Year 6 - Maths
Solve problems involving scaling and 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 identify and describe the relationship between two squares using scale factors.
Key Notes
- Ratio and scaling problems can be represented in similar ways.
- Ratio and scaling problems can be solved in similar ways.
- A ratio table can be used to solve ratio and scaling problems.
Vocabulary To Learn
- scaling: Scaling is the operation of changing one value to another using multiplication or division, using the same factor or divisor
- double number line: A double number line is used to show the relationship between two values, in this case, the distances on the plan and those in real life
Common Mistakes To Avoid
- Not identifying whether they are scaling up a part or the whole amount and how this is represented.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Ratio and scaling problems can be represented in similar ways. Ratio and scaling problems can be solved in similar ways.
2. Use this key word in a maths sentence and explain it clearly. 'scaling'
Scaling is the operation of changing one value to another using multiplication or division, using the same factor or divisor. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Not identifying whether they are scaling up a part or the whole amount and how this is represented. Correction: Ask if it is a part or the whole that you are being asked to work out and articulating where this is in the representation or ratio table.
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
- 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.