Texas Instruments
Texas Instruments: Modeling Exponential Decay With a Look at Asymptotes
Students use sample data to approximate models with the Transformation Graphing Application. They are introduced to the idea of discrete data sets being used with continuous function models. They also identify non-zero asymptote form of...
Texas Instruments
Texas Instruments: Sour Chemistry: The Exponential P H Change
In this activity, students' will use a pH sensor to record pH versus time data as an antacid tablet neutralizes acid in lemon juice. They will model the pH data with a modified exponential function.
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 in the Billions and Exponential Modeling
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.
Khan Academy
Khan Academy: Fitting Quadratic and Exponential Functions to Scatter Plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: F Le What Functions Do Two Graph Points Determine?
In this task, students find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.
Sophia Learning
Sophia: Exponential Functions Are Nonlinear: Lesson 5
This lesson explains how exponential functions are related to nonlinear functions. It is 5 of 2 in the series titled "Exponential Functions Are Nonlinear."
Sophia Learning
Sophia: Exponential Functions Are Nonlinear: Lesson 3
This lesson explains how exponential functions are related to nonlinear functions. It is 3 of 2 in the series titled "Exponential Functions are Nonlinear."
Sophia Learning
Sophia: Exponential Function: Lesson 2
This lesson defines the phrase exponential function. It is 2 of 5 in the series titled "Exponential Function."
Sophia Learning
Sophia: Exponential Function: Lesson 4
This lesson defines the phrase exponential function. It is 4 of 5 in the series titled "Exponential Function."
Sophia Learning
Sophia: Exponential Function: Lesson 5
This lesson defines the phrase exponential function. It is 5 of 5 in the series titled "Exponential Function."
Tech Target
What Is: Exponential Function
A good site explaining the exponential function. The site has links to related topics
University of Vienna (Austria)
Math Online: Functions
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Math Planet
Math Planet: Algebra 1: Exponential Growth Functions
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...
Analyze Math
Analyze Math: Solve Exponential and Logarithmic Equations
The tutorial investigates how to solve exponential and logarithmic equations. The activity includes examples with detailed solutions.
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.
Math Medics
S.o.s. Math: Exponential and Logarithmic Functions / Population
A set of examples and exercises that cover how to solve population problems by using exponents and logarithms.
Sophia Learning
Sophia: Comparing Linear, Quadratic, and Exponential Functions
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...
Interactive Mathematics
Interactive Mathematics: Derivatives of Exponential Functions
The formulas for determining the derivatives of exponential functions are presented in this lesson, along with several examples and exercises. The solutions are hidden to allow students to practice the concept without help.
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 Basic Exponential Functions
Find features of exponential functions of the basic form f(x)=a*r^x given their formula. Features in question are the initial value, the common ratio, and output-values that correspond to various input-values. Students receive immediate...
Math Is Fun
Math Is Fun: Working With Exponents and Logarithms
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...
PBS
Pbs: Comparing Exponential, Quadratic, and Linear Functions
Analyze the numerical and graphical representations of functions. This interactive exercise focuses comparing linear, quadratic, and exponential functions and their graphical representations after completing a table to calculate ordered...
Concord Consortium
Concord Consortium: Graphing Exponential Equations
Learn about exponential functions by graphing various equations representing exponential growth and decay. Graph these functions by connecting ordered pairs on x-y axes.
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