Prior Content: Basic Operations +-x/, Using a Calculator/ BIDMAS, Indices, Solving Simple Equations
Possible Next Steps: Functions, Solving Quadratics (Using the Formula), Sequences, Volume & Surface Area, Drawing & Using Graphs, Linear Graphs & Gradients, Direct & Inverse Proportion, Compound Measures, Upper & Lower Bounds, Iterations, Forming Equations, Differentiation, Simultaneous Equations, Algebraic Proof, Pythagoras
Contents
- 1.1 Basic Substitution
- 1.2 Substitution with Negative Numbers
- 2.1 Substitution with Indices
- 3.1 Substitution into Formulae (Including Rearranging)
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Basic Substitution
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Substitution into Expressions (Up to 1:41)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Substitution (evaluating expressions): Videos & practice
Activities & Resources
- Maths 4 Everyone
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- Don Steward
- Getting a Positive Whole Number
- Expressions Quadrilaterals
- Find the Expressions
- Loop Cards✦
- Selecting Thoughtfully
- Pattern Answers✦
- Developing✦
- Substitute
- Substitution Branching✦
- Number Fitting
- Vegetable Relationships
- Area and Perimeter Substitution
- Racetrack Substitution Game
- Substituting Steps
- Consecutive Values
- Substitution 'Cards'
- Integer Pairs
- Transum
- Goal Free Problems
- Go Teach Maths
- mathsteaching.wordpress.com
- dooranran
- #TypedUp
- Substitution with fractions✦ (typed up by Steve Bishop)
- Ticktock Maths
Worksheets
- Corbettmaths
- Maths 4 Everyone
- Single Variable Substitution First Steps
- Single Variable Substitution Strengthen
- Single Variable Substitution Extend
- Multiple Variables Substitution First Steps
- Multiple Variable Substitution Strengthen
- Multiple Variable Substitution Extend
- Single Variable Substitution Codebreaker Stage 1
- Single Variable Substitution Codebreaker Stage 2
- Multiple Variable Substitution Codebreaker
- CIMT MEP (online self-checking)
- Kuta Software
- Access Maths
- @taylorda01
- Mr Morley Maths
- Substitution: Notes jotter/worksheet · How-to sheet
- Pret Homework (@MellowsMaths)
- Substitution (@MellowsMaths, pptx)
Dr Frost Resources
Dr Frost Video
K136: Substitute With One Variable (Single Operation).
K137: Substitute With One Variable (Single Operation Plus Constant).
K138: Substitution With One Variable (Multiple Operations).
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
- 136a: Substitute positive integers into expressions with one variable (single operation).
- 136b: Substitute positive integers into expressions with one variable (single operation plus constant).
- 136c: Substitute positive integers into simple expressions with more than one variable.
- 136d: Substitute positive integers into a simple worded formula.
- 197a: Substitute decimals into basic algebraic expressions and formulae involving arithmetic operations.
- 197c: Substitute decimals into basic algebraic expressions and formulae with variables on the denominator.
- 197d: Substitute decimals into algebraic expressions and formulae with two variables.
- 197i: Substitute fractions into basic algebraic expressions and formulae involving arithmetic operations.
- 197k: Substitute fractions into basic algebraic expressions and formulae with variables on the denominator.
- 136: Exam Practice: Basic substitution with positive integers (limited to addition, subtraction, division and multiplication)
- 197: Exam Practice: Substitution with decimals, negative integers and fractions
Extension Materials
1.2 Substitution with Negative Numbers
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Substitution into Expressions (From 1:41)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Substitution with negative numbers: Videos & practice
Activities & Resources
- Math = Love (Sarah Carter)
- Don Steward
- Go Teach Maths
- Ticktock Maths
Worksheets
- Corbettmaths
- CIMT MEP (online self-checking)
- Access Maths
- Starting Points Maths
Dr Frost Resources
Dr Frost Video
K140: Substitution With Negative Numbers.
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
- 197e: Substitute negative numbers into basic algebraic expressions and formulae involving arithmetic operations.
- 197g: Substitute negative numbers into basic algebraic expressions and formulae with variables on the denominator.
- 197: Exam Practice: Substitution with decimals, negative integers and fractions
Extension Materials
2.1 Substitution with Indices
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Algebra Substitution – GCSE Maths by JEDMATHS
Substitution into Expressions – Corbettmaths by corbettmaths
Substitution (Higher & Foundation) | GCSE Maths Tutor by The GCSE Maths Tutor
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Mr Pullin Substitution DC & Marvel Top Trumps Cards
- Don Steward
- Go Teach Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Substitution Practice Questions & Solutions
- Substitution Worksheet & Solutions
- Maths 4 Everyone
- Pixi Maths
Dr Frost resources
Dr Frost Video
K140: Substitution With Negative Numbers.
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
- 196a: Substitute positive integers into an expression with one variable, including powers, roots and brackets.
- 196b: Substitute positive integers into an expression with two variables, including powers, roots and brackets.
- 197b: Substitute decimals into more general basic algebraic expressions and formulae, including powers, roots and brackets.
- 197f: Substitute negative numbers into more general basic algebraic expressions and formulae, including powers, roots and brackets.
- 197j: Substitute fractions into more general basic algebraic expressions and formulae, including powers, roots and brackets.
- 196: Exam Practice: Further substitution with positive integers (including powers, roots and brackets)
- 197: Exam Practice: Substitution with decimals, negative integers and fractions
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
Videos & Other Multimedia
3.1 Substitution into Formulae (Including Rearranging)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Substitution into formula: GCSE maths revision tutor: by Oxford Mathematics Education – Yarm
Substitution by Maths Genie
Online Platforms (with Videos & Exercises)
- Khan Academy
- Substitution with multiple variables: Videos & practice
Activities & Resources
- Andy Lutwyche
- Don Steward
- Goal Free Problems
- Go Teach Maths
- BossMaths
- Ticktock Maths
- Substitution into Formulae lesson (slides)
Worksheets
Dr Frost resources
Dr Frost Videos
- KS 233 Calculate a bearing given an angle.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 136e: Determine the value of a variable in an equation given the value of one variable within it.
- 196c: Substitute positive integers into an algebraic formula with two variables to find the value of the subject.
- 197h: Convert temperatures between Fahrenheit and Celsius using a formula.
- 259b: Form and solve a linear equation using a given formula and the value of multiple variables.
- 136: Exam Practice: Basic substitution with positive integers (limited to addition, subtraction, division and multiplication)
- 196: Exam Practice: Further substitution with positive integers (including powers, roots and brackets)
- 197: Exam Practice: Substitution with decimals, negative integers and fractions
- 259: Exam Practice: Forming and solving linear equations from a given context (excluding angles)
Further Practice
- Practise Questions
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Substitution 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
- Substitution as PowerPoint or PDF
Worksheets
- Maths 4 Everyone
- Maths Genie
- Substitution: Booklet · Worksheet · Solutions · Lesson · Topic page
Activities
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.