Year 10 - Maths
Checking and securing understanding of finding a percentage
Percentages
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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 perform simple and compound interest calculations using percentages.
Lesson Summary
You will learn to describe one number as a percentage of another and calculate a given percentage of an amount efficiently.
Key Notes
- Percentages can be written as a fraction out of 100
- One number can be written as a fraction of another.
- Representations can support the finding a percentage of a quantity.
- A percentage can be written as a decimal called a multiplier.
- This multiplier can be used to find a percentage of an amount.
Vocabulary To Learn
- Equivalent fractions: Two fractions are equivalent if they have the same value.
Common Mistakes To Avoid
- A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Percentages can be written as a fraction out of 100. One number can be written as a fraction of another.
2. Use this key word in a maths sentence and explain it clearly. 'Equivalent fractions'
Two fractions are equivalent if they have the same value. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3. Correction: Two responses can be used to remind students that to covert a percentage into a decimal; we divide by 100; using 3%, ask what 30% is as a decimal and 3% as a decimal. Pupils realise they cannot be the same. A place value chart also helps.
More Lessons In This Unit
- Advanced problem solving with percentages Study Guide
- Calculating compound interest rates Study Guide
- Changing compound interest rates Study Guide
- Checking and securing understanding of percentage decrease Study Guide
- Checking and securing understanding of percentage increase Study Guide
- Compound interest calculations Study Guide
- Compound interest calculations with technology Study Guide
- Percentage profit and loss Study Guide
- Problem solving with percentages Study Guide
- Simple and compound interest Study Guide
- Simple interest calculations Study Guide
- Simple interest calculations with technology Study Guide
Browse all guides in the Year 10 Maths guide library.