Year 7 - Maths
Introduction to reflections
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
This unit introduces pupils to shape tranformations: enlargements, rotations, reflections and translations both by hand and with technology.
Lesson Summary
You will learn to understand the nature of reflections and appreciate what changes and what is invariant.
Key Notes
- The length of the lines do not change when reflected.
- The angles inside an object do not change when reflected.
- When an object is reflected, its image is congruent.
Vocabulary To Learn
- 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.
- Sense: The sense of an object is the direction of the orientation of the object.
Common Mistakes To Avoid
- Just because the sense has changed, it doesn't mean a reflection has occurred.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The length of the lines do not change when reflected. The angles inside an object do not change when reflected.
2. Use this key word in a maths sentence and explain it clearly. '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. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Just because the sense has changed, it doesn't mean a reflection has occurred. Correction: If an image has a different sense to its object, there has definitely been a reflection - the line of reflection may be at an obscure angle.
More Lessons In This Unit
- Checking understanding of basic transformations Study Guide
- Describing a reflection Study Guide
- Describing a rotation's direction and size Study Guide
- Describing a translation Study Guide
- Describing an enlargement Study Guide
- Enlarging objects Study Guide
- Introduction to enlargements Study Guide
- Introduction to rotations Study Guide
- Introduction to translation Study Guide
- Investigating transformations with Desmos Study Guide
- Investigating transformations with GeoGebra Study Guide
- Problem solving with transformations Study Guide
- Reflecting objects Study Guide
- Rotating objects Study Guide
- Transformed objects Study Guide
- Translating objects Study Guide
- Understanding the centre of rotation Study Guide
Browse all guides in the Year 7 Maths guide library.