Transformations: Translations, Rotations, and Reflections

Warm-up

Plot a simple shape (like a triangle) on a coordinate plane. Ask students where the vertices are.

Explore

Students physically move shapes (tracing paper), rotate them, and use mirrors to reflect them. Then, they record the before and after positions on coordinate planes.

Formalize

Record the three types side by side with descriptions:

Translation: (x, y) → (x+a, y+b). Rotation: Turn θ degrees around a center. Reflection: Flip over a line.

Give clear examples of each on a coordinate plane. Emphasize: the shape doesn't change size—it only moves, rotates, or flips.

Practice

Students perform single and multiple transformations on shapes on coordinate planes. Exit ticket: one transformation problem.

Exit ticket

Students perform single and multiple transformations on shapes on coordinate planes. Exit ticket: one transformation problem.