Year 7 - Maths
Enlarging objects
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 enlarge objects using information about the centre of enlargement and scale factor.
Key Notes
- Each length in the shape is multiplied by the scale factor
- Each vertex in the object is a given distance from the centre of enlargement
- This distance is also multiplied by the scale factor to give the distance of the image's vertex
Vocabulary To Learn
- Centre of enlargement: The centre of enlargement is the point from which a shape is enlarged.
- Scale factor: A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.
Common Mistakes To Avoid
- Pupils may initially be unsure when enlarging shapes on different background in Q2 of Task B.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Each length in the shape is multiplied by the scale factor. Each vertex in the object is a given distance from the centre of enlargement.
2. Use this key word in a maths sentence and explain it clearly. 'Centre of enlargement'
The centre of enlargement is the point from which a shape is enlarged. 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 initially be unsure when enlarging shapes on different background in Q2 of Task B. Correction: Stress that they can use the same methods as for square or plain backgrounds (e.g. using a ruler, counting units along gridlines).
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
- Introduction to enlargements Study Guide
- Introduction to reflections 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.