| Lesson Plan |
| Grade: |
Date: 25/02/2026 |
| Subject: Additional Mathematics |
| Lesson Topic: Find the magnitude of a vector and add, subtract and multiply vectors by scalars, including solving vector geometry problems |
Learning Objective/s:
- Describe vector components and compute magnitude using the Pythagorean theorem.
- Calculate the direction angle of a vector from its components.
- Perform vector addition, subtraction, and scalar multiplication component‑wise.
- Apply these operations to solve vector geometry problems such as finding unknown sides or angles in a triangle.
- Check solutions against geometric constraints and exam conventions.
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Materials Needed:
- Projector or interactive whiteboard
- Printed worksheet with vector problems
- Graph paper and rulers
- Scientific calculators (or calculator app)
- Set of vector cards/manipulatives (optional)
- Teacher’s note cards with key formulas
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Introduction:
Begin with a quick visual of two arrows on a grid to spark curiosity about how direction and length combine. Recall that students already know the Pythagorean theorem and coordinate geometry, which they will use to find vector lengths. Explain that by the end of the lesson they will be able to compute magnitudes, add and subtract vectors, and manipulate them with scalars to solve exam‑style geometry questions.
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Lesson Structure:
- Do‑now (5'): Short quiz on interpreting arrows and identifying components.
- Mini‑lecture (10'): Review vector representation, magnitude formula, and direction angle with projected examples.
- Guided practice (12'): Work through Example 1 (resultant) together, emphasizing component addition and magnitude calculation.
- Collaborative activity (15'): Pairs solve Example 2 and Example 3 on worksheet; teacher circulates for checks.
- Scalar multiplication drill (8'): Quick mental practice on stretching/shrinking vectors and sign effects.
- Exam‑style problem (10'): Independent attempt of a past‑paper question requiring translation into vector notation and solving for unknowns.
- Recap & Q&A (5'): Summarise key steps and address lingering doubts.
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Conclusion:
Summarise the systematic approach: represent vectors in components, apply the magnitude formula, then use addition, subtraction or scalar multiplication as needed. For the exit ticket, each student writes a concise checklist of steps for solving a vector geometry problem on a sticky note. Homework: complete an additional worksheet with three mixed vector problems and reflect on any errors.
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