Year 11 - Maths
Checking and securing understanding of translations
Vectors
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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, pupil understanding of vectors is deepened with pupils exploring column vector notation and arithmetic procedures.
Lesson Summary
You will learn to describe a translation using column notation and carry out the translation of a point.
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
- Translation: Translation is a transformation in which every point of a shape moves the same distance in the same direction.
- Congruent: If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
- Vector: A vector can be used to describe a translation.
- Vertex: A vertex is the point where two or more line segments meet. The plural is vertices.
- Displacement: Displacement is the distance from the starting point when measured in a straight line.
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. 'Translation'
Translation is a transformation in which every point of a shape moves the same distance in the same direction. 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
- Addition with vectors Study Guide
- Advanced problem solving with vectors Study Guide
- Algebraic vector notation Study Guide
- Calculating the magnitude of a vector Study Guide
- Column vectors Study Guide
- Dividing vectors into ratios Study Guide
- Fluency in arithmetic procedures with algebraic vector notation Study Guide
- Fluency in arithmetic procedures with vectors Study Guide
- Geometric proofs with vectors Study Guide
- Multiplication with vectors Study Guide
- Parallel vectors Study Guide
- Parallel vectors in algebraic vector notation Study Guide
- Problem solving with vectors Study Guide
- Subtraction with vectors Study Guide
- The sum and difference with algebraic vector notation Study Guide
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