Year 10 - Maths
Checking and securing understanding of translation
Further 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
In this unit pupils apply their knowledge of transformations to explore negative enlargement factors and the application of multiple transformations.
Lesson Summary
You will learn to describe a translation and perform a given translation on an object.
Key Notes
- It can be helpful to choose a vertex and translate that.
- Once all the vertices have been translated, the image can be drawn.
- The image and the object should be congruent.
- To translate, you need to know the distance left/right and up/down to move.
Vocabulary To Learn
- Transformation: A transformation is a process that may change the size, orientation or position of a shape.
- Translation: Translation is a transformation in which every point of a shape moves the same distance in the same direction.
- Vector: A vector can be used to describe a translation.
- 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
- Pupils may write or read the column vector incorrectly by thinking the top element is for the vertical movement and the bottom element is for the horizontal movement.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
It can be helpful to choose a vertex and translate that. Once all the vertices have been translated, the image can be drawn.
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: Pupils may write or read the column vector incorrectly by thinking the top element is for the vertical movement and the bottom element is for the horizontal movement. Correction: Remind pupils that coordinates are horizontal before vertical and that is the same on a column vector.
More Lessons In This Unit
- Advanced problem solving with further transformations Study Guide
- Checking and securing understanding of congruence and similarity Study Guide
- Checking and securing understanding of enlargement with positive fractional scale factors Study Guide
- Checking and securing understanding of enlargement with positive integer scale factors Study Guide
- Checking and securing understanding of reflection Study Guide
- Checking and securing understanding of rotation Study Guide
- Describing a negative enlargement Study Guide
- Enlargement using a negative scale factor Study Guide
- Identifying multiple transformations Study Guide
- Multiple transformations Study Guide
- Problem solving with further transformations Study Guide
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