Year 7 - Maths
Introduction to rotations
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 rotations and appreciate what changes and what is invariant.
Key Notes
- The length of the lines do not change when rotated
- The angles inside an object do not change when rotated
- When an object is rotated, its image is congruent
- Unless a full rotation occurs, the object and its image will not have the same orientation
Vocabulary To Learn
- Rotation: The rotation of an object is the turning of an object by a fixed amount and around a fixed point (called the centre of rotation).
Common Mistakes To Avoid
- After an object has been rotated, the orientation stays the same if the image looks the same.
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 rotated. The angles inside an object do not change when rotated.
2. Use this key word in a maths sentence and explain it clearly. 'Rotation'
The rotation of an object is the turning of an object by a fixed amount and around a fixed point (called the centre of rotation). Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: After an object has been rotated, the orientation stays the same if the image looks the same. Correction: This is only true if the object is rotated through 360°. Otherwise, the orientation is different as each vertex is in a different position.
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 reflections 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
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