Year 7 - Maths
Problem solving with 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 use your knowledge of transformations to solve problems.
Key Notes
- By understanding what changes and what is invariant, you can determine whether a transformation has occurred.
- Sometimes you might need to persevere in order to find the right transformation.
- You may be able to check your deductions by carrying out the transformation.
Vocabulary To Learn
- Transformation: A transformation is a process that may change the size, orientation or position of a shape.
- 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
- When completing an inverse translation, students may believe they need to flip the vector.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
By understanding what changes and what is invariant, you can determine whether a transformation has occurred. Sometimes you might need to persevere in order to find the right transformation.
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: When completing an inverse translation, students may believe they need to flip the vector. Correction: Ask students to say in words how you would return to the starting point, to highlight the direction needed and then link to the vector.
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 rotations Study Guide
- Introduction to translation Study Guide
- Investigating transformations with Desmos Study Guide
- Investigating transformations with GeoGebra 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.