Pre-Calculus Honors

Dive deeper into your knowledge of functions by analyzing their key features and combining them to solve real-world problems. Learn about trigonometric functions and their applications, along with new ways to use the coordinate plane to represent different types of functions. Apply these skills to discover the power mathematics has in everyday life and to prepare for advanced mathematical studies in college or your future career.

Major Concepts:

Functions

• Key Features of Functions and Their Graphs
• Polynomial Functions
• Rational Functions
• Radical Functions
• Exponential Functions
• Logarithmic Functions
• Piecewise Functions

Applications of Functions

• Compare Key Features of Functions
• Systems of Equations
• Combining Functions
• Composing Functions
• Inverse Functions
• Difference Quotient

Conic Sections

• Exploring Conic Sections
• Circles
• Parabolas
• Ellipses
• Hyperbolas Applications Using Conic Sections

Sequences and Series

• Sequences vs. Series
• Arithmetic Sequences
• Geometric Sequences
• Series
• Applications of Sequences and Series

Trigonometry

• Defining Trigonometric Functions and Their Angles
• Law of Sines
• Law of Cosines
• Unit Circle
• Making the Unit Circle Work for You
• Graphing the Sine and Cosine Functions
• Graphing Other Trigonometric Functions
• Analyzing Trigonometric Functions

Trigonometric Identities and Formulas

• Trigonometric Identities
• Angle Sum and Difference Formulas
• Double-Angle and Half-Angle Formulas
• Applying Trigonometric Identities
• Solving Trigonometric Equations

Vectors

• What is a vector?
• How are vectors written?
• What vector operations can be applied?
• How are vectors multiplied?
• Can vectors change size?
• Why are vectors useful?

Analyzing the Coordinate Plane

• Polar Coordinates
• Polar Equations
• Complex Numbers
• Applications of Complex Numbers
• Parametric Equations