Year 10 - Maths
Checking and securing understanding of percentage increase
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 increase an amount by a given percentage.
Key Notes
- In all of these representations a single multiplier can be used to find a percentage increase.
- Representation can help when you are not using a calculator.
- A multiplier is significantly faster when using a calculator.
- To increase, you are going above the original amount.
Vocabulary To Learn
- Proportion: If two things are proportional then the ratio of part to whole is maintained and the multiplicative relationship between parts is also maintained.
Common Mistakes To Avoid
- A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3. This error continues when increasing amounts e.g increase 40 by 3% has a multiplier of 1.3
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
In all of these representations a single multiplier can be used to find a percentage increase. Representation can help when you are not using a calculator.
2. Use this key word in a maths sentence and explain it clearly. 'Proportion'
If two things are proportional then the ratio of part to whole is maintained and the multiplicative relationship between parts is also maintained. 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. This error continues when increasing amounts e.g increase 40 by 3% has a multiplier of 1.3. Correction: Remind pupils that to covert a percentage into a decimal we divide by 100. This applies with increase too e.g 120% has a multiplier of 1.2.
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 finding a percentage Study Guide
- Checking and securing understanding of percentage decrease 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.