Description
This lesson is intended to be used to introduce the idea of log functions.
It needs to be used after learning about inverse functions. Students need to know that an inverse swaps the x and y values, and that the inverse graph will be the reflection of the parent graph over the line y=x.
This lesson explores the relationship between the parent and inverse graphs for 8 parent functions, then does a deep dive into the inverse of an exponential function. This lesson does NOT introduce the word "logarithm".
Teacher notes slide at the end!
Students will work in teams of 4 (easily adjustable) to graph a total of 8 (2 each) parent functions and their inverses. They will explore the table, graph, equation, and relationship between the inputs and outputs of the inverse of an exponential function. Finally, they will summarize everything they have learned about the inverse of an exponential function.
These slides include an optional extension that has students consider what the inverse of an absolute value function would look like. (You may have to disappoint them by explaining there is no named function for this lol.)
A good follow-up to this lesson is to formalize the "logarithm" terminology and notation.
Highlights
Description
This lesson is intended to be used to introduce the idea of log functions.
It needs to be used after learning about inverse functions. Students need to know that an inverse swaps the x and y values, and that the inverse graph will be the reflection of the parent graph over the line y=x.
This lesson explores the relationship between the parent and inverse graphs for 8 parent functions, then does a deep dive into the inverse of an exponential function. This lesson does NOT introduce the word "logarithm".
Teacher notes slide at the end!
Students will work in teams of 4 (easily adjustable) to graph a total of 8 (2 each) parent functions and their inverses. They will explore the table, graph, equation, and relationship between the inputs and outputs of the inverse of an exponential function. Finally, they will summarize everything they have learned about the inverse of an exponential function.
These slides include an optional extension that has students consider what the inverse of an absolute value function would look like. (You may have to disappoint them by explaining there is no named function for this lol.)
A good follow-up to this lesson is to formalize the "logarithm" terminology and notation.
