Year 11 - Maths
Fluency in arithmetic procedures with 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 carry out arithmetic procedures on vectors and draw the resultant vector.
Key Notes
- More than one operation may be seen.
- Priority of operations still apply.
- Constructing all the vectors can help when checking the resultant is correct.
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.
- Resultant vector: A resultant vector is the single vector that produces the same effect as a combination of other vectors.
Common Mistakes To Avoid
- When using operations with vectors, pupils do not use the priority of operations.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
More than one operation may be seen. Priority of operations still apply.
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 using operations with vectors, pupils do not use the priority of operations. Correction: The priority of operations applies to all calculations.
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
- Column vectors Study Guide
- Dividing vectors into ratios Study Guide
- Fluency in arithmetic procedures with algebraic vector notation 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.