Course Overview:
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.
Prerequisites:
- Algebra I Semester 1
- Algebra I Semester 2
- Algebra II Semester 1
- Algebra II Semester 2
- Geometry Semester 1
- Geometry Semester 2
Required Materials:
- Printer
- Recommended: graphing calculator
Syllabus:
Segment One
Module 01: Functions
- 00 Functions Checklist
- 01 Key Features of Functions and Their Graphs
- 02 Polynomial Functions
- 03 Rational Functions
- 04 Radical Functions
- 05 Functions Mid-Module Check
- 06 Exponential Functions
- 07 Logarithmic Functions
- 08 Piecewise Functions
Module 02: Applications of Functions
- 00 Applications of Functions Checklist
- 01 Compare Key Features of Functions
- 02 Systems of Equations
- 03 Combining Functions
- 04 Composing Functions
- 05 Applications of Functions Mid-Module Check
- 06 Inverse Functions
- 07 Difference Quotient
Module 03: Conic Sections
- 00 Conic Sections Checklist
- 01 Exploring Conic Sections
- 02 Circles
- 03 Parabolas
- 04 Conic Sections Mid-Module Check
- 05 Ellipses
- 06 Hyperbolas
- 07 Applications Using Conic Sections
Module 04: Sequences and Series
- 00 Sequences and Series checklist
- 01 Sequences vs. Series
- 02 Arithmetic Sequences
- 03 Geometric Sequences
- 04 Series
- 05 Applications of Sequences and Series
Segment Two
Module 05: Trigonometry
- 00 Trigonometry Checklist
- 01 Defining Trigonometric Functions and Their Angles
- 02 Law of Sines
- 03 Law of Cosines
- 04 Unit Circle
- 05 Making the Unit Circle Work for You
- 06 Trigonometry Mid-Module Check
- 07 Graphing the Sine and Cosine Functions
- 08 Graphing Other Trigonometric Functions
- 09 Analyzing Trigonometric Functions
Module 06: Trigonometric Identities and Formulas
- 00 Trigonometric Identities and Formulas Checklist
- 01 Trigonometric Identities
- 02 Angle Sum and Difference Formulas
- 03 Double-Angle and Half-Angle Formulas
- 04 Trigonometric Identities and Formulas Mid-Module Check
- 05 Applying Trigonometric Identities
- 06 Solving Trigonometric Equations
Module 07: Vectors
- 00 Vectors Checklist
- 01 What is a vector?
- 02 How are vectors written?
- 03 What vector operations can be applied?
- 04 How are vectors multiplied?
- 05 Vectors Mid-Module Check
- 06 Can vectors change size?
- 07 Why are vectors useful?
Module 08: Analyzing the Coordinate Plane
- 00 Analyzing the Coordinate Plane Checklist
- 01 Polar Coordinates
- 02 Polar Equations
- 03 Complex Numbers
- 04 Applications of Complex Numbers
- 05 Parametric Equations
