A math function written on a chalkboard

AP® Calculus AB

The goals of the AP® Calculus AB  session are to assist participants with:

  • Use of multi-representational approaches to examine problems algebraically, graphically, numerically, and verbally
  • Use of technology to reinforce these relationships, to experiment and to develop concepts
  • Examination of topics common on current AP exams, as well as topics that students struggle with in AP Calculus
  • A look at the new AP Calculus Curriculum Framework – what has changed, how it affects you as a teacher, and how it can help your students be more successful.
  • Creating formative and summative assessments to better prepare students for the AP exam
  • Working through current AP Exam Free Response questions, looking for skills that need to be reinforced, as well correlation to the grading rubrics
  • Exploring online Calculus resources in a lab setting
  • Participation in classroom-based activities that tie together multiple concepts

Course Syllabus


  • An overview of AP Calculus – the curriculum, the exam, and the AP Audit
  • The new Curriculum Framework
  • Ideas for AP Calculus classroom design – quizzes, group assessments, homework,etc.
  • Derivative Rules
  • Chain Rule Activity
  • Derivatives of Inverse Functions – a new method


  • Relative and Absolute Extreme
  • Graph Analysis
  • Optimization and Linearization


  • Card Matching Activity (matching functions to derivatives) 
  • Derivatives and Data
  • Riemann Sums
  • Functions Defined by Integrals
  • Differential Equations


  • Computer resources for AP Calculus
  • Area and Volumes of Revolution
  • Preparing for the AP Exam

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Jill Bell 

Jill Bell is the AP Calculus BC teacher at South Gwinnett High School in Snellville, GA. A veteran of almost 30 years in the classroom, she has developed the Pre-AP and AP math programs at two of the former schools where she has worked, and has been teaching AP and Pre-AP Math for most of her teaching career. As a consultant, she has presented workshops across the US in Pre-AP Math, AP Calculus, and SAT Math preparation, and has been a College Board consultant for thirteen years. Ms. Bell is also one of 8 teachers featured in the College Board’s video series “Teaching and Assessing AP Calculus.” Ms. Bell holds a BS in Secondary Education from Baylor University and a MS in Mathematics from Texas A&M University. She holds secondary certifications in Mathematics, Spanish and Gifted/Talented Education.

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Additional Information

Participants should bring the following:

  • Notebook paper or spiral notebook
  • Graphing calculator
  • An electronic copy or 30 paper copies of a favorite lesson or activity (optional)

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