The AP Preparedness Summer Workshops are designed to help teachers increase the rigor of content so students develop the strong foundation necessary for success in secondary advanced academics and post-secondary courses.

Participants will explore the most current perspectives of high school geometry. Connecting algebraic and geometric thinking, this course will apply material from Algebra I and look to concepts covered in Algebra II and Precalculus through a geometric lens.


  • Sequences, rate of change, functions, area under a curve, trigonometry, geometric means, areas of plane figures, areas and volumes of solids, coordinate geometry and transformations
  • Using manipulatives to develop geometric concepts before rigorous application
  • Implementing methods of discovery throughout the curriculum
  • Developing meaningful student projects throughout a geometry course
  • Assessment in geometry. Connecting geometric proof with justifying your answer and answering the question: “What makes my geometry test delving?”
  • Implications of the use of technology in geometry
  • Multi-representational approaches to teaching geometry
  • Classical construction problems
  • The unit circle
  • Transformations in geometry that lead to transformations of the graphs of functions
  • Extending geometry textbook problems in order to increase the rigor level for geometry students

What participants should bring:

  • An electronic copy of your favorite lesson to share
  • Graphing calculator
  • Ruler and compass
  • Device to explore Desmos and/or GeoGebra applications that can access the Web (Most teachers prefer using a laptop for easy input of mathematical syntax. Rice has guest Web access.) Devices will be used Wednesday through Friday of the week.
  • Optional: Favorite math T-shirt for “Wear Your Favorite Math Shirt Day” on Friday of the institute.

Lead Consultant Biography:

Melissa Burkhead teaches Honors geometry, accelerated precalculus/calculus and BC Calculus at Trinity Valley School in Fort Worth, Texas. She has been teaching secondary students for 26 years, including in Mexico City, the El Paso public schools, Austin’s magnet school program and the Episcopal school system. Ms. Burkhead has presented at numerous AP conferences and most recently represented the College Board with a special AP Calculus focus in both Abu Dhabi, UAE, and Bogotá, Colombia. She is also a reader for the AP Calculus exam. She has contributed to the proceedings of the International Conference on Technology in Collegiate Mathematics with articles titled “Linkages, Ellipses and Elliptical Exercise Machines: Student Explorations” and “Transforming Teacher Technology Use: Results from Summer Institute Training.” She holds a BA in mathematics and political science from Georgetown College and an MA in education (mathematics specialty) from The University of Texas at El Paso.


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