Year 10 - Maths
Checking and securing understanding of real world ratios
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 apply your knowledge of ratios to real world contexts.
Key Notes
- Bar models, ratio tables and double number lines can help with ratios.
- Real-life scaling involves writing a ratio involving the parts which are dependent on each other.
- A recipe is an example as to scale the recipe up or down requires keeping the proportions of the ingredients the same.
Vocabulary To Learn
- Proportion: A part to whole (sometimes part to part) comparison. 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
- Not converting the units correctly in a question or forgetting to have the same units before simplifying a ratio
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Bar models, ratio tables and double number lines can help with ratios. Real-life scaling involves writing a ratio involving the parts which are dependent on each other.
2. Use this key word in a maths sentence and explain it clearly. 'Proportion'
A part to whole (sometimes part to part) comparison. 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: Not converting the units correctly in a question or forgetting to have the same units before simplifying a ratio. Correction: help pupils to set out ratio tables where they include the units and work through step by step to convert correctly before simplifying. The ratio table can help organise this working.
More Lessons In This Unit
- Algebraic ratios Study Guide
- Changing ratios Study Guide
- Checking and securing understanding of converting between ratios, percentages and fractions Study Guide
- Checking and securing understanding of equivalent 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.