June 5‐8
The AP Calculus Summer Institute provides an exciting week of technology
intensive calculus. AP Calculus courses have recently undergone a redesign
with updated courses being defined in a new curriculum framework that ties
course content and mathematical practices to clearly stated learning objectives.
It will take effect in the 201617 school year. There will be an increased
emphasis on conceptual understanding through the Mathematical Practices for
AP Calculus (MPACs). During the week, participants will become familiar with
the new framework and its implications for teaching the AP Calculus courses.
They will receive a notebook containing AP exam resource questions, reform
questions, concept worksheets, grading samples and scoring standards, as
well as, reference materials. Highlights of the week include discussions of
pedagogy, use of technology, consideration of topics from a reformed
perspective, a review of multiple choice and free response questions,
how to prepare students for the AP Calculus AB exam and the grading of the
2017 AP exam.
About

Consultant: Phyllis Hillis

Included:

College Board Workshop Handbook

Curriculum Materials and Activities

Sample Textbooks and/or Ebooks

TI84 & TI89 Activities

Flash drive

Lunch & Snacks
Daily Schedule
Monday


Beginning the Course

Advanced Placement Program and Resources (AP Central)

What's New in AP Calculus?

Multiple Representations and its Implementation in PreAP as well as AP

Textbook Review & Notebook Tour

PreAP Curriculum

AP Audit Process and Samples/Pacing

Reformed Questioning

Limits and Continuity

Average Rates of Change, Local Linearity and the Development of the Concept of the Derivative

Issue: Technology

Tuesday

 The Derivative as a Function & What does it tell us? f, f' and f''?
 Local and Global Extrema: The First and Second Derivative Tests
 AP Problem Review
 Derive Shortcut Rules for Differentiation
 Graphical Analysis including Derivative Tests
 Linearization and Estimation
 Optimization
 Implicit Differentiation
 Related Rates
 Issue: Resources (including websites)

Wednesday

 Rectilinear Motion
 Inverse Functions and Derivatives
 Rolle's Theorem/Mean Value Theorem
 Calculator Lab Experience
 Beginning Integration/Antidifferentiation
 Left, Right, Midpoint and Trapezoid Sums
 The Integral Function (ie. Definite Integral as an Accumulator)
 The Fundamental Theorem including Reformed Version (Net Change)
 Techniques of Integration including Substitution of Variables
 The Average Value of a Function
 Ways to Improve Your AP Score
 Issue: Preparing for the AP Exam (Discuss Stand and Deliver/ AP Grading)

Thursday

 Area
 Calculus in Motion Computer Software
 Calculator Interface
 Volumes of Solids of Revolution (Disks, Washers, Shells) including Models
 Volumes of Known Cross Sections
 Slope Fields
 Differential Equations and Initial Conditions
 Issue: 2016 AP Exam Problems Review
 Evaluations

July 17‐20
This AP Calculus AB workshop will focus on preparing teachers to teach
the calculus topics covered in the AB curriculum framework, by familiarizing
beginning teachers with the AB curriculum, familiarizing AP teachers to the
updated Curriculum Framework, assisting in lesson planning, creating a
syllabus for the new updated audit review, and assisting with technology interfacing.
This workshop will also cover a materials and AP Exam review, and feature special
topics, including slope fields, differential equations, the Fundamental
Theorem of Calculus including integral functions, the Mean Value Theorem,
and the derivative of the inverse of a function.
About

Consultant: Paula Gentry

Included:

College Board Workshop Handbook

Curriculum Materials and Activities

Sample Textbooks and/or Ebooks

TI84 & TINspire Activities

Flash drive

Lunch & Snacks

Things to bring:

Graphing calculator

Writing utensils
Daily Schedule
Monday

 Welcome and Introductions
 Overview of the Workshop
 Let’s do some Calculus  overview of calculus activity
 2016 Curriculum Framework
 Limits and Continuity
 Definitions of the Derivative
 Tangent Line Problems
 Graph of the Derivative Activity
 Derivative Rules
 All derivative rules and the derivative of basic functions
 Derivative of the Inverse of a function
 The Mean Value Theorem
 L'Hospital's Rule

Tuesday

 Applications of the Derivative
 Graph Theory
 Functions defined implicitly
 Applications of the Derivative
 Related Rates
 Motion along a Line
 Antiderivatives and the Definite Integral
 Antiderivatives of basic functions
 Integration by usubstitution
 Riemann Sums
 Properties of Definite Integrals
 Fundamental Theorem of Calculus

Wednesday

 Applications of the Definite Integral
 Motion along a line.
 Area Between Two Curves
 Volume

Activities:
 Constant CrossSections
 Solid of Revolution
 Functions defined by Integrals
 Accumulation of a rate function

Thursday

 Differential Equations
 Slope Fields
 Preparing a syllabus for the audit
 The 2017 AP Exam ‐ Grading
 Resources
 Q&A
 Evaluations
 Certificates
