University of Minnesota
University of Minnesota: Exponential Graph
The University of Minnesota offers an animated calculus site showing how the graph changes as the base changes.
Illustrative Mathematics
Illustrative Mathematics: F Le Us Population 1790 1860
In this task, students are shown a table of U.S. population data between 1790 and 1860 and are asked to explore whether exponential functions would be appropriate to model relationships within the data. The purpose of the task is to help...
Paul Dawkins
Paul's Online Notes: Calculus I: Review
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
PBS
Pbs Learning Media: Cyberchase: Chess Wager
Harry and his friend make a wager on a game of chess and discuss the concept of exponential growth in this short Cyberchase video. [3:26]
Texas Instruments
Texas Instruments: Math Today More of Us
In this activity students will investigate exponential functions and their graphs using real-life data. Students will analyze population data for the United States and create an exponential model for the scatter plot.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Exponenciales Y Logaritmicas
In this activity you will learn how to differentiate and solve logarithmic equations and observe the relationship between logarithmic and exponential equations.
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Rebounds
The purpose of this task is to introduce students to an exponential decay function in the form f(x) = abx, with a concrete interpretation of the decay factor b. A table shows the rebound height of a basketball for each successive bounce....
Thinkport Education
Thinkport: Algebra Ii: Regression
Build on your understanding of modeling with linear, quadratic and exponential functions to begin to include other function families.
Texas Instruments
Texas Instruments: Problem Solving: Modeling the Marathon
In this activity, students use the TI InterActive! and exponential functions to predict if, and when, women will better the men's record in the marathon event in the Olympic games.
Texas Instruments
Texas Instruments: Nevada's Population
In this activity, students examine patterns and use these patterns to try to predict different aspects of an event. They study the statistical patterns for the population of the state of Nevada over a period of hundred years, and predict...
Texas Instruments
Texas Instruments: The Inverse Relationship Between Pressure and Volume
In this activity, students' will use a pressure sensor to investigate the relationship between pressure and volume for an enclosed air sample, and fit an inverse function model to the pressure versus volume data.
Curated OER
S.o.s. Math: Exponential Functions
S.O.S. Mathematics offers a simple and easy definition and example of an exponential function in algebra.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Kiss
The purpose of this task is to use technology to study the behavior of some exponential and logarithmic graphs and to manipulate some explicit logarithmic and exponential expressions. Aligns with HSF-LE.A.4, F-BF.B.5, and F-IF.C.7.e.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating
The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating. Aligns with F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Bacteria Populations
This task provides a real-world context for interpreting and solving exponential equations. Young scholars are asked to examine the equations representing the growth of three colonies of the bacterium that causes pneumonia, each colony...
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice Ii
This problem introduces Carbon 14 dating which is used by scientists to date certain organic material. This version is based on the ratio of Carbon 14 to Carbon 12, which decreases at a constant exponential rate after an organism dies....
Texas Instruments
Texas Instruments: On the Rebound
In this activity, students collect motion data for a bouncing ball using a motion detector. They analyze the data and attempt to find the exponential relationship between the bounce number and maximum height that the bounce reaches.
CK-12 Foundation
Ck 12: Algebra: Quadratic Functions and Equations
[Free Registration/Login may be required to access all resource tools.] This lesson covers vertex, intercept, and standard forms.
Texas Instruments
Texas Instruments: Where Should They Hold the Fundraising Party?
Students learn how to create a table of values for a simple linear function and use the table to create a graph on squared paper. They use the graphing calculator to display the ordered pairs and find values of corresponding to values of...
University College London
University College London: Hyperbolic and Trigonometric Functions
This site has information relating the hyperbolic and trigonometric functions.
Other
Desmos: Modeling Bundle
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
Interactive Mathematics
Interactive Mathematics: Applications of Derivatives
The derivatives of logarithmic and exponential functions are used in problems dealing with earthquake measurement and air resistance. The problems allow students to see how these derivatives are applied with practice.
University College London
University College London: Introduction to Hyperbolic Functions
This is a brief introduction to hyperbolic functions. Contains a definition only, no graphics.
Wolfram Research
Wolfram Math World: Exponent Laws
View a list of laws governing exponents, including special cases. Provides formulas, visuals, references, and citation information.