SHORELINE PUBLIC SCHOOLS
COURSE SYLLABUS
Building: Shorewood & Shorecrest
Name of Course:
Timeframe:
Year: 2015-2016
AP Calculus BC
Weeks
Instructor: Frank Fisher
Months
Concepts/Themes
Semester
Trimester
Power Standards
(Concept or theme followed by a simple
explanatory sentence)
(List of Power Standards in student friendly language)
Limits and Their Properties

Differentiation

Applications of Derivatives
Year long
Approximate Time
Frame
(Sequential, measured by
unit, time, or calendar)
I can evaluate limits and apply their
properties to help graph, solve, and explain
problems and their solutions.
I can find the derivatives of various equations
including various properties and theorems of
derivatives, this also includes the 2nd
derivative and how it applies to limits.
4 days

I can apply properties of and solutions of
derivatives to given problems based upon
their derivatives, which also includes the 2nd
derivative. EX: Not limited to slope, rate of
change, related rates, error, optimization,
zeros
10 days
Introduction to Integration and
Differential Equations

I can find the anti-derivatives of various
equations through integration, which also
includes equations with derivatives in them
(differential equation).
8 days
Applications of Integration

I can apply properties of and solutions of
derivatives to given problems based upon
their anti-derivative, which also includes the
2nd derivative of an equation. EX: Not limited
to Area, Volume, Rates of Change, projectile
motion.
10 days
Techniques of Anti-differentiation

I can find the anti-derivatives of more
complex integrals through techniques
involving u-substitution, trigonometry,
logarithms, exponentials, and substitution by
parts, etc.
12 days
Polynomial Approximations and
Series

I can find patterns in sequences and series
and use those patterns to make inferences.
I can use integration as a technique in
helping find solutions in sequences and
series.
I can use various theorems that will help
explain the nature of a root and a polynomial.
24 days


Revised 06/19/13
1
10 days
Polar Areas, Areas of Conic
Sections, and Trigonometric
Substitutions


Post AP Exam Performance
Assessment: Students are required
to assimilate their calculus
knowledge in a creative form.

I can find the properties of conic sections and
relate those properties to slopes and tangent
lines through the use of a derivative.
I can use differentiation and integration as
techniques to help find the arc length, the
surface area of a curved surface, polar
coordinates, and area in polar coordinates.
I can apply our newfound knowledge of
calculus and apply that knowledge to various
applications.
11 days
9 days
Assessments:
(List major assessments and assignments – not exhaustive, but the primary pieces used as the basis of the course)
Chapter tests will be given at the end of the unit. Quizzes will be given during a chapter. Informal formative assessments will
be used on a daily basis. The course will culminate with a performance assessment of their cumulative knowledge of the
course.
Possible Curriculum/Textbooks:
(List of core, articulated (or to be articulated) texts in the course)
SW and SC use different textbooks for AP Calculus, but all AP texts must be approved text for that course. Both schools are
using AP approved texts. These texts have already been through DIMC, since they are also used for AP Calculus AB.
Additional Resources/Technology:
(List of other resources used prominently in the course, along with technology resources)
Both schools would supplement the course with additional materials from AP Central and from AP training. Every course
syllabus must be approved by the college board, as well as the resources used. Graphing calculators are required for this
course. Other graphing and spreadsheet programs may be used as well through the iPad or laptops.
Revised 06/19/13
2