Year 11 - Maths
Column vectors
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 represent information graphically given column vectors.
Key Notes
- When translating, the entire shape moves.
- Although the point moves, the journey is not drawn.
- A vector can be drawn to show this journey.
- The vector is a straight line from the start to end point and covers the shortest distance.
- The top value is the distance left/right, the bottom value is the distance up/down.
Vocabulary To Learn
- Vector: A vector can be used to describe a translation.
- Displacement: Displacement is the distance from the starting point when measured in a straight line.
- Vertex: A vertex is the point where two or more line segments meet. The plural is vertices.
Common Mistakes To Avoid
- When describing the movement of vectors, "across" is used to describe a horizontal movement.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When translating, the entire shape moves. Although the point moves, the journey is not drawn.
2. Use this key word in a maths sentence and explain it clearly. 'Vector'
A vector can be used to describe a translation. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When describing the movement of vectors, "across" is used to describe a horizontal movement. Correction: Embed the understanding that "across" refers to the horizontal component, but the direction must be described concisely as a vector has direction and magnitude.
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
- Checking and securing understanding of translations 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
Browse all guides in the Year 11 Maths guide library.