Year 6 - Maths
Identify and describe the relationship between regular polygons using scale factors
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 regular polygons using scale factors.
Key Notes
- Two similar shapes can be described as being 'x' times greater or smaller than each other.
- If one similar shape is smaller than another, the scale factor is a fraction.
- Shapes related by a scale factor are similar.
Vocabulary To Learn
- dimensions: The dimensions of an object or shape are the lengths of its sides and edges
- scale factor: A scale factor is the ratio between the dimensions of the original shape and the new shape. The scale factor can be an integer or a fraction
- regular polygon: A regular polygon has all sides the same length and all angles equal
- similar shapes: Similar shapes can be transformed into each other by scaling their dimensions by the same scale factor
Common Mistakes To Avoid
- That regular polygons include all familiar shapes even if they don't meet the definition.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Two similar shapes can be described as being 'x' times greater or smaller than each other. If one similar shape is smaller than another, the scale factor is a fraction.
2. Use this key word in a maths sentence and explain it clearly. 'dimensions'
The dimensions of an object or shape are the lengths of its sides and edges. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That regular polygons include all familiar shapes even if they don't meet the definition. Correction: Reinforce the definition and apply to the regular shapes which appear in this lesson.
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
- 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
- Use multiplication and division to calculate unknown values in ratio problems Study Guide
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