This course will be devoted to investigating the Big Ideas of Calculus
- Limits
- Derivatives
- Integrals and the Fundamental Theorem of Calculus
In her presentations, the instructor will model how to teach students to
- Reason with definitions and theorems
- Connect concepts
- Implement algebraic/computational processes
- Connect multiple representations
- Build notational fluency
- Communicate solutions clearly
Further, participants will experience the Mathematical Practices as they work through activities and labs for ready use in their own classroom. Participants need to bring their TI-84 calculators.
Differentiation (2 days)
- Definition and Fundamental Properties
- Composite, Implicit, and Inverse Functions
- Contextual and Analytical Applications
- Local Linearity of Differentiable Functions
- L’hopital’s Rule
Integration (2/3 days)
- Definition of the Integral
- Approximating Areas with Riemann Sums
- The Fundamental Theorem of Calculus and Definite Integrals
- Techniques of Integration
- Solving Differential Equations
- Reasoning Using Slope Fields
- Applications of Integration: Area, Volume, Average Value of a Function
Sister Alice Hess has taught Calculus for over 30 years, currently at Archbishop Ryan H. S., Philadelphia. A national Presidential Awardee, a Tandy Technology Scholar, and a two-time 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 calculus. She is a certified National T3 Instructor, has served as an AP Calculus Table Leader and College Board Consultant, is currently an AP Statistics Reader and has assumed a leadership role in developing mathematics curriculum for the Philadelphia Archdiocese as well as incorporating technology into the mathematics classroom. Most recently Sister Hess was honored as OUTSTANDING MATHEMATICS Teacher by the Institute for
Operations Research and the Management Sciences at their national conference, named one of the top 20 educators in the nation by USA Today and is one of five nationally chosen by the U.S. Department of Education to receive the 2008
American Star of Teaching Award. She was awarded an Honorary Doctorate in Human Affairs by Holy Family University.
Course Instructor
Sister Alice Hess, IHM
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 run from 7:30-400 – Instructors will send you an agenda with their class times. Class times may vary depending on the instructor.
Opportunity
Instructors encourage sharing among participants that will enhance the knowledge and 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.
Questions/comments
Questions/concerns about your particular course can be addressed by going to course description and clicking on the “Ask a Question” button. You will then be able to e-mail the instructor. Any problems call the Lewes AP* Summer Institute office at 302-567-1400.
* 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.
