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- HSF-LE.A.1Distinguish between situations that can be modeled with linear functions and with exponential functions.
- HSF-LE.A.2Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
- HSF-LE.A.3Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
- HSF-LE.A.4For exponential models, express as a logarithm the solution to ab<sup>ct</sup> = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

Speed Dating with Logarithms

12th Grade Math

» Unit:

Logarithmic Functions and Equations

Big Idea:Students solve exponential and logarithmic equations with their ‘date’ in this interactive and self-checking speed dating activity.

Exponentials and Logarithms: LOUD and CLEAR!

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This engaging lesson allows the students to apply logarithms to the real world! After finishing the study, students will think twice before playing their music too loud!

Elephant Tracks!

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson teaches the students to use the natural logarithm function to find the age of an elephant!

"Demystifying e" Day #1

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to “Demystify e”!

Unit Review Game: The Row Game

12th Grade Math

» Unit:

Exponential and Logarithmic Functions

Big Idea:Get everyone involved and incorporate movement using The Row Game.

FInal Discussion - "Demystifying e" PLUS Skills Practice with Logarithms

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson builds on the “concept level” understanding that the students have obtained on “e” and extends that knowledge to skills practice and the natural logarithm function. It also focuses on mathematics specific readings strategies.

Change of Base Formula

12th Grade Math

» Unit:

Exponential and Logarithmic functions

Big Idea:If a logarithms does not have a base of 10 or e it can be rewritten by using the change of base formula.

Midterm Review Game: Trashball

12th Grade Math

» Unit:

Midterm Review and Exam

Big Idea:Use Trashball to get students ready for the midterm exam!

Exponential and Logarithmic Functions Test

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:Students get to show what they know about exponential and logarithmic functions.

Exponential Functions and Logarithms - Connecting the Dots

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson builds nicely on the students’ knowledge of inverse functions and introduces them to the world of logarithms. Rather than trying to memorize mathematical notation, the students are guided through an in-depth study under the umbrella of exponen

Exponential and Logarithmic Equations

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:Here is one of those places that we get to show students how logarithms are useful.

Simplifying Logarithms

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:It's just an exponent, it's just an exponent, it's just an exponent...

Calculator Boot-Camp and Solving Exponential Equations

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson places a high emphasis on teaching the students how to properly use a calculator when solving exponential/logarithmic equations.

Experts on Exponential Equations

12th Grade Math

» Unit:

Logarithmic Functions and Equations

Big Idea:Student teams become experts on one approach to solve an exponential or logarithmic equation and present the method to the class.

Natural Logarithms

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson highlights one of the most famous, and useful, numbers in mathematics.

HSF-LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

HSF-LE.A.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

HSF-LE.A.3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

HSF-LE.A.4

For exponential models, express as a logarithm the solution to ab^{ct} = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.