Year 7 - Maths
Problem solving with expressions and equations
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 your knowledge of expressions and equations to solve problems.
Key Notes
- Standardised notation is important when using algebra.
- Algebra allows us to generalise real life problems.
- Algebra allows us to express relationships so that everyone can understand them.
Vocabulary To Learn
- Expression: Expressions contain one or more terms, where each term is separated by an operator.
- Variable: A variable is a quantity that can take on a range of values.
Common Mistakes To Avoid
- A variable and an unknown are the same thing.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Standardised notation is important when using algebra. Algebra allows us to generalise real life problems.
2. Use this key word in a maths sentence and explain it clearly. 'Expression'
Expressions contain one or more terms, where each term is separated by an operator. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: A variable and an unknown are the same thing. Correction: A variable's value is not fixed. It can take any value within a given range. This means algebraic statements using variables can form proofs.
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
- 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.