Original Promptcreate a lesson on G.3.A Describe and perform transformations of figures in a plane using coordinate notation.
G.3.B Determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane.
This learning resource covers rigid and non-rigid transformations with an emphasis on coordinate notation. Students will gain skills in performing transformations including translations, reflections, rotations, and dilations. It explains the coordinate rules for various transformations and provides a series of worked examples to illustrate how to swap coordinates for reflection, apply translations to points, and comprehend the composition of multiple transformations. Furthermore, it discusses the properties of isometry and provides independent practice problems that tackle rigorous and non-rigid transformations. The resource also delves into advanced dilations with centers not located at the origin and prompts students to think critically about common errors in transformation sequences. Finally, there are guiding questions for self-reflection on the challenges faced in mastering these concepts.