Curated OER
Function Institute
The Function Institute provides descriptions and examples for linear functions, polynomials functions, rational functions, exponential functions, and trigonometric functions.
Math Medics
S.o.s. Math: Solving Exponential Equations
Examples showing how to solve the exponential equation by using logarithms. It also includes a set of exercises to practice with.
Khan Academy
Khan Academy: Interpret Change in Exponential Models: With Manipulation
Solve problems interpreting change in exponential models with manipulation.
Texas Education Agency
Texas Gateway: Transformations of Exponential and Logarithmic Functions
Given an exponential or logarithmic function, the student will describe the effects of parameter changes.
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms Ii
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...
CK-12 Foundation
Ck 12: Algebra Ii: 3.11 Modeling With Exponential Decay and Log Functions
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.
CK-12 Foundation
Ck 12: Algebra Ii: 3.10 Modeling With Exponential Growth Functions
This lesson explores the process for modeling real world scenarios involving growth by writing and solving exponential growth functions.
Khan Academy
Khan Academy: Algebra Ii: Exponential Model Word Problems
Solve word problems about exponential situations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra: Exponential Decay
[Free Registration/Login may be required to access all resource tools.] Learn about exponential decay functions.
Texas Instruments
Texas Instruments: Wrapping It All Up
Students recognize the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.1 & a rei.d.1: Intro. To Polynomials: College
This task serves as an introduction to polynomials or as an application after students are familiar with exponential functions. Aligns with A-REI.D.11.
Concord Consortium
Concord Consortium: Exponential Growth
Students learn about exponential growth in real-world situations.
Math Medics
S.o.s. Math: Solving Logarithmic Equations
A good set of examples that show how to solve logarithmic equations by using exponential functions. Also includes a set of exercises.
Khan Academy
Khan Academy: Fast Modular Exponentiation
Understanding modular exponentiation in cryptography.
Khan Academy
Khan Academy: Modular Exponentiation
Tips and suggestions are explored in understanding the exponentiation.
Khan Academy
Khan Academy: Algebra Ii: Graphs of Logarithmic Functions
Graph logarithmic functions and find the appropriate graph given the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra: Applications of Function Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students draw a scatter plot of data, find and draw the function that best fits that data, and make predictions from that information. Students watch...
Cool Math
Coolmath: Continuous Compounding
Check out this example of a continuous compounding formula.
Texas Instruments
Texas Instruments: Relation Between Graph of a Function and Graph of Derivative
In this Derive activity, students relate the behavior of the graph of an exponential function to the signs of its first two derivatives. They realize that if the signs of the first two derivatives over a given interval are known, a...
Texas Instruments
Texas Instruments: Investigating the Derivatives of Some Common Functions
In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a...
Richland Community College
Richland Community College: Logarithmic Functions
This site from Richland Community College includes basic definition, properties, and graph of the logarithmic function.
Illustrative Mathematics
Illustrative Mathematics: F Le Newton's Law of Cooling
For this problem, students use an exponential equation to investigate the cooling of a cup of coffee and how long it would take for it to cool down to different temperatures. Aligns with F-LE.B.5 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
In this task, students investigate the power of exponential growth in this real-world example of an invasive species that was introduced to Florida in 1966, a giant snail. Aligns with F-LE.A.2 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Boiling Water
Young scholars are shown two tables of data showing the approximate boiling point of water at different elevations. Both data sets can be modeled by linear functions but with different slopes. When the tables are combined, however,...