Year 10 - Maths
Checking and securing understanding of converting between ratios, percentages and fractions
Ratio
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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 combine ratios, interpret algebraic ratios, and investigate quantity changes and their effect on ratios.
Lesson Summary
You will learn to move fluently between a ratio, percentage and fractions and compare these.
Key Notes
- A multiplicative relationship can be described by a ratio.
- A multiplicative relationship can be described by a percentage.
- A multiplicative relationship can be described by a fraction.
- It is therefore possible to move between ratio, percentages and fractions.
Vocabulary To Learn
- Ratio: A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole
Common Mistakes To Avoid
- Converting a ratio e.g. 1 : 3 to 1/3 as a fraction.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A multiplicative relationship can be described by a ratio. A multiplicative relationship can be described by a percentage.
2. Use this key word in a maths sentence and explain it clearly. 'Ratio'
A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Converting a ratio e.g. 1 : 3 to 1/3 as a fraction. Correction: Drawing out simple ratios using bars can help pupils to see how fractions can correctly be obtained from a given ratio.
More Lessons In This Unit
- Algebraic ratios Study Guide
- Changing ratios Study Guide
- Checking and securing understanding of equivalent ratios Study Guide
- Checking and securing understanding of real world ratios Study Guide
- Checking and securing understanding of sharing in a ratio Study Guide
- Checking and securing understanding of simplifying and unitising ratios Study Guide
- Combining ratios Study Guide
- Problem solving with algebraic ratios Study Guide
- Problem solving with ratios Study Guide
- Writing equations from ratios Study Guide
Browse all guides in the Year 10 Maths guide library.