Year 9 - Maths
More complex binomial products
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 find more complex binomial products.
Key Notes
- The coefficients of the variable(s) may not be one.
- Sometimes the terms within each binomial are not in the same order.
- Multiplication and addition/subtraction with negative numbers is useful here.
Vocabulary To Learn
- Binomial: A binomial is an algebraic expression representing the sum of exactly 2 unlike terms.
Common Mistakes To Avoid
- Mistakes with partial products are even more common where algebraic terms in the binomials have coefficients greater than 1. It is common to find pupils writing that the product of 2x and 3x is 5x
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The coefficients of the variable(s) may not be one. Sometimes the terms within each binomial are not in the same order.
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 2 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: Mistakes with partial products are even more common where algebraic terms in the binomials have coefficients greater than 1. It is common to find pupils writing that the product of 2x and 3x is 5x. Correction: Reminding pupils that because multiplication is commutative the product of 2x and 3x can be thought of as 2 × 3 × x × x.
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
- Multiplicative relationships between terms 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.