July 12 – 15, 2021

Instructor: Andy Randrup


Andy Randrup (B.S. in Mathematics from the United States Military Academy at West Point, M.S. in Teaching Secondary Mathematics from SUNY Potsdam) has taught high school math for 27 years, with a focus on AP Calculus AB for the past ten years. He has been a College Board AP Calculus Exam Reader since 2014. He also conducted student study sessions across the country for the National Math and Science Initiative. He is currently the Math Department Chair for Wesleyan School in Peachtree Corners, Georgia.




Course Description

The goal for this APSI is to equip you to successfully lead your students through the AP Calculus AB course. At our Summer Institute, we will:

  • Cover the course content in detail! (Reviewing all required concepts as well as discussing effective teaching methodology.)
  • Explore each section of the course and exam description, including the unit guides, while making connections to the course curricular requirements.
  • Begin to develop a course plan by unit and topic that incorporates the full scope of your AP course into your school’s academic calendar.
  • Practice applying the scoring guidelines from the most recent AP Exam to samples of student work.
  • Explore ready-to-use strategies, instructional materials, and pedagogical tools pertinent to the content and skills required for success.
  • Walk away with numerous, valuable electronic resources (web sites as well as a USB with course resources developed by several experienced teachers).

Course Agenda Overview

For the week, here is our plan for topics covered:

Monday:  CED Binder exploration, Limits, Continuity, and Intro to Derivatives

Tuesday:  Differentiation, Applications of Derivatives, and Theorems

Wednesday:  Analysis of Derivatives, Intro to Integration, Fundamental Theorem of Calculus, and Intro to Differential Equations

Thursday:  Advanced Differential Equations, Slope Fields, Applications of Integration


Each day will include discussions about the AP Exam (content, scoring, preparing), resources available (through the College Board and other sites), technology use, instructional approaches, best practices, and numerous activities (web sites as well as on paper).