Year 6 - Maths
Solve problems involving ratio
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 solve problems involving ratio.
Key Notes
- Division and multiplication can be used to solve ratio problems.
- A table can be used to collect the information needed to solve the problem.
- The representation helps to identify the calculations needed to solve the problem.
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
- Knowing how to create a table or bar model to represent a context presented in words.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Division and multiplication can be used to solve ratio problems. A table can be used to collect the information needed to solve the problem.
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: Knowing how to create a table or bar model to represent a context presented in words. Correction: Discuss the context to identify the parts and the wholes in order to build an appropriate representation of the context.
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 scaling and ratio Study Guide
- Use knowledge of multiplication and division to solve scaling problems in a range of contexts Study Guide
- Use multiplication and division to calculate unknown values in ratio problems Study Guide
Browse all guides in the Year 6 Maths guide library.