Courses
Calculus AB
This course will be devoted to investigating the Big Ideas of Calculus
- Limits
- Derivatives
- Integrals & the Fundamental Theorem 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, L’Hopital’s Rule, the only
new topic to AB Calculus will also be covered.
- Reasoning with definitions and theorems
- Connecting concepts
- Implementing algebraic/computational processes
- Connecting multiple representations
- Building notational fluency
- Communicating
AGENDA
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
- L’Hopital’s 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, ahess@juno.com
- For how many years have you taught AP Calculus? Non AP Calculus?
- What is your facility with the TI-84?
(Answer on a scale of 0 weak to 5 very strong.) - What is your comfort level with teaching:
- Slope Fields (0 to 5)
- L’Hopital’s Rule (0 to 5)
- More than anything else, what do you hope to get out of this institute?
- Is there any other information you consider important to share?
“Sister Alice’s knowledge of the content, pedagogy and AP testing would motivate any teacher. Fun and relaxing pursuits were easily accessible after class.”
–Past Client
Instructor:
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.