Year 7 - Maths
Checking understanding of expressions and equations
Expressions and equations
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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 generalise a situation using words to express what is happening.
Key Notes
- Linear sequences can be generated from a rule.
- Linear sequences that follow a rule can be described in words.
- Changing one part of a situation can affect other parts.
Vocabulary To Learn
- Generalise: To generalise is to formulate a statement or rule that applies correctly to all relevant cases.
Common Mistakes To Avoid
- Pupils might think that a pattern increasing by 3 each time has the rule add 3.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Linear sequences can be generated from a rule. Linear sequences that follow a rule can be described in words.
2. Use this key word in a maths sentence and explain it clearly. 'Generalise'
To generalise is to formulate a statement or rule that applies correctly to all relevant cases. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils might think that a pattern increasing by 3 each time has the rule add 3. Correction: Pupils should think about the number of lines per square and the relationship between squares and lines. Avoid consecutive patterns to start.
More Lessons In This Unit
- Algebraic notation Study Guide
- Algebraic terminology 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
- Substituting particular values Study Guide
Browse all guides in the Year 7 Maths guide library.