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.
Required Materials:
- Printer
- Recommended: graphing calculator
Syllabus:
Module 01: Functions
- 01.00 Functions Checklist
- 01.01 Key Features of Functions and Their Graphs
- 01.02 Polynomial Functions
- 01.03 Rational Functions
- 01.04 Radical Functions
- 01.05 Functions Mid-Module Check
- 01.06 Exponential Functions
- 01.07 Logarithmic Functions
- 01.08 Piecewise Functions
Module 02: Applications of Functions
- 02.00 Applications of Functions Checklist
- 02.01 Compare Key Features of Functions
- 02.02 Systems of Equations
- 02.03 Combining Functions
- 02.04 Composing Functions
- 02.05 Applications of Functions Mid-Module Check
- 02.06 Inverse Functions
- 02.07 Difference Quotient
Module 03: Conic Sections
- 03.00 Conic Sections Checklist
- 03.01 Exploring Conic Sections
- 03.02 Circles
- 03.03 Parabolas
- 03.04 Conic Sections Mid-Module Check
- 03.05 Ellipses
- 03.06 Hyperbolas
- 03.07 Applications Using Conic Sections
Module 04: Sequences and Series
- 04.00 Sequences and Series checklist
- 04.01 Sequences vs. Series
- 04.02 Arithmetic Sequences
- 04.03 Geometric Sequences
- 04.04 Series
- 04.05 Applications of Sequences and Series