This rotation investigation is designed to use with CPMP tool software which is a free download. Students rotate a humanoid 90 degrees at a time and then look for the patterns they see in how coordinates change when you rotate 90 degrees, 180 degrees, and 270 degrees. Available here as a pdf or separately as a word document to allow revisions.
Common Core Correlation:
CCSS.Math.Content.8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
CCSS.Math.Content.HSG-CO.A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
CCSS.Math.Content.HSG-CO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.