Year 9 - Maths
Multiplicative relationships between terms
Expressions and formulae
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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 appreciate that a multiplicative relationship between variables can be written in a number of different ways.
Key Notes
- When multiplying terms, there are not the same restrictions.
- The result of multiplication is called the product.
- ab = c also means that a = c/b
- a = c/b can also be written as a = c x 1/b
Vocabulary To Learn
- Product: A product in algebra is the result of two or more terms multiplied together.
Common Mistakes To Avoid
- Rather than learning to rearrange multiplicative relationships pupils can just learn the rearrangements or use a trick.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When multiplying terms, there are not the same restrictions. The result of multiplication is called the product.
2. Use this key word in a maths sentence and explain it clearly. 'Product'
A product in algebra is the result of two or more terms multiplied together. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Rather than learning to rearrange multiplicative relationships pupils can just learn the rearrangements or use a trick. Correction: There are many situations in school and out where this skill is valuable and understanding how to manipulate these relationships will help pupils to understand the mathematics rather than just learn a set of procedures or lots of formulae.
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
- Problem solving with expressions and formulae Study Guide
- The product of two binomials Study Guide
Browse all guides in the Year 9 Maths guide library.