# Syllabus

Westerly High School Pre-Calculus Syllabus
2016-2017
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Instructor: Mrs. Octeau
Location: Rm 307
Email: jocteau@westerly.k12.ri.us
Course: Precalculus CP (442)
Credits: 1
Course Description:
This course blends the concepts and skills that must be mastered before enrollment in a
college level Calculus course. This course includes the study of relations and functions, exponential and logarithmic functions, trigonometry, trigonometric functions, trigonometric identities, and equations.

Textbook:
Glencoe Mc-Graw Hill, PreCalculus, 2011
*TI-84 Calculators are suggested.

Course Sequence:

Semester One

Unit 1: Functions from a Calculus Perspective

• Describe subsets of real numbers
• Identify and evaluate functions and state their domains
• Use graphs of functions to estimate function values and find domains, ranges, y-intercepts, and zeros of functions.
• Explore symmetries of graphs, and identify even vs. odd functions.
• Use limits to determine the continuity of a function.
• Use limits to describe end behavior of functions.
• Determine intervals on which functions are increasing, constant, or decreasing, and determine maxima and minima of functions.
• Determine the average rate of change of a function.
• Identify, graph, and describe parent functions.
• Identify and graph transformations of parent functions.
• Perform function operations.
• Find composition of functions.
• Use horizontal line test to determine whether a function has an inverse function.
• Find inverse functions algebraically and graphically.

Unit 2: Rational Functions

• Analyze and graph rational functions
• Solve rational equations.
• Find the equations of vertical, horizontal, and oblique asymptotes.

Semester Two:

Unit 3: Exponential and Logarithmic Functions

• Evaluate, analyze, and graph exponential functions.
• Solve problems involving exponential growth and decay.
• Solve problems involving interest compounded continuously or compounded “n” times a year.
• Evaluate expressions involving logarithms
• Sketch and analyze graphs of logarithms functions
• Apply properties of logarithms
• Apply the change of base formula
• Apply the one-on-one property of exponential functions to solve equations.
• Apply the one-on-one property of logarithmic functions to solve equations.

Unit 4: Trigonometric Functions:

• Find values of trigonometric functions for acute angles of right triangles.
• Solve right triangles.
• Convert degree measures of angles to radian measures.
• Converse radian measure of angles to degrees.
• Use angle measures to solve real world problems.
• Find values of trigonometric functions for any angle.
• Find values of trigonometric functions using the unit circle.
• Graph transformations of the sine and cosine functions.
• Use Sinusoidal functions to solve problems.
• Graph tangent functions.
• Solve oblique triangles by using the Law of Sines or the Law of Cosines.
• Find areas of oblique triangles.

Extension:

Unit 5: Trigonometric Identities and Equations

• Identify and use basic trigonometric identities to find trigonometric values.
• Use basic trigonometric identities to simplify and rewrite trigonometric expressions.
• Verify trigonometric identities
• Determine whether equations are identities.
• Solve trigonometric equations using algebraic techniques
• Solve trigonometric equations using basic identities.
• Use the sum and difference identities to solve trigonometric equations

Classroom Materials:
• 1.5” 3-ring binder
• White lined paper
• Graph paper
• Supply of pencils with erasers (pens will not be accepted on tests and/or quizzes)
• Graphing Calculator
• Highlighters/Colored Pencils

Educational Support
• After School Extra Help: As needed, please make an appointment.
• Take advantage of after school study groups before tests.

Student Expectations
Come to class on time, prepared and ready to learn.
∙ Treat all people in the classroom with common courtesy and respect.
∙  Participate in class to the best of your ability.
∙  Remain quiet and in their seats until they are dismissed by the teacher at the end of class.
∙  Maintain a personal standard of academic ethics.
∙ In no way participate or give the appearance of contributing to any cheating, copying, or plagiarizing.
∙  Communicate with their parents/guardians about their progress in the course.
∙ Aim for success!!! Do your best to successfully complete the course and aim for an “A”!

Daily Classroom Procedures

Before Entering the Classroom:
Use the restroom. Students are asked not to use the restroom during the lesson
∙ Make sure you have your binder, pencil, calculator, and completed assignments.

When You First Enter the Classroom:
∙ Sit in your assigned seat.
∙ Place everything but the instructional materials on the floor or under your desk.
∙ Begin "drill" problems as part of the next assignment while attendance is being taken.

When You Leave the Classroom:
Make sure you have written down the homework.
∙ Leave your desk area clean.
∙ Return any supplies that you used to the teacher.

You must keep all returned tests and quizzes in your binder! Do not throw away any assignment!  This will be your study guide for your midterm and final exams!!

Homework Policy:
• Homework is an important part of learning mathematics and will be assigned daily
• Full credit will only be given if all work is shown and all problems are attempted

There may be problems that are unusually difficult that you have not seen yet. It is ok to get frustrated, I am hoping that the homework will challenge you to think.  Thinking is part of learning. If you are having difficulty with your homework, keep the following in mind:

∙ Write down what you know.
∙ Write down what the problem is asking you to do.
∙ Look through your notes for examples.
implies that you are already reading each section. THE EXAMPLES IN OUR TEXTBOOK ARE
EXTREMELY GOOD. USE THEM AS A GUIDE.
∙ Go online and/or phone a friend.

It is the responsibility of the student to get missed notes and assignments when absent.  Please see the student handbook for the make-up policy.

Tardiness Policy
On your first unexcused tardiness to class, you will be given a warning. After two unexcused tardies, you will be required to stay after school with the teacher the following day to make up the time that you have missed in class. If tardiness becomes a repeat offense, you will be referred to the office.