Download Trigonometry

Trigonometry
Benton High School, 2012-2013
Robert R. Gastler
Course Description: Trigonometry is a one semester course that prepares students to solve
numerous real-world problems, and provides a foundation for the study of calculus. Consideration
will be given to triangle measurement, the six trigonometric functions and their inverses with
special emphasis on domains, ranges, and graphs. Degree and radian measure will be utilized,
identities will be derived and verified, right triangle and general triangle solutions will be studied
including the laws of sines, cosines, and Herons formula.
Pre-requisites: Successful completion of Algebra II or Honors Algebra II.
Textbook: Lial, Hornsby, Schneider, ”Trigonometry”, 8th Ed., Pearson Education, Inc. 2005.
Grading: The students grade will be calculated as follows:
Classwork .......................................... 15%
Homework ......................................... 20%
Quizzes .............................................. 5%
Exams ............................................... 50%
Final Exam ....................................... 10%
Classwork: The student will learn the concepts outlined below through exercises done under the
supervision of the instructor and participation in activities. Classwork can be made up as
homework in the event of an excused absence (see section, Attendance).
Homework: Practice exercises will be assigned at the end of each class period with exception to
exam days. They will be due at the beginning of the following class period. A random subset of
the exercises will be graded for completeness and correctness. Late homework can be turned in on
or before the day of the exam for half credit. After the exam, no homework will be accepted from
from material covered by that exam.
Quizzes: Given in class frequently, quizzes will be short and will indicate the students
comprehension of recent topics. These are designed to give the student feedback on material prior
to the exam and under test-like conditions. They can be announced or unannounced.
Exams: There will at least two exams and a cumulative final. The exams will be cumulative in
the sense that topics and techniques build upon each other throughout the course, but not in the
sense of objectives tested.
Attendance: This course will be cumulative in nature. The purpose of homework is to reinforce
the concepts learned under the supervision of the instructor during classwork. Therefore
attendance is critical. In the event of an excused absence, the schools policy on make-up work
applies. Homework that was due on the day of the absence is due the first day back. It is the
students responsibility to get make-up assignments from the instructor the day following the
absence and seek help outside of class to catch up on missed content. No late work will be
accepted if the absence us not excused by the school.
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Course Outline:
Unit 1: Trigonometric Functions
(1) Angles
(2) Angle Relationships and Similar Triangles
(3) Trigonometric Functions
(4) Definitions of the Trigonometric Functions
Unit 2: Acute Angles and Right Triangles
(1) Right Triangle Definitions of Trigonometric Functions and Cofunctions
(2) Reference Angles
(3) Trigonometry and the Scientific or Graphing Calculator
(4) Solving Right Triangles
(5) Right Triangles and Bearing
Unit 3: Radian Measure and Circular Functions
(1) Radian Measure
(2) Applications of Radian Measure
(3) The Unit Circle and Circular; Functions
(4) Linear and Angular Speed
Unit 4: Graphs of Circular Functions
(1) Graphs of Basic Sine and Cosine Functions
(2) Apply Translations in Graphing
(3) Phase Shift in Graphing
(4) Graphs of the Other Circular Functions
Unit 5: Trigonometric Identities
(1) Fundamental Identities
(2) Verifying Trigonometric Identities
(3) Sum and Difference Identities for Cosine
(4) Sum and Difference Identities for Sine and Tangent
(5) Double Angle Identities
(6) Half Angle Identities
Unit 6: Inverse Trigonometric Functions and Trigonometry Equations
(1) Inverse Circular Functions
(2) Solve Trigonometric Equations
Unit 7: Applications of Trigonometry and Vectors
(1) Law of Sines
(2) The Ambiguous Case of the Law of Sines
(3) Law of Cosines and Heron’s Formula
(4) Vectors, Operations, and Dot Product
(5) Applications of Vectors