Lesson Plan

• Represent vectors using coordinate and magnitude‑direction notation.
• Perform translations, rotations, reflections and enlargements on points and shapes.
• Combine two or more transformations and accurately describe the resulting transformation.
• Use vector notation to solve transformation problems.

• Projector and screen
• Whiteboard and markers
• Graph paper, rulers and calculators
• Worksheet with vector and transformation tasks
• Coloured cut‑out shapes for physical manipulation

Begin with a quick visual puzzle that shows a shape moved on a grid to spark curiosity. Review students’ prior knowledge of ordered pairs and distance formula. Explain that today they will see how vectors make it easy to describe and combine such movements. Success will be measured by correctly performing and describing each type of transformation.

1. Do‑now (5'): short quiz on vector components and magnitude.
2. Mini‑lecture (10'): definition, notation, magnitude and direction of vectors.
3. Guided practice (15'): vector addition and scalar multiplication on graph paper.
4. Translation demo (10'): teacher models a translation using a vector; students complete a worksheet example.
5. Rotation activity (15'): explore 90°, 180°, 270° rotations using the rotation matrix and special case formulas.
6. Combined transformations (10'): pairs apply a sequence (e.g., translate then rotate) and write the resulting description.
7. Exit ticket (5'): one problem requiring identification of the transformation type and the vector used.

Recap the key ideas: vectors encode direction and distance, and they provide a concise language for all basic transformations. Collect exit tickets to gauge understanding, and assign homework to complete a set of mixed‑transformation problems on a new shape.