Year 10 - Maths
Describing a negative enlargement
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 describe an enlargement.
Key Notes
- If the image is the opposite side of the centre of enlargement and rotated 180°, there is a negative scale factor.
- If the image has changed size, there has been an enlargement with scale factor ≠ 1.
- To describe an enlargement, you must state the centre of enlargement and the 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.
- Absolute value: The absolute value of a number is its distance from zero.
Common Mistakes To Avoid
- Pupils may want to write the transformation as two transformations, a rotation of 180° followed by an enlargement by a positive scale factor, rather than a single transformation.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the image is the opposite side of the centre of enlargement and rotated 180°, there is a negative scale factor. If the image has changed size, there has been an enlargement with scale factor ≠ 1.
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 want to write the transformation as two transformations, a rotation of 180° followed by an enlargement by a positive scale factor, rather than a single transformation. Correction: Remind pupils that a single transformation is more efficient than multiple transformations.
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
- Enlargement using a negative scale factor Study Guide
- Identifying multiple transformations Study Guide
- Multiple transformations Study Guide
- Problem solving with further transformations Study Guide
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