Unit 2 - Exponents and Logarithms
Lesson 2.1 - Introduction to Exponential Functions and their graphs
Learning Objectives: SWBAT
- Define exponential function
- Identify key attributes of an exponential function.
- Identify transformations of the parent graph of an exponential function
- Evaluate and create a data table to graph an exponential function
Lesson 2.2 - Compound Interest and the Number "e"
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Discover and approximate the number "e"
- Solve real world problems that use the principles of exponential functions and the number "e" such as compound interest, continually compounding interest and exponential growth/decay.
Lesson 2.3 - The Basics of Logarithms
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Describe the relationship between an Exponential function and a Logarithmic Function
- Convert an exponential equation into logarithmic form and vice versa.
Lesson 2.4 - Graphs and properties of Logarithms
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Describe the relationship between an Exponential function and a Logarithmic Function (graphically)
- Describe transformations of logarithmic Graphs
- Use the basic properties of logs to simplify expressions
Lesson 2.5 - The Natural Log
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Describe the relationship between the natural log and the exponential function e^x
- Use the properties of natural logs to simplify expressions and solve basic equations
Lesson 2.6 - The change of base formula
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use the change of base formula to evaluate logarithms that are not base 10 (part 1)
Lesson 2.7 - Properties of Logarithmic Operations
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use the properties of Logarithmic operations to expand/condense logarithmic expressions
Lesson 2.8 - Solving Exponential Equations
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Solve Exponential equations that both do and do not require the use of logarithms
- CLICK HERE for a video to help you solve basic exponential equations that DO NOT require logs
- CLICK HERE for a video that models several examples of solving exponential equations that DO require logs
Lesson 2.9 - Solving Logarithmic Equations
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Solve Logarithmic Equations and check for/identify extraneous solutions
- CLICK HERE for a video that models several problems solving logarithmic equations including those with extraneous solutions
Lesson 2.10 - Exponential and Logarithmic Applications
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Solve real world problems involving Exponential and Logarithmic principles
- Population Growth, The Richter Scale, Compound Interest
- CLICK HERE for a video that demonstrates how to use logarithms to solve a compound interest problem