Trigonometry/Pre-Calculus

Mrs. Moskal                                                                                        Piscataway High School

Mathematics Dept.                                                                              732-981-0700  ext. 7052

Room A05                                                                                          dmoskal@pway.org

 

Welcome to Trigonometry / Pre-Calculus.  This is a 5-credit course with a dual credit option offered in conjunction with MCC.  The primary texts for this course are “Trigonometry”, Charles P. McKeague, Publisher – Brooks/Cole and “Precalculus With Limits – A Graphing Approach – 3rd Edition”, Larson, Hostetler, Edwards, Publisher – Houghton Mifflin.

 

To help you be successful in this course, every day you should bring the following items to class:

  • A math notebook (spiral or 3-ring with multiple sections), folder/portfolio, and pencil.
  • Completed homework assignment including any assigned worksheets or explorations.
  • A calculator which supports Algebra II and Trigonometry.

 

The grading system is based on percentages.  70% for traditional assessments such as tests, announced and unannounced quizzes, and projects.  30% for alternative assessments such as class assignments, explorations, homework, presentations.

 Homework will usually be assigned on a daily basis.  It will be reviewed and discussed during class.

Homework assignments will be posted on the board, posted in Schoology, and sent via “Remind” and posted on my PHS website.  If you are absent from class, it is your responsibility to make up the work.  Check with a classmate for in-class assignments and class notes.  If you are absent for one day, you have one day to make up the work, and so on.

 I am usually available for extra help any Monday, Wednesday, or Thursday after school or before first block begins.  Please let me know if you need extra help.

 I welcome student and parental contact.  By working together we will have a successful year.

 

Trigonometry/Pre-Calculus - Syllabus

Textbook: Precalculus With Limits – A Graphing Approach – 3rd Edition by Larson, Hostetler, Edwards, Publisher – Houghton Mifflin

 

 

Course Description:

Prerequisite: Algebra 2

 

            This course offers a dual credit option which is offered in cooperation with Middlesex County College (MCC).  A one-time fee payable to the college and a completed application form are necessary for enrollment in this dual credit program.  Four credits at MCC may be optionally earned simultaneously with 5 credits earned at Piscataway High School.  To receive credit from Middlesex County College, students are required to maintain at least a 70 average.  These MCC credits are transferable to other institutions of higher learning.

 

This course emphasizes those topics that best prepare a student for a first course in calculus. The areas of study include the algebraic and trigonometric functions, their graphs, and their applications.  Emphasis is placed on polynomials, rational, exponential, and logarithmic functions, and multivariable linear systems. The course also includes an introduction to limits, and the derivative. Vectors, polar coordinate systems, and matrices and determinants will be covered if time permits. The use of a graphing calculator is heavily integrated into the Pre-Calculus course material and is employed extensively to help students visualize solutions.

 

 

 

Course Schedule:

Approximate Time Frame

Topic

First Marking Period

 

·Prerequisites review of graphical representation of data, graphs of equations, and equation solution methods.

·Functions, graphing functions, shifts, reflections and stretches of graphs, combinations of functions and inverse functions.

·Polynomial and rational functions including quadratic functions, higher degree polynomials, real zeros of polynomials, complex numbers, the fundamental theorem of algebra, rational functions and their graphs (including asymptotes).

Second Marking Period

 

·Exponential and logarithmic functions and their graphs, properties of logarithms, solutions to exponential and logarithmic equations, and models based on exponential and logarithmic functions.

·Definitions of the six trigonometric functions with discussion of angles, degrees, special angles, the rectangular coordinate system, and basic identities.

·Introduction to right angle trigonometry including the use of calculators, functions of acute angles, solutions to right triangles, and right angle trigonometry applications.

·Radian measure including reference angles, conversion between radians and degrees, definitions of the circular functions, arc length and sector area, and linear and angular velocity.

·Graphing and inverse functions including graphs, amplitude, period, phase shift, combinations of functions, and the inverse functions.

Third Marking Period

 

·Identities and formulas including proofs, sum, difference, double-angle, and half-angle formulas.

·Methods for solving trigonometric equations.

·Methods of solving triangles including the law of sines (ambiguous case included), the law of cosines, and proofs and use of the triangle area formulas.

·Summation formulas, introduction to limits, techniques for evaluating limits, solutions to the tangent line problem.

Fourth Marking Period

 

·Limits at infinity, limits of sequences and solutions to the area problem.

·Derivatives

·Solutions to multivariable systems of equations and inequalities, linear programming techniques.

 

 

Last Modified on September 7, 2012