Calculus AB

This course will be devoted to investigating the Big Ideas of Calculus

Further, participants will experience the Mathematical Practices of AP Calculus as they work
through a packet of activities and labs for ready use in their own classroom. Of course, LíHopitalís Rule, the only new topic to AB Calculus will also be covered.

Here is a link to the Mathematical Practices for AP Calculus: There you will be able to download the Curriculum Framework document as well as find additional resources.


Topics to be presented include:

  • Multiple Representation of Functions
  • Derivative and Applications
  • Implicit Differentiation
  • Intermediate Value Theorem
  • Mean Value Theorem
  • Fundamental Theorem of the Calculus
  • Applications of the Definite Integral
    • Area
    • Volume
  • Differential Equations
  • Slope Fields
  • LíHopitalís Rule
  • Order of Rate of Growth
  • Free Response Questions from past exams
  • Post Exam Project

Participants are invited to respond to these questions via e-mail directly to Sister Alice Hess,

  1. For how many years have you taught AP Calculus? Non AP Calculus?
  2. What is your facility with the TI-84?
    (Answer on a scale of 0 weak to 5 very strong.)
  3. What is your comfort level with teaching:
    • Slope Fields (0 to 5)
    • LíHopitalís Rule (0 to 5)
  4. More than anything else, what do you hope to get out of this institute?
  5. Is there any other information you consider important to share?

Sister Aliceís knowledge of the content, pedagogy and AP testing would motivate any teacher. Fun and relaxing pursuits were easily accessible after class.

–Past Client

Sister Alice Hess, IHM

Alice Hess, I.H.M., has taught secondary mathematics for 50 years, currently at Archbishop Ryan High School, Philadelphia. A national Presidential Awardee, Tandy Technology Scholar, and two-time national Mary Dolciani Scholarship recipient, she has published numerous articles in professional journals and has conducted in-service presentations nationwide on subjects ranging from algebra to statistics and calculus. She is a certified National Teachers Teaching with Technology Instructor, AP Statistics Reader and College Board Consultant, and served on the editorial panel for the N.C.T.M. 2006 Yearbook. Sister Alice was honored as Outstanding Mathematics Teacher by the Institute for Operations Research and the Management Sciences, was chosen by USA Today as one of the top 20 educators in the nation, honored by the National Catholic Educational Association for years of Distinguished Service to Catholic Education, was awarded an Honorary Doctorate degree in Humane Letters by Holy Family University, received the Siemens Award for Excellence in Teaching Advanced Placement Mathematics and was selected as one of five teachers nationally to be named a U.S. Department of Education 2008 American Star of Teaching.

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Institute Faculty

The faculty have been selected for their teaching expertise, creativity, innovations in teaching and experience with the AP* Program curriculum. All faculty members are endorsed and certified by the Middle Atlantic Regional Office of The College Board and have demonstrated a commitment to excellence that is second to none.

Daily Schedule

Classes are scheduled from Tuesday - Friday, 7:30 a.m. - 3:30 p.m.

Class check-in begins at 7 a.m. with as brief orientation at 7:20 a.m.

Participants receive a catered lunch at a waterfront restaurant each day.

Morning and afternoon coffee/snack breaks are provided each day.

An Opportunity for Learning and Interacting

Instructors encourage sharing among participants that will enhance the knowledgeand skills of all participants for effective teaching. The opportunity to exchange and communicate with instructors and colleagues within the Middle Atlantic Region and beyond is a valued support resource for the entire school year.

Course Questions?

Questions/concerns about your particular course can be addressed by going to course description and clicking on the instructor’s name. You will then be able to e-mail the instructor. Any problems call the Lewes Summer Institute office at 302-644-0277.

* This Summer Institute has been endorsed by Advanced Placement Program, AP, Pre-AP, College Board and it’s logo are registered trademarks of the College Board.