Unit 10: Exponents, Exponential & Logarithmic Functions
This unit explores the properties and applications of exponents, exponential functions, and logarithms. You will learn how to apply laws of exponents, handle negative and zero exponents, convert numbers to scientific notation, graph exponential functions, solve exponential and logarithmic equations, and model real-world growth and decay scenarios.
Unit Goals
- Master the laws of exponents, including negative and zero exponents.
- Use scientific notation for very large and very small numbers.
- Understand and graph exponential functions and model exponential growth and decay.
- Introduce logarithms as inverses of exponentials and use basic log properties.
- Apply laws of logarithms to simplify expressions and solve exponential and logarithmic equations.
- Solve real-world problems modeled by exponential and logarithmic functions.
Lessons
- Laws of Exponents (product, quotient, power rules)
- Negative and Zero Exponents
- Scientific Notation
- Exponential Functions and Graphs
- Exponential Growth and Decay
- Introduction to Logarithms
- Laws of Logarithms
- Solving Exponential and Logarithmic Equations
- Applications of Exponential & Logarithmic Models