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.
Quick links: Forming Expressions | Function Machines | Simplifying Expressions | Expanding Single Brackets | Expanding Double Brackets | Expanding Cubics | Factorising (Single Brackets) | Rearranging Formulae | Substitution | Linear Sequences | Quadratic Sequences | Other Sequences | Linear Equations | Inequalities | Quadratic Inequalities | Linear Graphs | Quadratics | Trial & Improvement | Iteration | Simultaneous Equations | Algebraic Fractions | Functions | Graphing Functions | Graph Transformations | Algebraic Proof and Identities | Equation of Circle & Tangent | Gradient of a Curve | Area under a Graph | Revision
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
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- 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
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| 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
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- 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
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| 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
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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
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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
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- 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
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- 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
- Types of sequences GCSE style questions (answers) - 1st Class Maths
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| 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
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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
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| 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
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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
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Factorising Quadratics Practice from @DJUdall
- 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
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- 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
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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
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- 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
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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
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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
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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
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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
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| 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
