In this lesson, students use coordinate transformation notation such as . This notation supports the understanding of transformations as functions while also providing a novel context to have students examine rigid transformations, similarity transformations, and transformations that do not fit any vocabulary that students have learned. Students compute the result of transformation rules starting with one point at a time. Then they complete a table of inputs and outputs. In the final activity, students transform a figure using function rules. Throughout the lesson, students generate hypotheses about how to predict the outcome of a rule before trying it on a figure.

Students reason abstractly (MP2) as they translate back and forth between concrete diagrams and abstract rules.

Technology isn’t required for this lesson, but there are opportunities for students to choose to use appropriate technology to solve problems. We recommend making technology available.