Year 7 - Maths
Checking understanding of basic transformations
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 describe how an object has moved or changed.
Key Notes
- A congruent shape has not changed size
- Two shapes can be congruent even if one has been reflected or rotated
- An image can be described in terms of its object
- The description states how the object has been changed
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.
- Transformation: A transformation is a process that may change the size, orientation or position of a shape.
- Congruent: If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
- Invariant: A property of a shape is invariant if that property has not changed after the shape is transformed.
Common Mistakes To Avoid
- Students may believe two shapes are congruent based purely on the shape and not the size as well.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A congruent shape has not changed size. Two shapes can be congruent even if one has been reflected or rotated.
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: Students may believe two shapes are congruent based purely on the shape and not the size as well. Correction: Consider squares - all squares have the same angles and are visually identical but if the lengths are different they're not congruent.
More Lessons In This Unit
- 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 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
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