Shodor Education Foundation
Shodor Interactivate: Lesson: More Complicated Functions: Intro Linear Functions
In this instructional activity, learners learn about linear functions and how they can be represented as rules and data tables. Includes a worksheet with exploration questions to accompany an interactive Linear Function Machine. The...
Analyze Math
Analyze Math: Differentiation of Exponential Functions
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
Analyze Math
Analyze Math: Differentiation of Hyperbolic Functions
Students learn about differentiation of hyperbolic functions. The tutorial consists of examples with detailed solutions.
University of Illinois
University of Illinois: Exponential Review
This site from the University of Illinois shows several basic graphs, gives properties of exponential functions, and has practice problems at the end of the site.
Cool Math
Coolmath: Solving for Time and Rates
Explanation and examples of solving exponential equations for time and rate.
Paul Dawkins
Paul's Online Notes: Exponential and Logarithm Equations Practice Problems
In this section we will discuss various methods for solving equations that involve exponential functions or logarithm functions.
Paul Dawkins
Paul's Online Notes: Exponential Functions Practice Problems
In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions
![Glencoe: Exponential Functions [Pdf] eBook](https://content.lessonplanet.com/knovation/original/372899-5df67373d707527e123d93bca4c13987.jpg?1661544406 "Glencoe: Exponential Functions [Pdf] eBook")
McGraw Hill
Glencoe: Exponential Functions [Pdf]
Students are given a real world problem to use to explore exponential functions. Students can also complete the given practice problems after reading the examples.
Illustrative Mathematics
Illustrative Mathematics: F Le Comparing Exponentials
In this task, students work with exponential functions in a real-world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Functions
Students are shown the intersecting graphs of two exponential functions in the format of f(x) = a times b to the power of x, and are asked to explore their characteristics. They discover that the value of each function will increase by a...
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 1
In this task, students prove that linear functions grow by equal differences over equal intervals, and notice that in this case, the equal differences have the same value as the slope. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, students 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...
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Factors Over Equal Intervals
For this task, students investigate the changes that take place in the values of a function to determine that exponential functions grow by equal factors over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 2
For this task, students investigate the changes that take place in the values of a function to determine that linear functions grow by equal differences over equal intervals. Aligns with F-LE.A.1.a.
Khan Academy
Khan Academy: Graphing Exponential Growth & Decay
Graph exponential functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time
Practice analyzing the end behavior of two functions that model similar real-world relationships, where one function is exponential and the other is polynomial. Students receive immediate feedback and have the opportunity to try...
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Linear vs. Exponential Growth: From Data
Given a table with values of two quantities over time, determine whether the quantities grow linearly or exponentially. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Khan Academy
Khan Academy: Interpret Change in Exponential Models
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Interpret Time in Exponential Models
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
CK-12 Foundation
Ck 12: Algebra: Solving Equations With Exponents
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving exponential equations.
CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to analyze and graph exponential growth functions.
CK-12 Foundation
Ck 12: Algebra Ii: Analysis: Solving Exponential Equations
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving exponential equations. Students examine guided notes, review guided practice and attempt practice problems.