Calculus AB

The workshop will focus on analysis of AP Calculus AB exam questions, syllabus construction using AP Audit guidelines, teaching strategies, and preparing students for success on the AP Calculus AB Exam.  Several hands-on activities will be completed using graphical, numerical, and analytic representations as well as a computer lab session focusing on selected websites.  Participants will be trained to score free response questions using the scoring standards and actual student samples used in briefing sessions at the AP Calculus AB Reading.  Highlights from the AP: Strategies for Success in AP Mathematics College Board workshop will also be discussed.  Click here for the daily schedule.

  • Included in Workshop:
    • College Board Workshop Handbook
    • Curriculum Materials and Activities
    • Sample Textbooks and/or E-books
    • TI-84 & TI Nspire Activities
    • Flash drive


  • Workshop Emphasis:
    • Familiarize the beginning AP teacher with the Calculus AB curriculum
    • Familiarize current AP teachers to the upcoming changes to the AB syllabus
    • Assist in lesson planning
    • Creating a syllabus for the audit review.
    • Assist with technology interface
    • Materials review
    • AP Exam review
    • Special topics:
      • Slope fields
      • Differential equations
      • The Fundamental Theorem of Calculus including integral functions.
      • The Mean Value Theorem.
      • Derivative of the inverse of a function.

What to Bring: Writing utensils, notebook paper, a graphing calculator and a laptop


Phone: 253-535-8378
Fax: 253-535-7184

Instructor Biography

Paula Gentry is currently the Upper School Math Department Chair at Woodward Academy where she has math curriculum responsibilities for grades PK – 12. She has taught Calculus at many levels during her 33 year career as a math teacher both at Woodward and at Bournemouth School for Girls in England, the country of her birth. During her time as a math educator, Paula has taught every grade level 6th – 12th, including 20 years teaching BC Calculus and 8 years teaching AB Calculus.  Paula has read the  AP Calculus Exams  since 2006 and she completed her College Board Consultant training in 2012.

Paula Gentry


Monday, July 11

1. Equity and Access Policy

2. AP Central

3. AP Calculus AB Exam Index Files

4. Developing an AP Calculus AB Syllabus

5. Technology – Graphing Calculators and Webpages

6. Teaching Strategies

7. Limits and Continuity

8. Derivatives

Tuesday, July 12

1. Applications of Derivatives – Related Rates, Extrema, Mean Value Theorem, Particle Motion

2. Riemann Sums

3. Trapezoidal Sums

Wednesday, July 13

1. Fundamental Theorem of Calculus,

2. Average Value of a Function

3. Second Fundamental Theorem of Calculus

4. Integration by Substitution

5. Slope fields and Separable Differential Equations

Thursday, July 14

1. Volumes of Solids of Revolution

2. Volumes of Solids With Known Cross-Sections

3. The AP Calculus AB Exam – scoring session, test taking strategies