Year 11 - Maths
Fluency in arithmetic procedures with algebraic vector notation
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 written algebraically.
Key Notes
- Priority of operations still apply.
- Like terms can be collected.
- The vectors can be sketched and the resultant shown.
Vocabulary To Learn
- 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.
Priority of operations still apply. Like terms can be collected.
2. Use this key word in a maths sentence and explain it clearly. 'Resultant vector'
A resultant vector is the single vector that produces the same effect as a combination of other vectors. 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 vectors, even those expressed in component form. Use Desmos to demonstrate a resultant vector using multiplication and/or addition of vectors.
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 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.