Year 11 - Maths
Checking and securing understanding of changing the subject with simple algebraic fractions
Algebraic fractions
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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 apply skills in manupulating and solving various equations and formulae to algebraic fractions in order to change the subject and manipulate them.
Lesson Summary
You will learn to change the subject when a simple algebraic fraction is present in an equation or formula.
Key Notes
- It is important to apply the inverse operations in the right order.
- The subject can be thought of as the unknown you are trying to find the value of.
- Instead of finding a value though, you will find an expression that the unknown is equal to.
Vocabulary To Learn
- Subject of an equation/formula: The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1
Common Mistakes To Avoid
- When rearranging multiplicative relationships, the values just 'swap'.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
It is important to apply the inverse operations in the right order. The subject can be thought of as the unknown you are trying to find the value of.
2. Use this key word in a maths sentence and explain it clearly. 'Subject of an equation/formula'
The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When rearranging multiplicative relationships, the values just 'swap'. Correction: Pupils should understand how to manipulate multiplicative relationships properly instead of relying on a 'trick'. This will be useful in other subject areas as well.
More Lessons In This Unit
- Changing the subject where the variable appears in multiple terms Study Guide
- Changing the subject with multiple algebraic fractions Study Guide
- Checking and securing understanding of solving with simple algebraic fractions Study Guide
- Operations with algebraic fractions Study Guide
- Problem solving with advanced algebraic fractions Study Guide
- Simplifying algebraic fractions Study Guide
- Solving equations with algebraic fractions Study Guide
Browse all guides in the Year 11 Maths guide library.