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Unformatted text preview: CURRICULUM GUIDE
AP Calculus AB CEDAR GROVE PUBLIC SCHOOLS
520 Pompton Avenue
Cedar Grove, New Jersey 07009 Approved by the Cedar Grove Board of Education
12 June 2007
Dr. Gene Polles, Superintendent
Thomas J. Altonjy, Administrative Assistant to the Superintendent
Elizabeth Toriello, Supervisor
Janine Miscia, Teacher
Board of Education
Jean Jaeger, President
Frank Mandala, Vice – President
Anthony Palma, Joseph Racaniello Description
This is a collegelevel course that is designed primarily for students who have
demonstrated a strong mathematical ability in all previous math courses and are
independent workers. AP Calculus AB encompasses the two branches of a typical
Calculus course: derivatives and integrals along with associated applications.
Students will have an understanding of all topics analytically, graphically,
numerically, and verbally. All students enrolled in the class are expected to take the
College Board AP Exam in May. Assessments include quizzes, tests, group work
and presentations. Activities are completed throughout the year in addition to
practicing problems from supplementary AP Exam materials.
Prerequisites: A minimum grade of “B” in Precalculus Honors and teacher
recommendation. AP application must be submitted. UNIT 1 – PreCalculus Review
Course Objective(s)
Review all components of
the coordinate graph and
linear functions Student Objectives
•
•
•
• Identify basic terminology
and properties associated
with functions • •
•
•
• Define all terms associated with the
coordinate plane
Use the distance formula and
reflections with respect to the axes
and origin in problemsolving
Find the slope of a line, and determine
the relationship between parallel and
perpendicular lines
Write the equation of a line in slopeintercept, pointslope and standard
forms
Classify functions (polynomial,
rational, root, quadratic, cubic,
reciprocal, composite), and determine
all associated characteristics
Find the domain and range of a
function
Determine if a function is odd or even
with respective types of symmetry
Perform a composition of functions
Identify all the characteristics of the
inverse of a function NJ CCCS
4.1
4.2
4.3
4.5 4.1
4.2
4.3
4.5 Strands &
Indicators
A,B,C
A1,A3,C,D
A,B1,B2
C ,D
B,C,D,E,F A,B,C
A1,A3,C,D
A,B1,B2,C,D
C (all) D (all)
B,C,D,E,F Suggested
Timeframe
(in blocks)
1 3 Course Objective(s)
Present “unique” functions
and accompanying
properties
Identify all properties of
exponential and logarithmic
functions Present the three basic
trigonometric functions Student Objectives
• •
• •
• •
•
Review transformations for
all of the above functions •
•
• Understand all characteristics of the
following functions both graphically
and algebraically: absolute value,
greatest integer, piecewise
Establish connections between
exponential functions of the form cx
Apply properties of e x and ln x when
algebraically manipulating
exponential and logarithmic equations
functions
Graph the th...
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 Spring '10
 Zalla
 Calculus, AP Calculus

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