Year 7 - Maths
Generalised algebraic statements
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 relationships that have been generalised using algebraic statements.
Key Notes
- Relationships in context can be expressed using letters to represent the unknown values.
- Formulae in context can be expressed using letters to represent the unknown values.
- Number patterns can be expressed using letters to represent the unknown values.
Vocabulary To Learn
- Equation: An equation is used to show that one number or calculation is equal to another.
- Expression: Expressions contain one or more terms, where each term is separated by an operator.
- Formula: A formula is a rule linking sets of physical variables in context. The plural of formula is formulae.
Common Mistakes To Avoid
- Pupils may thing that letters represent an item e.g a week equals 7 days so w=7d
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Relationships in context can be expressed using letters to represent the unknown values. Formulae in context can be expressed using letters to represent the unknown values.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show that one number or calculation is equal to another. 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 thing that letters represent an item e.g a week equals 7 days so w=7d. Correction: Get pupils to identify what value the letter represents e.g the number of days then say a number sentence that describes the relationship.
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
- 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
- Substituting particular values Study Guide
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