Year 10 - Maths
Checking and securing understanding of the product of two binomials
Algebraic manipulation
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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 algebraic manipulation, pupils use apply knowledge of the distributive law to find the product of two binomaials in order to factorise quadratics.
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 2 unlike terms.
- Partial product: Any of the multiplication results that lead up to an overall multiplication result.
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 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: Missing out partial products. Correction: Use an area model to demonstrate this. If pupils do not wish to draw the models they should be using the distributive law instead e.g. (x + 2)(x + 3) as x(x + 3)+2(x + 3).
More Lessons In This Unit
- Advanced problem solving with algebraic manipulation Study Guide
- Checking and securing understanding of changing the subject Study Guide
- Checking and securing understanding of expanding a single bracket Study Guide
- Checking and securing understanding of factorising Study Guide
- Checking and securing understanding of forming linear equations Study Guide
- Checking and securing understanding of simplifying Study Guide
- Checking and securing understanding of solving and interpreting linear equations Study Guide
- Checking and securing understanding of substitution Study Guide
- Factorising a quadratic expression Study Guide
- Factorising quadratics of the form ax^2 + bx + c Study Guide
- Factorising using the difference of two squares Study Guide
- Further algebraic terminology Study Guide
- Problem solving with algebraic manipulation Study Guide
- Solving complex quadratic equations by completing the square Study Guide
- Solving quadratic equations by completing the square Study Guide
- Solving quadratic equations by factorising Study Guide
- Solving quadratic equations by factorising where rearrangement is required Study Guide
- Solving quadratic equations by using the formula Study Guide
- The product of three binomials Study Guide
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