Year 10 - Maths
Advanced problem solving with further 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 use your enhanced knowledge of transformations to solve problems.
Key Notes
- By understanding what changes and what is invariant, you can determine whether a transformation has occurred.
- Sometimes you might need to persevere in order to find the right transformation(s).
- You may be able to check your deductions by carrying out the transformation.
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.
- Invariant: A property of a shape is invariant if that property has not changed after the shape is transformed.
- Invariant point: A point on a shape is invariant if that point has not changed location 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.
By understanding what changes and what is invariant, you can determine whether a transformation has occurred. Sometimes you might need to persevere in order to find the right transformation(s).
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: There may be multiple transformations or combinations of transformations that map the object to the image.
More Lessons In This Unit
- 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
- Identifying multiple transformations Study Guide
- Multiple transformations Study Guide
- Problem solving with further transformations Study Guide
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