
Factorising
- Sum Product Tasks – Nathan Day
- Series of lessons on expanding and factorising – cparkinson3 on TES
- Factorising Quadratics Fill in the Blanks (Answers) – Dr Austin Maths
- Factorising quadratics questions (answers) – @taylorda01
- Factorising quadratics – SRWhitehouse on TES
- Double bracket expansion (grid method, leading to factorising) – GoTeachMaths
- Difference of Two Squares – Median Don Steward
- Factorising Quadratics puzzle (positives only) – Mr Thompson on TES
- Quadratic Areas Puzzle – Chritsopher on TES
- Miscellaneous Factors – typed up by @InteractMaths
- See my blog post about factorising harder quadratics
- Tap Top (includes questions with a > 1) – Median Don Steward
- A level factorising worksheet (solutions) – Solomon
- Factorising Non-Monic Quadratics by Inspection – by me!
- Factorising Full Coverage GCSE Questions – compiled by Dr Frost
- Expanding and factorising revision – fill in the blanks (answers) – DrAustinMaths
Quadratic graphs – plotting, sketching and recognising
- Sketching Quadratics – source unknown
- Plotting Basic Quadratic Graphs – Mr Thompson Maths
- Sketching Quadratics from Intersections with Axes – Chris McGrane
- Plotting Quadratic Graphs Practice Grid (Answers) – Dr Austin Maths
- Sketching Quadratic Graphs Practice (Answers) – Dr Austin Maths
- GCSE Quadratics Graphs Worksheets – taylorr9 on TES
- Plotting Quadratics – MathAttack
- Solving quadratic equations using graphs – @nishadealwis
- Quadratics – Roots, y-Intercepts & Turning Points worksheet – Mr Thompson on TES
- Quadratics card sort – Standards Unit
- Quadratic Points – Median Don Steward
- Quadratic Functions – Susan Wall
- Sketching quadratics – SRWhitehouse on TES
- Quadratic matching – Median Don Steward
- Quadratics from roots, vertex and y-intercept – Median Don Steward
- Which graph? – Median Don Steward
- Quadratic graphs – fill in the gaps – Craig Barton
- Representing Quadratic Functions Graphically – Mathematics Assessment Project
- Solving Equations Graphically Practice Grid (Answers) – Dr Austin Maths
- Quadratic graphs exam-style questions (answers) – 1st Class Maths
- See my blog post about finding the vertex of a quadratic function
Forming and solving quadratic equations
- Introduction to Quadratic Equations – lesson plans and activities – Project Maths
- Solving Quadratics Spiders – Andy Lutwyche on TES
- Solving quadratics by factorising questions (answers) – @taylorda01
- Solving Quadratics by Factorising Match-Up (answers) – Dr Austin Maths
- Dominoes – Solving Quadratics – Teachit Maths
- Quadratic equations – Median Don Steward
- Codebreaker – Solving Quadratics (by factorising) – Andy Lutwyche on TES
- Quadratic equations collect a joke – Dan Walker on TES
- Solving Quadratic Equations (with Re-arrangement) – Mr Thompson on TES
- Form and solve an equation – Median Don Steward
- Forming and solving quadratics in context (answers) – Dr Austin Maths
- Making quadratics from areas – pas1001 on TES
- Factorising and solving quadratic equations – CrashMaths
- Mixed Linear and Quadratic Equations – Chris McGrane
- Harder Quadratics – mathshelper.co.uk
- Tough equations – Median Don Steward
- Solving Quadratic Equations Full Coverage GCSE Questions – compiled by Dr Frost
- Quadratic ‘show that’ GCSE questions – Maths4Everyone on TES
Quadratic Formula
- The Quadratic Formula – Andy Lutwyche on TES
- Using the Quadratic Formula Fill In The Blanks (Answers) – Dr Austin Maths
- Quadratic formula lesson and activities – Richard Tock
- Quadratic formula lesson – LawrenceHouldsworth on TES
- Quadratic formula – Median Don Steward
- Quadratic formula – mathshelper.co.uk
- Quadratic formula revision worksheet – timcw on TES
- Quadratic formula worksheet – CrashMaths
- Quadratic formula GCSE revision – Maths4Everyone on TES
- Quadratic formula Open Middle problem – openmiddle.com
- Quadratic formula exam-style questions (answers) – 1st Class Maths
Completing the Square
- Completing the square questions (answers) – @taylorda01
- Completing the square – Maths4Everyone on TES
- Completing the square to sketch – SRWhitehouse on TES
- Completing the square activity and notes (teacher notes and slides) – Nuffield Foundation
- Completing the Square Dominoes – Teachit Maths
- Completing the square codebreaker – alutwyche on TES
- A level completing the square worksheet (solutions) – Solomon
- Solving by Completing the Square – Matching Activity – Mr Thompson on TES
- Completing the square worksheet – CrashMaths
- Completing the Squares Full Coverage GCSE Questions – compiled by Dr Frost
- Completing the square exam-style questions (answers) – 1st Class Maths
- Tricky completing the square exam-style questions (answers) – 1st Class Maths
- Finding turning points by completing the square exam-style questions (answers) – 1st Class Maths
- Solving quadratics by completing the square exam-style questions (answers) – 1st Class Maths
Mixed
- End of topic quadratics test – Crash Maths
- Quadratics resources – ColmanWeb
- Quadratic Skills Problem Solving Task – Chritsopher on TES
- Odd One Out – mathspad.co.uk
- Quadratic expression versions – Don Steward
- A level quadratics problems worksheet (solutions) – Solomon
- See my blog post on Trial and Improvement for ideas and resources
- Iteration lesson – full lesson – Boss Maths
- Bridging Units: Resource Pocket 4 – Iterative methods for solving equations numerically – AQA
- Destination Douze and Iteration – Don Steward
- Iteration practice questions – Corbett Maths
- Iteration slides – Dr Frost
- Solving cubic equations iteratively – Median Don Steward
- Iterations – CrashMaths
- Iteration resources (subscription) – MathsPad
- Iteration AQA exam-style questions (answers) – 1st Class Maths
- Iteration Edexcel exam-style questions (answers) – 1st Class Maths
- Scaffolded simultaneous equations – Ashton Coward
- Simultaneous equations deductions – Median Don Steward
- Simultaneous equation tasks – Median Don Steward
- Simultaneous equations exercises – variationtheory.com
- Solving Linear Simultaneous Equations Crack the Code – DrAustinMaths.com (answers here)
- Simultaneous Scenarios – Teachit Maths
- Solving simultaneous equations by elimination – full lesson – Boss Maths
- The final step – @mathsmrgordon via variationtheory.com
- Simultaneous equations generalising – Median Don Steward
- Simultaneous equations – mathshelper.co.uk
- Solving Simultaneous Equations Graphically – Tristan Jones on TES
- Solving Simultaneous Equations Graphically – by me!
- Simultaneous equations and graphs – Median Don Steward
- Where lines meet – Median Don Steward
- Simultaneous Equations in Geometrical Problems – Mr Thompson on TES
- Simultaneous equations GCSE revision – Maths4Everyone on TES
- Miscellaneous simultaneous equations – typed up by @fionajw
- Simultaneous equations questions (answers) – @taylorda01
- Quadratic meets Linear – Median Don Steward
- Non-linear simultaneous equations exam-style questions (answers) – 1st Class Maths
- Simultaneous Equations Mega Sheet – mathshelper.co.uk
- One Linear and One Quadratic – examples and exercise – CIMT
- A level simultaneous equations worksheet (solutions) – Solomon
- Simultaneous Equations Full Coverage GCSE Questions – compiled by Dr Frost
- Exam style questions – quadratic simultaneous equations – Maths4Everyone on TES
- Exam style questions – linear simultaneous equations – Maths4Everyone on TES
Algebraic Fractions
- Fractions inc algebra – Add and Subtract , Equivalent, Simplifying – MissBrookesMaths
- Ordering algebraic fractions – Mr Thompson on TES
- Collection of four lessons on algebraic fractions – cparkinson3 on TES
- Simplifying algebraic fractions (basic) – @fortyninecubed via variationtheory.com
- Simplifying Algebraic Fractions Fill In The Blanks (Answers) – Dr Austin
- Simplifying Algebraic Fractions Odd One Out (Answers) – Dr Austin
- Simplifying algebraic fractions by factorising questions (answers) – @taylorda01
- Simplifying algebraic fractions GCSE revision – Maths4Everyone on TES
- Simplifying Algebraic Fractions Match-Up (answers) – Dr Austin
- Further Factorising – colmanweb.com
- Simplification of Fractions by Factors II – typed up by @mathsbox1
- Adding and subtracting algebraic fractions GCSE revision – Maths4Everyone on TES
- Multiplying Algebraic Fractions Fill In The Blanks (Answers) – Dr Austin
- Dividing Algebraic Fractions Fill In The Blanks (Answers) – Dr Austin
- Adding and Subtracting Algebraic Fractions Fill In The Blanks (Answers) – Dr Austin
- Adding and Subtracting Algebraic Fractions Match-Up (Answers) – Dr Austin
- Algebraic fractions – Median Don Steward
- Challenging algebraic fraction questions – mathshelper.net
- Algebraic Fractions, Solving Equations – Maths4Everyone on TES
- Simplifying Algebraic Fractions – Deliberate Practice – Mr Thompson on TES
- Algebraic Fractions Full Coverage GCSE Questions – compiled by Dr Frost
- Algebraic Fractions (equations) (answers) – 1st Class Maths
- Algebraic Fractions (simplifying) (answers) – 1st Class Maths
- Algebraic Fractions (operations) (answers) – 1st Class Maths
- Algebraic Fractions Revision Practice Grid (Answers) – Dr Austin
- Bridging Unit: Functional Notation – AQA
- An Introduction to Function Notation – TeachIt Maths
- Two-Step Functions Fill in the Blanks (Answers) – Dr Austin Maths
- Three-Step Functions Fill in the Blanks (Answers) – Dr Austin Maths
- Evaluating Two-Step Functions Fill in the Blanks (Answers) – Dr Austin Maths
- Evaluating Three-Step Functions Fill in the Blanks (Answers) – Dr Austin Maths
- Functions questions (answers) – @taylorda01
- Evaluating Functions – mathsworksheetland.com
- Evaluating Functions Crack the Code (Answers) – Dr Austin Maths
- Functions practice questions – transfinite on TES
- Functions and solving – Johnathan Byrne
- Combined Functions – Median Don Steward
- Composite Functions – MathsPad
- Composite Functions Match-Up (Answers) – Dr Austin Maths
- Equations with Composite Functions – Maths4Everyone
- Composite Functions topic review sheet – Maths4Everyone
- Combined Linear Functions – Median Don Steward
- Composite functions worksheet pack – mathsworksheetland.com
- Inverse Functions Fill In The Blanks (Answers) – Dr Austin Maths
- Inverses of Discrete Functions worksheet – mathsworksheetland.com
- Function activities from MathsPad (with subscription)
- Functions – mathshelper.co.uk
- Functions problems – Access Maths
- Functions multiple choice quiz – Tristan Jones on TES
- Functions notes and exercises – CIMT, University of Plymouth
- Functions leading to quadratic equations – Maths4Everyone on TES
- Functions Full Coverage GCSE Questions – compiled by Dr Frost (print-friendly version)
- Function notation exam-style questions (answers) – 1st Class Maths
- Composite functions exam-style questions (answers) – 1st Class Maths
- Functions and equations exam-style questions (answers) – 1st Class Maths
- Inverse functions exam-style questions (answers) – 1st Class Maths
Graphing Functions
- Using and Understanding Graphs True or False – MathsPad
- Exploring Graphs with Desmos – by me!
- Representing Functions of Everyday Situations – Mathematics Assessment Project
- Recognising graphs matching activity – Payphone on TES
- Recognising graphs – Higher GCSE – alexwoodforth1 on TES
- Plotting Cubic Graphs Practice Grid (Answers) – Dr Austin Maths
- Plotting Reciprocal Graphs Practice Grid (Answers) – Dr Austin Maths
- Plotting Harder Non-Linear Graphs Practice Grid (Answers) – Dr Austin Maths
- Recognising Graphs Match-Up (Answers) – Dr Austin Maths
- Solving Equations Graphically Practice Grid (Answers) – Dr Austin Maths
- Plotting Linear and Non-Linear Graphs Revision Practice Grid (Answers) – Dr Austin Maths
- Graphs of linear functions, quadratic functions, simple cubic functions, and the reciprocal function – full lesson – Boss Maths
- Exponential Graphs (Answers) – Corbett Maths
- Graphs of exponential functions – full lesson – Boss Maths
- GCSE Exam Question Practice (non-linear graphs) – Maths4Everyone on TES
- Curve Sketching – cparkinson3 on TES
- Also see ‘Real-life graphs’ in the Shape and Measure library
- Transforming parabolas – by me!
- Translating quadratic graphs – MEI
- Sketch translations and reflections of a given function – full lesson – Boss Maths
- Graph transformations chapter – CIMT
- Translating y = x squared – Median Don Steward
- Graph trasformation blitz – TeachitMaths
- Transforming Graphs card match – Teachit Maths
- Graph Transformation GCSE questions – bland.in
- Transformations of graphs – Corbett Maths
- Drawing Transformations of Graphs Practice Grid (Answers) – Dr Austin
- Describing Transformations of Graphs Practice Grid (Answers) – Dr Austin
- Transformations of Points on Graphs Practice Grid (Answers) – Dr Austin
- GCSE Style Questions – Graph Transformations (Answers) – 1st Class Maths
- A level graph transformations worksheet (solutions) – Solomon
Algebraic Proof and Identities
- If a is an integer – mathspad.co.uk
- Prove it! – mathspad.co.uk
- Arguing mathematically – full lesson – Boss Maths
- Using algebra to construct proofs – full lessons – Boss Maths
- Consecutives – Median Don Steward
- Proof notes and exercises (& answers)- CIMT
- Proof questions – Longitudinal Proof Project
- Quadratic proofs – Median Don Steward
- Algebraic proof worksheet – AQA
- Proof cards – via TAM course
- Proof revision mat – MathedUp!
- Equating coefficients in identities – by me!
- Identities (equating coefficients) – Mr Thompson on TES
- Identities tasks – Nathan Day
- Quadratic expression versions – Don Steward
- Algebraic Proofs – CrashMaths
- Algebraic Proof Practice Strips (Answers) – Dr Austin
- Algebraic Proofs Full Coverage GCSE Questions – compiled by Dr Frost
- Algebraic Proof workbook – Maths4Everyone
- Algebraic Proof Exam Style Questions (answers) – 1st Class Maths
Equation of a Circle & Tangent to a Circle
- Recognising and using the equation of a circle with the centre at the origin – full lesson – Boss Maths
- Finding the equation of a tangent to a circle at a given point- full lesson – Boss Maths
- Circle Equations – Transum
- General formula for a circle – headofslytherin on TES
- Equations of Tangents to Circles – by me!
- Tangent to a circle – scaffolded worksheet – Mr Thompson on TES
- Two tangents meet on the y-axis – Don Steward
- Equation of a circle questions (solutions) – 1st Class Maths
- Equation of a tangent exam style questions (solutions) – 1st Class Maths
- Equation of a circle – GCSE – Difficult! – pbrucemaths on TES
Gradient of a Curve
- Drawing a tangent line – NCTM
- Calculating or estimating gradients of graphs – full lesson – Boss Maths
- Finding the gradient of a curve using a tangent – by me!
- Gradient on a curved graph – Owen134866 on TES
- Gradient and Area Under Graphs – Sequence of lessons – dannytheref on TES
- Using Graphs – CIMT
- Textbook extract – Collins
- Estimating the Gradient of a Curve Practice Grid (Answers) – Dr Austin
- Speed and acceleration graphs – eleanorvickers on TES
- Graphing Activity – @DJUdall
- Gradients of graphs textbook chapter
- Speed Time Graphs (solutions) – 1st Class Maths
- See my blog post New GCSE: Tangents and Areas for information about this new GCSE topic
 |
| Using Graphs – CIMT |
- Estimating the area under a graph – full lesson – Boss Maths
- Using Graphs – CIMT
- Gradient and Area Under Graphs – Sequence of lessons – dannytheref on TES
- Textbook extract – Collins
- Slides & Student sheet & Teacher notes – Nuffield Foundation
- Graphing Activity – @DJUdall
- Area under a graph – by me!
- Areas under curves textbook chapter
- Exam questions – from Edexcel, collated by me
- Speed Time Graphs (solutions) – 1st Class Maths
- See my blog post New GCSE: Tangents and Areas for information about this new GCSE topic
- Algebraic Manipulation Maze – Dan Walker on TES
- Algebra practice makes perfect – Don Steward
- GCSE A Grade Algebra matching cards – colmanweb.com
- Higher Algebra textbook extract – Oxford University Press
