Precalculus

Course Description:

The student will integrate their experiences from Algebra, Geometry and the sciences to synthesize solutions to new problems.

Students will construct mathematical models from data, use those models to interpret and predict the behavior of the systems generating the data, and understand the assumptions and limitations of the models.

Students will study various classes of functions that can be used to build models, analyze the graphs of those functions, and develop an understanding of the connections between the algebra of the functions and their graphical representations.

Students will develop the ability to write clear and mathematically precise explanations of how they arrived at a solution and why that solution is valid.

Students will improve their skills with algebraic manipulations, use of graphing calculators, recognizing multiple approaches to solving problems, and selecting appropriate tools.

Prerequisites: Successful completion of Algebra 1, Geometry, Algebra 2 & Trigonometry or Honors Algebra 2.

Textbook Used:

Larson, R., Hostetler, R., & Edwards, B., (2005). Precalculus with Limits: A Graphing Approach. Boston: Houghton Mifflin Company
 
Units Covered:

• Functions and Graphs
• Zeros of functions
• Polynomial functions
• Rational and radical functions
• Exponential and logarithmic functions
• Trigonometric functions
• Analytic trigonometry
• Applications of trigonometry
• Parametric equations and polar coordinates
• Matrices and systems of equations and inequalities
• Sequences, series and binomial expansion

Course Requirements:

• A graphing calculator and the accompanying manual.
• Pencils and paper.
• 3-ring binder.