Year 9 - Maths
Problem solving with expressions and formulae
Expressions and formulae
Study Hub
Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit develops pupil understanding of formulae and how to rearrange them. Pupils will learn how to recognise and manipulate binomials and learn to recognise the difference of two squares.
Lesson Summary
You will learn to use your knowledge of expressions and formulae to solve problems.
Key Notes
- Expressions can be used whenever you wish to generalise.
- This can be very useful when there is something you do not know and wish to calculate.
- Situations involving expressions can occur in a variety of contexts.
Vocabulary To Learn
- Binomial: A binomial is an algebraic expression representing the sum of exactly two unlike terms.
Common Mistakes To Avoid
- When subtracting expression pupils forget to subtract both terms from the second espression.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Expressions can be used whenever you wish to generalise. This can be very useful when there is something you do not know and wish to calculate.
2. Use this key word in a maths sentence and explain it clearly. 'Binomial'
A binomial is an algebraic expression representing the sum of exactly two unlike terms. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When subtracting expression pupils forget to subtract both terms from the second espression. Correction: Watch out for mistakes with negatives here. Pupils should find it much easier to re-write subtractions as additions of additive inverses and that way they only need to add.
More Lessons In This Unit
- Additive relationships Study Guide
- Changing the subject to suit the context Study Guide
- Changing the subject with more complex formula Study Guide
- Changing the subject with simple formula Study Guide
- Checking and securing solving linear equations Study Guide
- Checking and securing understanding of the distributive law with algebraic terms Study Guide
- Difference of two squares Study Guide
- Evaluating expressions with and without changing the subject Study Guide
- More complex binomial products Study Guide
- Multiplicative relationships between terms Study Guide
- The product of two binomials Study Guide
Browse all guides in the Year 9 Maths guide library.