Lesson Plan

• Describe how to represent a velocity as a vector and resolve it into horizontal and vertical components.
• Apply vector addition to find resultant velocities in two‑dimensional situations.
• Solve relative‑velocity and collision problems using component methods and momentum conservation.

• Projector or interactive whiteboard
• Printed worksheet with vector diagrams
• Scientific calculators
• Rulers and protractors
• Practice question cards
• Whiteboard and markers

Begin with a quick real‑world scenario of a boat crossing a river to capture interest. Review students’ prior knowledge of vectors as magnitude‑direction pairs and component notation. Explain that by the end of the lesson they will be able to decompose, compose and apply velocity vectors to motion and collision problems.

1. Do‑now (5'): Solve a simple vector addition problem on the board to activate recall.
2. Mini‑lecture (10'): Review component form, magnitude and direction formulas; demonstrate resolving a vector.
3. Guided practice (15'): Work through the boat‑and‑river example together; students complete worksheet steps.
4. Collaborative activity (10'): In pairs, solve a relative‑velocity problem (e.g., car and wind) and present results.
5. Collision modelling (15'): Demonstrate elastic collision using component conservation; students finish a billiard‑ball practice question.
6. Quick check (5'): Exit ticket – write one key step for solving a two‑dimensional collision.

Summarise how vectors are resolved, added and used in relative‑motion and collision contexts. Collect the exit tickets to gauge understanding. For homework, assign three practice questions from the worksheet, including a boat‑river and a collision problem.