Year 10 - Maths
Identifying multiple transformations
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 identify what transformations have taken place.
Key Notes
- More than one transformation may have taken place.
- If the size has changed, one shape may be an enlargement of the other.
- If the orientation has changed, one shape may be a rotation of the other.
- If the shapes are mirrored, one shape may be a reflection of the other.
- If the shapes look identical but are in different places, one may be a translation of the other.
Vocabulary To Learn
- Object: The object is the starting figure before a transformation has been applied.
- Image: The image is the resulting figure after a transformation has been applied.
- Vector: A vector can be used to describe a translation.
- Invariant: A property of a shape is invariant if that property has not changed after the shape is transformed.
Common Mistakes To Avoid
- There is only one way to describe what has happened to an object to create its image.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
More than one transformation may have taken place. If the size has changed, one shape may be an enlargement of the other.
2. Use this key word in a maths sentence and explain it clearly. 'Object'
The object is the starting figure before a transformation has been applied. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: There is only one way to describe what has happened to an object to create its image. Correction: Learning cycle 1 explores how different transformations can produce the same image. This is a good way of demonstrating that there is more than one possible description.
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
- Enlargement using a negative scale factor Study Guide
- Multiple transformations Study Guide
- Problem solving with further transformations Study Guide
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