Grade Level(s): 8
Keywords: Translation, transformation in the plane, reflection, rotation, shift, rigid motion, triangle congruence with coordinates, triangle. congruence, coordinates, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities
This task is appropriate for instruction. It illustrates both because, as an instructional task, it can help students build up their understanding of the relationship between rigid motions and congruence. It also addresses MAFS.1.G.1.3: while the students have not been prompted to explicitly describe the transformations in terms of coordinates, they will necessarily use them at least implicitly. If it is appropriate, the teacher can give extra instructions indicating that students need to describe the transformations explicitly in terms of coordinates; alternatively, the teacher can use this task could lead into a discussion about how to describe each of the transformations using coordinates. Part (b) is intended to provide extra depth of understanding to rigid motions and congruence. It provides students with an important example of a context where order of operations matters (in this case the operations being transformations of the plane).
Source and Access Information
Name of Author/Source: Brian Carmichael
District/Organization of Contributor(s):
Is this Resource freely Available? Yes
Access Privileges: Public
* Please note that examples of resources are not intended as complete curriculum.