Year 9 - Maths
The product of two binomials
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 use the distributive law to find the product of two binomials.
Key Notes
- The distributive law can be used to find the product of two binomials.
- An area model can be used to explore the underlying structure.
- Both of the terms in one bracket must be multiplied by both terms in the second.
Vocabulary To Learn
- Binomial: A binomial is an algebraic expression representing the sum or difference of exactly two unlike terms
Common Mistakes To Avoid
- Missing out partial products
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The distributive law can be used to find the product of two binomials. An area model can be used to explore the underlying structure.
2. Use this key word in a maths sentence and explain it clearly. 'Binomial'
A binomial is an algebraic expression representing the sum or difference 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: Missing out partial products. Correction: Relating back to numerical examples and showing that 12 × 34 is not just 10 × 30 + 2 × 4. Using algebra tiles and area models can help to support student's understanding.
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
- Problem solving with expressions and formulae Study Guide
Browse all guides in the Year 9 Maths guide library.