Park City Mathematics Institute
- Transformations Using Matrices
- Mary Pilgrim*, Molley Kaiyoorawongs, Jennifer Mack, Carl Oliver, John Pribik, Jill Riehl
- The purpose of our lesson study was to collaboratively craft, teach, and revise a lesson for high school students learning Algebra 2/ Geometry or an integrated Common Core Mathematics 2 class. We met an average of eight hours per week for three weeks. The lesson was first taught to six high school students attending a summer enrichment/advancement course called "Bridge to Secondary Math 2 Honors" at Park City High School. The second time the lesson was taught to sixteen high school students attending the Park City Mathematics Institute summer math camp. Analysis and revisions were made after each implementation of the lesson.
The major lesson objectives were for students to translate, rotate, and reflect images using matrices. Other objectives were to multiply matrices, generate images given transformations, and classify transformations. We developed a lesson which included an introductory activity with patty paper that reviewed the basics of transformations on the coordinate plane. Students then created posters with the coordinate matrices for pre-images and images and statements describing what happened to the figures and the coordinates. Students then examined the matrices and worked together to determine the transformation matrices and matrix operations that produced the image. We concluded the lesson with a short debrief and recap of the transformation matrices.
This document includes our lesson plan, materials, handouts, and some of our reflections.
- download lesson_study_2013_matrix_transformations.pdf [username/password required]
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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.