Year 10 - Maths
Enlargement using a negative scale factor
Further transformations
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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 apply their knowledge of transformations to explore negative enlargement factors and the application of multiple transformations.
Lesson Summary
You will learn to perform a given enlargement on an object.
Key Notes
- Each length in the shape is multiplied by the scale factor.
- Each vertex in the object is a given distance from the centre of enlargement.
- This distance is also multiplied by the scale factor to give the distance of the image's vertex.
- A negative scale factor produces an image that is the other side of centre of enlargement.
- To enlarge, you need the centre of enlargement and a scale factor.
Vocabulary To Learn
- Transformation: A transformation is a process that may change the size, orientation or position of a shape.
- Enlargement: Enlargement is a transformation that causes a change of size.
- Scale factor: A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.
- Centre of enlargement: The centre of enlargement is the point from which a shape is enlarged.
Common Mistakes To Avoid
- Pupils may think that a negative scale factor creates a smaller image than the object.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Each length in the shape is multiplied by the scale factor. Each vertex in the object is a given distance from the centre of enlargement.
2. Use this key word in a maths sentence and explain it clearly. 'Transformation'
A transformation is a process that may change the size, orientation or position of a shape. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may think that a negative scale factor creates a smaller image than the object. Correction: Remind them that the absolute value will be less than 1 and greater than 0 to create a smaller image. Whether the scale factor is positive or negative does not affect this.
More Lessons In This Unit
- Advanced problem solving with further transformations Study Guide
- Checking and securing understanding of congruence and similarity Study Guide
- Checking and securing understanding of enlargement with positive fractional scale factors Study Guide
- Checking and securing understanding of enlargement with positive integer scale factors Study Guide
- Checking and securing understanding of reflection Study Guide
- Checking and securing understanding of rotation Study Guide
- Checking and securing understanding of translation Study Guide
- Describing a negative enlargement Study Guide
- Identifying multiple transformations Study Guide
- Multiple transformations Study Guide
- Problem solving with further transformations Study Guide
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