Year 10 - Maths
Checking and securing understanding of reflection
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 a reflection and perform a given reflection on an object.
Key Notes
- The line of reflection can be vertical/horizontal/diagonal.
- The line of reflection may go through part of the object.
- The line of reflection may not touch the object.
- To reflect, you need a line to reflect in.
Vocabulary To Learn
- Transformation: A transformation is a process that may change the size, orientation or position of a shape.
- Reflection: A reflection of a shape is the mirror image of the shape. An object is reflected when it is flipped over a fixed line (line of reflection), without the image being turned or its size changing.
- Line of reflection: The line of reflection is the fixed line about which an object is reflected. The object and image are equidistant from the line of reflection.
- 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.
Common Mistakes To Avoid
- Pupils may find reflecting across a diagonal line more challenging than vertically or horizontally.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The line of reflection can be vertical/horizontal/diagonal. The line of reflection may go through part of the object.
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 find reflecting across a diagonal line more challenging than vertically or horizontally. Correction: Pupils may find it easier with tracing paper, or rotating their book/paper so the line of reflection is vertical.
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 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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