Pre-AP High School Mathematics Institute
with Algebra/Precal Focus
Monday, July 19 through Friday, July 23, 2010
This course will expose participants to the most current perspectives of the College Board's Pre-AP High School Mathematics curriculum. Connecting algebraic and geometric thinking in a Pre-AP Algebra 2 or Precalculus course, topic components will connect materials from Pre-AP Algebra I and to concepts covered in Pre-AP Algebra II and Pre-AP Pre-Calculus in preparation for AP Calculus and AP Statistics.
Topics will include the following:
- The rule of four, limits, sequences, rate of change, functions, area under a curve, variation, trigonometry, geometric means, construction, areas of plane figures, areas and volumes of solids, coordinate geometry, and transformations
- Using manipulatives to develop geometric concepts before rigorous application
- Assessment in geometry. Connecting geometric proof with the Pre-AP idea of "justifying your answer" and answering the question, "What makes my geometry test Pre-AP?"
- Using a graphing calculator and dynamic geometry approaches
- Implications of the use of technology in Pre-AP Geometry
- Practicing with TI-84 + Silver Editions, TI-89 Titaniums, textbook samples, and computer lab time to explore Pre-AP technology-based activities
Pre-AP High School Mathematics Consultant Melissa Burkhead
Trinity Valley School, Fort Worth, Texas
Melissa Burkhead teaches precalculus and Calculus BC at Trinity Valley School in Fort Worth, TX. She has taught high school mathematics for 15 years including five years in Mexico City, two years in the El Paso public schools, three years in the Austin magnet school program, and five years in the Episcopal school system. She also presents for The College Board and Key Curriculum Press. She moderates the online courses titled Teaching Geometry with The Geometer's Sketchpad and Teaching Algebra with The Geometer's Sketchpad. Ms. Burkhead holds a BA in mathematics and political science from Georgetown College and a MA in education (mathematics specialty) from The University of Texas at El Paso.