| Lesson Plan |
| Grade: |
Date: 25/02/2026 |
| Subject: Additional Mathematics |
| Lesson Topic: Understand and use vector notation in various forms, including column vectors and directed line segments |
Learning Objective/s:
- Describe vector notation in column and directed line‑segment forms.
- Convert between point representation and component (column) form.
- Perform vector addition, scalar multiplication, and compute magnitude and unit vectors.
- Apply the dot product to test perpendicularity.
- Solve multi‑step problems involving conversion, magnitude, and unit vectors.
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Materials Needed:
- Projector and screen for slides
- Whiteboard and markers
- Printed worksheet with practice questions
- Graph paper and rulers
- Calculator or calculator app
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Introduction:
Begin with a quick visual of an arrow moving across the board to spark curiosity about direction and length. Review that students already know coordinates and the Pythagorean theorem, linking these to vector components. State that by the end of the lesson they will be able to write, convert, and manipulate vectors confidently.
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Lesson Structure:
- Do‑now (5'): Students plot two points and draw the directed line segment, noting components. (Check understanding)
- Mini‑lecture (10'): Explain column and directed line‑segment notation, show conversion formula with examples on the projector. (Guided practice)
- Guided practice (15'): Work through the 3‑4‑5 example together, calculating components, magnitude, and unit vector. (Questioning)
- Independent practice (15'): Students complete the practice worksheet (5 questions), circulating for support. (Peer check)
- Quick recap & exit ticket (5'): Students write one correct conversion and one vector operation on a sticky note; collect as exit ticket.
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Conclusion:
Summarise the key steps for converting between forms and computing magnitude and unit vectors. Ask a few students to share their exit‑ticket answers to reinforce understanding. Assign homework: complete a set of additional vector problems from the textbook, focusing on conversion and dot‑product checks.
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