Year 11 - Maths
Problem solving with advanced 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 use your knowledge of advanced algebraic fractions to solve problems.
Key Notes
- Real world formula can be complex and contain multiple variables.
- When rearranging, you can sometimes check equivalence numerically.
- Algebraic fractions follow the same rules as fractions.
Vocabulary To Learn
- Compound interest: Compound interest is the interest calculated on the original amount and the interest accumulated over the previous period.
- Tree diagrams: Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.
- Probability tree: Each branch of a probability tree shows a possible outcome from an event or from a stage of a trial, along with the probability of that outcome happening.
Common Mistakes To Avoid
- Thinking the multiplier for a 2% increase is either 0.02 or 1.2
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Real world formula can be complex and contain multiple variables. When rearranging, you can sometimes check equivalence numerically.
2. Use this key word in a maths sentence and explain it clearly. 'Compound interest'
Compound interest is the interest calculated on the original amount and the interest accumulated over the previous period. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Thinking the multiplier for a 2% increase is either 0.02 or 1.2. Correction: A 2% increase is 100% + 2% of the original amount. 102% is equivalent to 1.02 as a decimal.
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 changing the subject with simple algebraic fractions Study Guide
- Checking and securing understanding of solving with simple algebraic fractions Study Guide
- Operations with 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.