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Pre-Calculus/Trigonometry

Course Description:

Precalculus reviews and extends the student’s understanding of linear, quadratic, polynomial, exponential, and logarithmic and trigonometric functions.  Functions are used to model real life situations. A unifying theme of transformations is related to all topics.

 

Syllabus:

Below is a tentative course schedule for this year.

Semester 1

            Functions and Their Graphs (Ch 1) – 10 days

            Polynomial and Rational Functions (Ch 2) – 10 days

    Trigonometric Functions (Ch 4) – 20 days

    Analytic Trigonometry (Ch 5) – 10 days

 

Semester 2

    Additional Topics in Trigonometry (Ch 6) – 8 days

            Linear Systems and Matrices (Ch 7) – 12 days 

    Topics in Analytic Geometry (Ch 9) – 10 days

    Exponential and Logarithmic Functions (Ch 3) – 9 days

    Limits and an Introduction to Calculus (Ch 11) –  time permitting

 

Course Objectives:

Students will be able to

  • Graph functions and their representations in the Cartesian plane
  • Identify, categorize, and describe functions
  • Analyze and graph polynomial and rational functions
  • Find both real and complex roots
  • Evaluate and graph the trigonometric functions, their inverses, and their reciprocals
  • Apply strategies for simplifying expressions and solving equations by using trigonometric identities
  • Apply trigonometry to oblique triangles and complex numbers
  • Solve systems of equations and to work with matrices
  • Work with conic sections and equations in parametric and polar form
  • Recognize and work with exponential and logarithmic functions
  • Use techniques to calculate the limit of a given graph and function

 

Materials Needed:

            Each day, bring the following materials to class: 

  1. Pencil and eraser (ABSOLUTELY NO PENS) – Work done in pen will not count!!!
  2. Laptop & Graphing Calculator
  3. Paper
  4. Homework from previous class

Evaluation:

Tests and major projects- 35% 

Quizzes and minor projects- 30%

Homework-25%

Participation-10%