Year 7 - Maths
Substituting particular values
Expressions and equations
Study Hub
Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.
Lesson Summary
You will learn to substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes.
Key Notes
- Expressions and formulae in context can be evaluated for particular values.
- Changing the value of the letter changes the expression.
- Exploring what values give a particular solution can help understand the expression.
- Expressions may have multiple variables and we can substitute some or all of them for numbers.
Vocabulary To Learn
- Substitution: Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values.
Common Mistakes To Avoid
- Pupils may struggle with exponents especially which value to square when variables have coefficients
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Expressions and formulae in context can be evaluated for particular values. Changing the value of the letter changes the expression.
2. Use this key word in a maths sentence and explain it clearly. 'Substitution'
Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may struggle with exponents especially which value to square when variables have coefficients. Correction: Reminder of priority of operations and the exponent acts on the value it is directly preceded by.
More Lessons In This Unit
- Algebraic notation Study Guide
- Algebraic terminology Study Guide
- Checking understanding of expressions and equations Study Guide
- Factorising expressions Study Guide
- Generalised algebraic statements Study Guide
- Highest common factor with algebraic terms Study Guide
- Like terms Study Guide
- Multiplying an expression by a constant Study Guide
- Multiplying an expression by a term Study Guide
- Multiplying and simplifying with multiple expressions Study Guide
- Problem solving with expressions and equations Study Guide
- Representing a generalised number Study Guide
- Representing an unknown or variable Study Guide
- Securing understanding of expressions and equations Study Guide
- Simplifying before multiplying with multiple expressions Study Guide
- Simplifying by collecting like terms Study Guide
Browse all guides in the Year 7 Maths guide library.