Year 10 - Maths
Checking and securing understanding of simplifying
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 simplify expressions by collecting like terms.
Key Notes
- Like terms and their coefficients can be identified.
- Like terms can be represented using a bar model.
- Like terms can be collected together, paying careful attention to coefficients.
- Expressions are easier to read once you have collected all the like terms.
Vocabulary To Learn
- Like terms: Like terms are terms that have the same set of variables and corresponding exponents.
- Simplify: Simplifying is to write an expression in a more efficient and compact form without affecting the value of the original expression. Fully simplifying means the expression cannot be simplified further.
Common Mistakes To Avoid
- It can be hard to spot like terms where there are multiple variables with exponents. Therefore opportunities to simplify by collecting like terms can be missed.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Like terms and their coefficients can be identified. Like terms can be represented using a bar model.
2. Use this key word in a maths sentence and explain it clearly. 'Like terms'
Like terms are terms that have the same set of variables and corresponding exponents. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: It can be hard to spot like terms where there are multiple variables with exponents. Therefore opportunities to simplify by collecting like terms can be missed. Correction: When multiplying variables together, write the variables in alphabetical order. This will make it easier to identify like terms.
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 solving and interpreting linear equations Study Guide
- Checking and securing understanding of substitution Study Guide
- Checking and securing understanding of the product of two binomials 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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