Year 6 - Maths
Use knowledge of multiplication and division to solve scaling problems in a range of contexts
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 knowledge of multiplication and division to solve scaling problems in a range of contexts.
Key Notes
- Multiplication and division are used to convert between measurements on a map or plan and those in real life.
- Working with scale can involve fractions of measures.
- Two scales can look different but be equivalent.
Vocabulary To Learn
- scale: A scale is used to show how the distances on a map or plan relate to distances in real life
- 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
- Failing to spot the change in unit of measure between the scale and real life.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplication and division are used to convert between measurements on a map or plan and those in real life. Working with scale can involve fractions of measures.
2. Use this key word in a maths sentence and explain it clearly. 'scale'
A scale is used to show how the distances on a map or plan relate to distances in real life. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Failing to spot the change in unit of measure between the scale and real life. Correction: Describe the scale and identify the unit of measure used on the map or plan and the unit of measure used in real life.
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 multiplication and division to calculate unknown values in ratio problems Study Guide
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