Unit 1: Exponential Functions
Essential Questions:
- What is exponential growth?
- What is an exponential function and how does it behave?
- How can we use a recursive definition to express a sequence of numbers?
Content:
- Recursive definitions for sequences
- Real number exponents and rules for using exponents
- Exponential Functions
- Applications of exponential functions
- Solving exponential equations
Skills and Processes:
- Given a sequence, write its recursive definition
- Given a recursive definition for a sequence, write the sequence
- Prove laws of exponents for rational number exponents
- Use exponential models to solve problems involving exponential growth and decay
- Use a calculator to find exponential models and solve exponential equations