Year 7 - Maths
Representing a generalised number
Expressions and equations
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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 use a letter to represent a generalised number.
Key Notes
- A letter can be used to represent an unknown number in context.
- A letter can be used to represent a variable number in context.
- A letter can be used in an expression to represent a number in an expression.
- A bar model can be used to represent an expression.
Vocabulary To Learn
- Unknown: An unknown is a quantity that has a set value but it is represented by a symbol or letter.
- Variable: A variable is a quantity that can take on a range of values.
Common Mistakes To Avoid
- Pupils often think a=1 b=2 ... or that a letter represents an object
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A letter can be used to represent an unknown number in context. A letter can be used to represent a variable number in context.
2. Use this key word in a maths sentence and explain it clearly. 'Unknown'
An unknown is a quantity that has a set value but it is represented by a symbol or letter. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils often think a=1 b=2 ... or that a letter represents an object. Correction: Letters represent a numerical value either unknown or variable. Avoid always using the first letter of the words used in a scenario.
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 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
- Substituting particular values Study Guide
Browse all guides in the Year 7 Maths guide library.