Year 10 - Maths
The distributive law with surds
Surds
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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 this unit pupils will learn how to recognise surds, handle them in calculations and rationalise fractions with surds as denominators.
Lesson Summary
You will learn to apply the distributive law to expressions involving surds.
Key Notes
- Knowing how to perform arithmetic operations with surds means the distributive law can be considered.
- Surds could be seen in either the term or the binomial.
Vocabulary To Learn
- Distributive law: The distributive law says that multiplying a sum is the same as multiplying each addend and summing the result.
Common Mistakes To Avoid
- Pupils may struggle with applying the distributive law to expressions involving surds.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Knowing how to perform arithmetic operations with surds means the distributive law can be considered. Surds could be seen in either the term or the binomial.
2. Use this key word in a maths sentence and explain it clearly. 'Distributive law'
The distributive law says that multiplying a sum is the same as multiplying each addend and summing the result. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may struggle with applying the distributive law to expressions involving surds. Correction: The area model can be used here to demonstrate how terms are multiplied when expanding the bracket.
More Lessons In This Unit
- Accuracy of final answers Study Guide
- Addition with surds Study Guide
- Applying the underlying structure of multiplication and division of surds Study Guide
- Identifying square factors to support simplifying surds Study Guide
- Multiplication of surds Study Guide
- Problem solving with surds Study Guide
- Rationalising a single term denominator Study Guide
- Rationalising a two term denominator Study Guide
- Simplifying surds Study Guide
- Solving equations with surds Study Guide
- The distributive law with two or more binomials Study Guide
Browse all guides in the Year 10 Maths guide library.