Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Exponential Functions and Models

For Students 9th - 10th Standards
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Do Two Points Determine an Exponential Function?

For Teachers 9th - 10th
In this task, students investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.
Graphic
Windstream

Ojk's Precalculus Study Page: Exponential Functions

For Students 9th - 10th Standards
An introduction to exponential functions, concentrating on models of exponential growth and decay.
Activity
Texas Instruments

Texas Instruments: Transformations of Exponential Functions

For Teachers 9th - 10th
This activity assesses student's knowledge of transformations of exponential functions. Writing exponential functions that model growth and decay are also explored.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Applications of Exponential Functions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to use exponential functions in real-life situations. Students watch a video tutorial, explore guided notes and attempt practice problems.
Handout
Richland Community College

Richland Community College: Exponential Functions and Their Graphs

For Students 9th - 10th Standards
The site explains exponential functions and characteristics of their graphs.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Exponential Functions

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology. Students examine guided notes, review guided...
eBook
CK-12 Foundation

Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions

For Students 9th - 10th Standards
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Construct Exponential Models

For Students 9th - 10th Standards
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Activity
Oregon State University

Calculus Quest: Power Functions

For Students 9th - 10th
This CalculusQuest site is details the power function by looking at the significance of the function, standard notation, the rules of exponentiation, domains and graphs of power functions, and also calculations. This site is a good...
Handout
Math Open Reference

Math Open Reference: Power Functions

For Students 9th - 10th
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Activity
Analyze Math

Analyze Math: Exponential Functions (2)

For Students 9th - 10th
The tutorial investigates how to use exponential functions to solve word problems. Some topics explored are population and radioactive decay. The activity includes examples with detailed solutions.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Inverse Functions

For Students 9th - 10th Standards
The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Exponential Growth and Decay

For Students 9th - 10th
Find material to use when planning instruction on exponential growth and decay. A lesson offers several examples, graphs, and explanations, and there are two practice exercises and a group activity for testing and applying concepts learned.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii

For Teachers 9th - 10th Standards
In this task, young scholars compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le in the Billions and Exponential Modeling

For Teachers 9th - 10th Standards
For this task, students examine world population data from 1804 to 2012 and investigate whether an exponential function is appropriate for modeling the relationship between the world population and the year. Aligns with F-LE.A.1.c.
Unit Plan
Math Planet

Math Planet: Algebra 1: Exponential Growth Functions

For Students 9th - 10th Standards
An exponential function is a nonlinear function that has the form of y=a*b^x, where a != 0, b > 0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an...
Unit Plan
Math Is Fun

Math Is Fun: Working With Exponents and Logarithms

For Students 9th - 10th Standards
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le, a Rei Population and Food Supply

For Teachers 9th - 10th Standards
In this task, students analyze the sizes of a country's population and of its food supply to determine when and if food shortages will occur. To solve it, they must construct and compare linear and exponential functions and find where...
Handout
Other

Wpi: Exponential Growth and Decay

For Students 9th - 10th Standards
This site explains exponential growth and decay and how it applies to the real world with its use in bacterial populations.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Logarithm Functions

For Students 9th - 10th Standards
Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...
Unknown Type
Khan Academy

Khan Academy: Construct Exponential Models

For Students 9th - 10th
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Exponentials and Logarithms Ii

For Teachers 9th - 10th Standards
The purpose of this task is to help students see that the definition of the logarithm as an exponent results in an inverse relationship between the exponential and logarithm functions with the same base. This prepares them to think about...
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 3.11 Modeling With Exponential Decay and Log Functions

For Students 9th - 10th Standards
This lesson continues exploring the process for modeling real world scenarios by writing and solving exponential and logarithmic functions. It also covers how to create and interpret graphs of such functions.

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