Lesson objective: Apply knowledge of transformations to describe the movements of a game piece.

This lesson provides an opportunity for students to apply their knowledge and understanding of rigid transformations to a real-life situation. Students are asked to create and describe a path that will move a game piece along a board using rotations, reflections, and translations.

Key Concept students will use:

- Some attributes of geometric figures are unchanged when the figure undergoes a reflection, a rotation, or a translation.

Skills students will use:

- properties of translations, including descriptors such as "left," "right," "up," and "down"
- properties of reflections, including descriptors such as "horizontal" and "vertical"
- properties of rotations, including descriptors such as "clockwise" and "counterclockwise," as well as stating the degree of rotation

Students engage in Mathematical Practice 4 (Model with Mathematics) as they use their knowledge of the rigid transformations to describe the movement of a game piece.

**Key vocabulary: **

- clockwise rotation
- counterclockwise rotation
- horizontal reflection
- translation
- vertical reflection