Transcript AP CALCULUS BC H

BENJAMIN DILLON
Biography
• Education
– SJHS ’86, Purdue ’89, IUSB ’99
• Contact
– [email protected]
– 289-TREK
• Favorite Quote
– “Why, sometimes I’ve believed as many as six impossible
things before breakfast!”
Through the Looking-Glass
BENJAMIN DILLON
Policies
• Every member of this class is responsible for
maintaining a positive classroom environment.
• Attendance
– Homework and quizzes during absences
automatically become optional
– For work other than homework and quizzes, planned
absences get no extension, and unplanned absences get
extension equal to number of days absent
• Tardiness
– “On time” includes not needing to leave after arrival
• Consequences
– Warning, AM/PM, Detention (resets every quarter)
PRECALCULUS/TRIG H
Course Description
This course covers the same topics as PreCalculus and
Trigonometry, but in much greater depth and detail. Problem
solving is a vital part of this course. In addition, work in vectors,
limits, and mathematical theory is included. The student is
expected to demonstrate mathematical creativity and thought as
well as maintain accuracy in computations and applications.
PRECALCULUS/TRIG H
Course Outcomes
• Students will recognize, analyze, and graph various types of
functions, including polynomial, rational, algebraic, exponential,
and logarithmic.
• Students will apply the various types of functions to solve word problems.
• Students will use arithmetic and geometric sequences and series.
• Students will model data with linear and non-linear functions.
• Students will define trigonometric functions using right triangles and the
unit circle.
• Students will apply the laws of sines and cosines.
• Students will draw and analyze graphs of the functions and their inverses.
• Students will prove trigonometric identities.
• Students will solve trigonometric equations.
• Students will use trigonometry to solve word problems.
• Students will connect polar coordinates and complex numbers with
trigonometry.
PRECALCULUS/TRIG H
Course Structure
• Materials
– Precalculus with Trigonometry, Foerster
– Calculator (TI-89 recommended, TI-83+ or TI-84+ allowed)
• Plan is to finish the book, so about a chapter every two weeks
• Grading
– Each chapter will consist of several homeworks (5 points
apiece, some optional), a quiz (10), a test (100), and a
journal (0). There may be additional extra credit
opportunities in the form of contests, and there will be one
project each quarter.
– All components will use the standard SJHS grading scale
(A+ ≥ 99, A ≥ 95, A- ≥ 93, B+ ≥ 91, B ≥ 87, B- ≥ 85,
C+ ≥ 83, C ≥ 79, C- ≥ 77, D+ ≥ 75, D ≥ 72, D- ≥ 70)
SAINT JOSEPH’S HS
Strategies for Success in Math
• Be active in studying, not passive.
Take complete notes; participate in class; keep
up with homework; form a study group.
• Be specific in asking questions, not vague.
The best response you can expect in reply to a comment like “I
don’t understand this section” is a brief review of the section
that will likely overlook the particular concept that isn’t
understood.
• Be resourceful in doing problems, not conventional.
When you cannot solve a problem, try another tactic: work
backward, make a table, consider a special case, draw a picture,
or solve a simpler related problem.