Park City Mathematics Institute
Geometry Course
Project Abstract
Geometry Transformed
Twitter: #pcmigeo
 
Logistics:
  • Each day will be approximately 60-90 minutes
  • Each day will also include a pre-activity (less than 30 minutes)
  • Each day will also include an optional problem set after the lesson
Authors: Jim King, Gabe Rosenberg, Irene Espritu, Alice Hsaio, Tamuka Hwami, Robert Janes, Wendy Menard, Jennifer Tate
 
One of the challenges that teachers have is the transition from the old state standards for Geometry to the new Common Core standards. This online professional development seeks to highlight key principles in this new course, as well as some tools that teachers can use to demonstrate these new concepts to their students. Over four days, participants will cover a variety of topics. The days are broken down in the following manner:
  • Day 1 - Rigid Motions
    • On this day, participants will understand and be able to apply to their CC Geometry classrooms...
      • the definition of a rigid motion
      • that translations, reflections, and rotations are rigid motions
      • that every isometry is equivalent to a succession of at most 3 line reflections
  • Day 2 - Congruence
    • On this day, participants will understand and be able to apply to their CC Geometry classrooms...
      • that the three transformations can be used to define congruence
      • that congruence can be proven using a composition of transformations
  • Day 3 - Similarity
    • On this day, participants will understand and be able to apply to their CC Geometry classrooms...
      • the definition and properties of similarity, in terms of transformations
      • that similar polygons can be mapped onto one another by a sequence of transformations (limited to rigid motions and dilations)
  • Day 4 - Symmetry and Quadrilaterals
    • On this day, participants will understand and be able to apply to their CC Geometry classrooms...
      • the properties of line, reflectional, and rotational symmetry
      • that the symmetry of quadrilaterals is derived from rigid motions
download zipped folder 2015_PCMI_Online_Geometry_Course-2015-07-16.zip [generic login required]

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© 2001 - 2018 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
Send questions or comments to: Suzanne Alejandre and Jim King

With program support provided by Math for America

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.