Course Description

This course is structured around investigations and problem-solving.  This course provides the tools that you will need for college mathematics courses, particularly calculus.  You will build on your learning from Algebra 1, Geometry, and Algebra 2 to construct a deeper understanding of functions.  As you study pre-calculus, you will investigate functions in new ways and work with more abstract forms, including polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions, and their graphs. You will develop a deeper understanding of the concepts that are essential in the development of calculus.

Student Learning Outcomes

Upon successful completion of the course, students will be able to:

1. Graph functions and relations in rectangular coordinates.
2. Synthesize results from the graphs and/or equations of functions and relations.
3. Apply transformations to the graphs of functions and relations.
4. Recognize the relationship between functions and their inverses graphically and algebraically.
5. Solve and apply equations including rational, linear, polynomial, exponential, absolute value, radical, and logarithmic.
6. Apply functions to model real-world applications.
7. Identify special triangles and their related angle and side measures.
8. Evaluate the trigonometric function of an angle given in degree and radian measure.
9. Manipulate and simplify a trigonometric expression.
10. Solve trigonometric equations, triangles, and applications.
11. Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs.
12. Prove/verify trigonometric identities.

Course Content

Chapter 1:  Functions 

Chapter 2:  Linear Functions

Chapter 3:  Polynomial and Rational Functions

Chapter 4:  Exponential and Logarithmic Functions

Chapter 5:  Trigonometric Functions

Chapter 6:  Periodic Functions

Chapter 7: Trigonometric Identities and Equations

Chapter 12:  Introduction to Calculus

Textbook

We will be using an online textbook for this course.

Precalculus from OpenStax, ISBN 1-947172-06-9

The web view is recommended -- the responsive design works seamlessly on any device.

Required material

To ensure that you are successful, it is required that you are prepared with the following materials for class every day: 

• Charged Chromebook
• GRAPH PAPER notebook
• Pencil(s)
• Colored pens or pencils
• Access to a graphing calculator (TI-84 or Desmos)

Course Grading

 The quarter grade for the course will be determined by the following percentage breakdown:

•  Individual Tests/Quizzes    80%
• Classwork/Homework         20%