2015 Just Mathematics Answer Key

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.

In addition to the resources listed below, see my blog post 'Introducing Algebra' for more ideas.

Forming Expressions

Introduction to writing algebraically - by me!
Translating English to algebra - Median Don Steward
Introduction to algebra - newmrsc on TES
Forming expressions textbook exercise - Corbett Maths
Algebraic expressions - Hwb/Welsh Govt
Number tricks - mathspad.co.uk
Three operations, expressions - Median Don Steward
Algebraic expressions - Standards Unit
abc - SMILE
Words won't fail me - SMILE

Simplifying Expressions

One incorrect simplification - Median Don Steward

Expanding Single Brackets

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
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 brackets gap fill challenge - armathematics on TES
Miscellaneous Brackets - typed up by @InteractMaths

Expanding Double Brackets

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
Equivalence route - Median Don Steward
Multiplying two brackets - Maths4Everyone on TES
Expanding double brackets textbook exercise - Corbett Maths
Describing area - mathspad.co.uk
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 double brackets (with grids) - ayoob
A level expanding worksheet (solutions) - Solomon
Expanding/factorising card sort, student sheet, notes & ppt - Nuffield Foundation

Factorising (Single Brackets)

Series of lessons on expanding and factorising - cparkinson3 on TES
Basic Factorising - full lesson - Boss Maths
Factorisation textbook exercise - Corbett Maths
Factorising questions (answers & supporting materials) - @taylorda01
Factors by grouping - typed up by @PaulRodrigo2718
Subtle Factorising - mathshelper.co.uk
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
Rearranging Formula booklet - Aquinas Maths Department
Changing the subject activity - The Chalk Face
Changing the subject of science formulae - by me!
Rearranging Real Life Equations - abcwpresents on TES
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 - 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

Linear Sequences

nth term of a linear sequence practice - DrAustinMaths.com (answers here)
Linear sequences fill in the blanks - DrAustinMaths.com (answers here)
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
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
Position-to-term rules questions (answers) - @taylorda01
Linear sequences dominoes - Teachit Maths
Sequences Search - Tristan Jones
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!
Nth term of quadratic sequences questions (answers) - @taylorda01
Quadratic sequences - Don Steward
Quadratic nth term - Don Steward
Quadratic sequences textbook chapter
Quadratic sequences worksheet - Ed Southall
Quadratics sequences lesson - We Teach Maths
Quadratic sequences mixed worksheet - Maria Howard
A25 Nth term of quadratic sequences - Edexcel

Other Sequences

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)
Recognising and using Fibonacci type sequences - Boss Maths
Nth term formulae - Maths4Everyone on TES
Term-to-term rules matching cards - Teachit Maths
Types of sequence puzzles - MathsPad
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
A24 Simple geometric progression - Edexcel
Geometric sequences - Median Don Steward
Geometric sequences - some with surds - Median Don Steward
Sequences chapter (answers), slides and exercises - CIMT
A24 Special sequences - Edexcel

Steps to Solving Equations - MAP

Linear Equations

Solving equations - visual scaffolding - mathspad.co.uk
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
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
Solving equations with brackets - @FortyNineCubed
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
Solving linear equations - Cazoom Maths
Solving equations - angles and perimeter - Maths Teacher Hub
Expression polygons - Colin Foster
Linear equation extras - Median Don Steward
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

Linear and Graphical Inequalities

Evaluating Statements about Number Operations - Mathematics Assessment Project
Inequalities and number lines - Maths4Everyone on TES
Compound inequalities - Maths4Everyone on TES
Set notation for inequalities (new GCSE) - by me!
Inequalities worksheet - Ed Southall
Inequalities Spiders - Andy Lutwyche on TES
Inequalities and number lines - TeachIt Maths
Interactive inequality equations - amathsteacherwrites.co.uk
Introduction to inequalities - lesson plans and activities - Project Maths
Linear Inequalities - Median Don Steward
Inequalities on a number line (mini-whiteboard activity) - Teachit 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
Inequalities practice/revision - AS Resource Pack
Inequalities Chapter (answers) - CIMT
Linear programming extension - MEI

Introduction to Inequalities - projectmaths.ie

Quadratic Inequalities

Quadratic inequalities worksheets - SRWhitehouse on TES
Quadratic inequalities worksheet - phildb on TES
Quadratic inequalities - mssteelmaths.com
Inequality match up - vhepworth22 on TES
Spot the mistake - by me!
Interactive teaching resource - quadratic inequalities - WJEC
A22 Quadratic inequalities - Edexcel
Inequalities for some occasions - Underground Mathematics
A level inequalities worksheet (solutions) - Solomon
A level inequalities problem solving worksheet (solutions) - Solomon
See my blog post for teaching methods

Linear Graphs
Plotting

Drawing Straight Line Graphs booklet - Teachit Maths
Plotting Linear Graphs Practice Grid (Answers) - DrAustinMaths
Plotting graphs - Median Don Steward
The algebra of straight lines - TeachIt Maths
Graph snaps - Don Steward

Equations - gradient and intercept

Gradient - mathshko
Finding Gradients of Straight Lines Practice Grid (Answers) - DrAustinMaths
Finding Fractional Gradients Practice Grid (Answers) - DrAustinMaths
Gradient exercise - CorbettMaths
Gradient resources and geogebra tools
Straight line investigation - Great Maths Teaching Ideas
Equations of straight lines - PrescotMaths on TES
Gradient and intercept from an equation - rogradymaths.blogspot.co.uk
Straight Line Graphs in Desmos - by me!
'Understanding y = mx+c' worksheet - Teachit Maths
Equation of a Straight Line Fill In The Blanks (Answers) - DrAustinMaths
Horizontal and vertical lines activities - Teachit Maths
Blog post: 'All about gradient'

Parallel and perpendicular

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!
Perpendicular lines: equations - toticity.co.uk
Parallel and Perpendicular Lines Spiders - alutwyche on TES

Mixed

Straight line graphs problem solving - Maria Howard on TES
Coordinate Geometry Problems - Access Maths
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
A level coordinate geometry worksheet (solutions) - Solomon
Linear graphs GCSE questions - AQA and Edexcel, compiled by me!

Quadratic discs - Colmanweb

Trial and Improvement

See my blog post on Trial and Improvement for ideas and resources

Iteration

Iteration lesson - full lesson - Boss Maths
Bridging Units: Resource Pocket 4 - Iterative methods for solving equations numerically - AQA
Iteration worked solution card match - SiouxzieD on TES
Destination Douze and Iteration - Don Steward
A20 Iterations - Edexcel
Solving cubic equations iteratively - Median Don Steward
Iteration to solve equations - toticity.co.uk
Iterations - CrashMaths

Simultaneous Equations