Year 6 - Maths
Use multiplication and division to calculate unknown values in ratio problems
Ratio and proportion
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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 describe the relationship between two factors, representing the relationship in different ways. They will build to using a ratio grid to calculate unknown values.
Lesson Summary
You can use multiplication and division to calculate unknown values in ratio problems.
Key Notes
- Different representations can be used to show the same mathematical structure.
- Ratio tables show the multiplicative relationship between variables.
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
- for every: For every allows you to talk about the relative sizes of the values e.g. for every 2 squares there is 1 triangle
Common Mistakes To Avoid
- Seeing multiplication and division as inverse operations e.g. dividing by 2 and multiplying by half.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Different representations can be used to show the same mathematical structure. Ratio tables show the multiplicative relationship between variables.
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: Seeing multiplication and division as inverse operations e.g. dividing by 2 and multiplying by half. Correction: Encourage pupils to express the relationships between values using both multiplication and division.
More Lessons In This Unit
- Describe the relationship between two factors in a ratio context Study Guide
- Explain how and why scaling is used to make and interpret maps Study Guide
- Explain how to represent ratio and to calculate unknown values Study Guide
- Identify and describe the relationship between irregular polygons using scale factors Study Guide
- Identify and describe the relationship between regular polygons using scale factors Study Guide
- Representing ratio in different ways Study Guide
- Solve problems involving ratio Study Guide
- Solve problems involving scaling and ratio Study Guide
- Use knowledge of multiplication and division to solve scaling problems in a range of contexts Study Guide
Browse all guides in the Year 6 Maths guide library.