Skip to Main Content
AP Summer Institute: Calculus AB

Agenda for the AP® workshop in Montgomery College 

Day 1 

Short introductions
Some observations on the AP program
Looking at the AP syllabus

Solving Multiple Choice questions as a warm up
Presenting derivatives of polynomials
Hand out with Pascal’s triangle
Mean value theorem.
Slope fields 

Day 2 

Please bring to class: scissors, ruler, cardboard pencil, scotch tape.

Applications of derivatives
AP questions with: Related rates        
Minimum maximum handouts.
Activity: building a coke can, building a box- two variations; 
AP questions with minimum maximum

Day 3 
Worksheets for integrals
AP questions with integrals
Mean value theorem of the integrals.
Fundamental theorem of Calculus- AP questions
Building a wedge?

Day 4 
The complete 2015
Grading an AP exam. Looking at the rubrique
Grading some student samples. Solving the problems. Seeing additional differential equation problems. More Fundamental Theorem problems. Discussion: the philosophy of the exam,

A P Instructor Ayana Touval

Calculus AB
Instructor Ayana Touval

Instructor Biography: A After being a longtime high school math teacher, Ayana Touval has been teaching precalculus and calculus at Montgomery College.
As a College Board consultant she gives AP Calculus AB and BC  workshops.  She has been invited to give College Board Workshops in the Mid-Atlantic Region. Each June for the past 12 years she has graded AP calculus exams for the Educational Testing Service.
For three summers gave workshops at the Anja S. Greer Conference on Mathematics, Science and Technology in Exeter, NH. She has been a frequent presenter at NCTM meetings on topics ranging from geometry to calculus.

Course Description: This course is designed to teach the skills to AP teachers to infuse their classroom teaching with successful Calculus topics to ensure that students are prepared for the Calculus AB exam. Through a series of hands-on activities and group discussions, participants will begin to explore how AP Calculus AB classes can be centered around and driven by content. They will understand the benefits of a streamlined and connected curriculum for both teachers and students.


Contact Us:
  • Karen Ambrose, Program Director
  • Montgomery College, Workforce Development & Continuing Education
  • 12 South Summit Ave. 4th Floor
  • Gaithersburg, MD 20877

Montgomery College

Montgomery County, MD


©2017, Montgomery College