Prior Content: Solving Simple Equations, Substitution, Simplifying Basic Expressions, Solving Quadratics
Possible Next Steps: Simultaneous Equations, Surface Area & Volume, Circle Theorems, Manipulating Formulae/ Changing the Subject, Direct & Inverse Proportion, Sequences, Functions, Algebraic Proof
Contents
- 1.1 Forming & Using Word Equations
- 1.2 Forming Algebraic Equations
- 2.1 Questions in Context
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Forming & Using Word Equations
Teaching Videos, Exercises & Activities
Tutorial Videos
GCSE Maths – What Are Formulas, And How Do I Use Them? by Cognito
Translating Words To Algebraic Expressions Explained! by The Organic Chemistry Tutor
Forming Algebraic Expressions – Corbettmaths by corbettmaths
Online Platforms (with Videos & Exercises)
- Khan Academy
- Forming & solving one-step equations: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Don Steward
- BossMaths
Worksheets
- Maths 4 Everyone
- Words into Expressions (First Steps)
- Words into Expressions (Strengthen)
- Words into Longer Expressions (First Steps)
- Words into Longer Expressions (Strengthen)
- Words into Longer Expressions (Extend)
- Formulae KS2 SATS Questions and Solutions
- Pixi Maths
- Dr Austin Maths
- Mathshelper (Jon Stone)
Dr Frost Resources
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 198b: Write a formula connecting variables with one operation.
- 198d: Write an expression or formula connecting multiple variables, including for total quantity or cost.
- 198e: Write a formula connecting two variables from a rule written in words.
- 259a: Form and solve a linear equation for a given context involving a single occurrence of the variable.
- 259b: Form and solve a linear equation using a given formula and the value of multiple variables.
- 198: Exam Practice: Forming linear algebraic expressions and formulae from a given context
- 259: Exam Practice: Forming and solving linear equations from a given context (excluding angles)
Extension Materials
1.2 Forming Algebraic Equations
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Forming Algebraic Expressions
Corbett Maths Forming Equations
Online Platforms (with Videos & Exercises)
- Khan Academy
- Forming linear equations from word problems: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Transum
- Goal Free Problems
- Go Teach Maths
- Desmos
- Forming and Solving Equations (by Jessica Sands: goal-free problems to form and solve equations)
- steele1989
- Ticktock Maths
- Forming and Solving Equations lesson (slides)
- NCETM
Worksheets
- Dr Austin Maths
- Corbettmaths
- Forming Algebraic Expressions Practice Questions & Solutions
- Forming Algebraic Expressions Worksheet & Solutions
- Think of a Number Practice Questions & Solutions
- Forming Equations Practice Questions & Solutions
- Forming Equations Worksheet✦ & Solutions
- Maths 4 Everyone
- Words into Expressions: First Steps · Strengthen
- Words into Longer Expressions: First Steps · Strengthen · Extend
- Self Marking Sheets by Phil Rhodes
- Writing and solving Equations Excel File
- Maths Genie
- Forming and Solving Equations: Booklet · Worksheet · Solutions · Lesson · Topic page
- Kuta Software
- Naiker Maths
- Forming & Solving Equations: Worksheet
- Access Maths
- Forming Equations from Shapes: Area Shapes Worksheet✦ | Perimeter Shapes Worksheet✦ | Forming & Solving Linear Equations (Fluency & Reasoning)
- Mr Morley Maths
- Forming Expressions and Equations: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (Rachel Mahoney)
- Writing Expressions (Rachel Mahoney, pptx)
Dr Frost Resources
Dr Frost Video
K165: Form an Expression With One Operation and One Variable.
K166: Form an Expression With One Variable and Two Operations.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 198a: Form an expression with one operation and one variable.
- 198c: Form an expression with one variable and two operations.
- 259l: Form and solve a linear equation for the total cost of a purchase.
- 259m: Form and solve a linear equation involving a relationship between two or more items.
- 259n: Form and solve a linear equation involving a relationship between two or more items, including fractions.
- 259o: Form and solve a linear equation involving percentage and/or fractions of amounts.
- 259p: Form and solve a linear equation relating to the relationship between two or more items requiring use of the mean average.
- 259q: Form and solve a linear equation with an unknown on one side for given a function machine.
- 259r: Form and solve a linear equation for a function machine where the input and output are equal.
- 259s: Form and solve a linear equation for a function machine where the input and output are related.
- 259t: Form and solve a linear equation for a given relationship between two sequences.
- 198: Exam Practice: Forming linear algebraic expressions and formulae from a given context
- 259: Exam Practice: Forming and solving linear equations from a given context (excluding angles)
Extension Materials
2.1 Questions in Context
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Equations Involving Perimeter & Angles
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- The Chalkface
- Fenceposts: PowerPoint
- Transum
- Goal Free Problems
- Mr Draper Maths Task Writing – Unintended Consequences
- Go Teach Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Maths 4 Everyone
- Problem Solving 1 KS2 SATS Questions and Solutions
- Problem Solving 2 KS2 SATS Questions and Solutions
- Working Backwards KS2 SATS Questions and Solutions
- Algebra Problems GCSE Questions and Solutions
- Algebraic Proof GCSE Questions and Solutions (Mainly forming Equations)
- Pixi Maths
- CIMT MEP (online self-checking)
- Access Maths
- Forming & Solving Equations Crossover Problem: Problem | Accompany Sheet
- Addition Pyramids with Algebra
- MadAsMaths (T. Madas)
- Equations Exam Questions I Q54 (difficulty 4 of 5)
Dr Frost resources
Dr Frost Video
K168: Form an Expression From the Perimeter of a 2D Shape.
K332: Form and Solve an Equation From the Perimeter of a 2D Shape.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost 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.
- 198i: Determine an expression for an unknown side length given the perimeter or area of a 2D shape.
- 259c: Form and solve a linear equation for the perimeter of a 2D shape.
- 259d: Form and solve a linear equation for the area of a simple 2D shape.
- 259e: Form and solve a linear equation for the area of a trapezium.
- 259f: Form and solve a linear equation for the area of two 2D shapes.
- 259g: Form and solve a linear equation for the area of a composite shape. (not yet active)
- 259h: Form and solve a linear equation for the volume of a cuboid or cube.
- 259i: Form and solve a linear equation for the volume of a prism.
- 259j: Form and solve a linear equation for the surface area of a cuboid or cube.
- 259k: Form and solve a linear equation for the surface area of a prism.
- 263e: Form and solve an equation using algebraic angles to determine an unknown angle on a line or angles around a point.
- 263f: Form and solve an equation using algebraic angles to determine an unknown angle from angles in a triangle or quadrilateral.
- 263g: Form and solve an equation using algebraic angles to determine an unknown angle in a parallelogram, rhombus or trapezium.
- 263h: Form and solve an equation using algebraic angles to determine an unknown angle involving parallel lines.
- 263i: Form and solve an equation using algebraic angles to determine an unknown angle in a polygon.
- 418a: Form (and solve) a quadratic equation or expression from the area of a rectangle.
- 418b: Form (and solve) a quadratic equation or expression using sides of a right-angled triangle where the area is known.
- 418c: Form (and solve) a quadratic equation or expression from the area of a more complex rectilinear shape.
- 418d: Form (and solve) a quadratic equation or expression from the area of a trapezium.
- 418e: Form (and solve) a quadratic equation or expression for the area of a trapezium inside a rectangle.
- 418f: Form (and solve) a quadratic equation or expression by equating the area of two shapes.
- 418g: Form (and solve) a quadratic equation or expression using the sides of a right-angled triangle using Pythagoras’ Theorem.
- 418h: Form (and solve) a quadratic equation or expression using sides of a right-angled triangle where the perimeter is known.
- 418i: Form (and solve) a quadratic equation or expression using the dimensions of a cuboid where the volume is known or where two volumes are equal.
- 418j: Form (and solve) a quadratic equation or expression using the dimensions of a cuboid where the surface area is known.
- 418k: Form (and solve) a quadratic equation or expression using the dimensions of a prism where the volume is known.
- 418l: Form (and solve) a quadratic equation or expression to determine the radius or diameter of a cylinder given its surface area.
- 418m: Form (and solve) a quadratic equation or expression to determine an unknown dimension of a semi-cylinder given its surface area.
- 418n: Form (and solve) a quadratic equation or expression using the dimensions of a cone where the surface area is known.
- 418o: Form (and solve) a quadratic equation or expression for the volume of a cuboid given its net.
- 418p: Write a non-linear expression in one variable by rearranging known relationships between two variables.
- 198: Exam Practice: Forming linear algebraic expressions and formulae from a given context
- 259: Exam Practice: Forming and solving linear equations from a given context (excluding angles)
- 263: Exam Practice: Algebraic expressions and equations using angle facts
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
Online Platforms
- Khan Academy
- Linear equation word problems: Videos & practice
Whole Topic Summary Resources (Including Past Paper Questions)
Download Forming Equations 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
- Forming Expressions as PowerPoint or PDF
Worksheets
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.