Interactive Mathematics
Interactive Mathematics: Graphs of Exponentials & Logarithms
Interactive graphs of base 10 exponential and logarithmic functions are demonstrated and applied to real-world problems.
Sophia Learning
Sophia: Algebra I: Exponential Functions in the Real World: Lesson 3
This lesson will provide real world examples that involve graphing exponential functions. It is 3 of 5 in the series titled "Exponential Functions in the Real World."
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...
Math Medics
S.o.s. Math: Exponential Functions
S.O.S. Math provides overviews, that include graphs, of the exponential function and the logarithmic function.
![Arlington Public Schools: Graphing Exponential Functions [Pdf] Unit Plan](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Arlington Public Schools: Graphing Exponential Functions [Pdf] Unit Plan")
Other
Arlington Public Schools: Graphing Exponential Functions [Pdf]
Students are given examples of graphing exponential functions as well as the difference between exponential growth versus exponential decay graphs.
Illustrative Mathematics
Illustrative Mathematics: F if Graphs of Power Functions
In this task, students are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.
Oregon State University
Calculus Quest: Power Functions
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...
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms Ii
The purpose of this task is to help learners 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...
Mathematics Archives
Math Archives: Exponential Functions
This site explores the difference between two types of graphs, one of which is exponential. Requires LiveMath plug in.
Texas Instruments
Texas Instruments: Numb3 Rs: Exponential Growth
Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of exponential growth, especially in comparison to linear growth. This is done in the context of weekly allowances, in which one group earns a...
CK-12 Foundation
Ck 12: Analysis: Basic Exponential Functions
[Free Registration/Login may be required to access all resource tools.] Evaluating and solving basic exponential functions, introduction to ''e''.
CK-12 Foundation
Ck 12: Analysis: Exponential Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students will be identifying, applying, and solving exponential models manually and with technology. Students examine guided notes, review guided...
Other
Wpi: Exponential Decay and Effective Medicine Dosage
This site is an example of the use of exponential decay. The example involves the effectiveness of a medical dosage over time.
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...
Paul Dawkins
Paul's Online Notes: Common Graphs Practice Problems
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Texas Instruments
Texas Instruments: From Tables to Graphs
Students learn how to generate a table of values showing the accumulated amounts of a sum of money compounded over n periods. They graph these values and learn how to determine the accumulated amount corresponding to any given period.
Purple Math
Purplemath: Exponential Functions: Introduction
Purplemath offers tables and graphs of various exponential functions for an exploration of how exponential functions behave from the real number domain. Compound interest problems are examined and the natural exponential is discussed...
Math Notes and Math Tests
Pre Calculus Notes: Exponential Functions and Their Graphs [Pdf]
Students explore exponential functions and their graphs. Exponential decay, the natural exponential function, and compound interest are examined. Proofs, explanations, and examples are included.
Texas Instruments
Texas Instruments: Exponential Functions: Zero and Negative Exponents
Students will solve exponential functions with zero and negative exponents. The problems involve the use of reciprocals and graphs.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Functions
Young scholars 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...
University of South Florida
Fcat: Get a Half Life!: Teacher Notes
Students use M&M's and a graphing calculator to collect and graph data. This activity helps them to understand exponential functions and the concept of half-life.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
William Mueller
William Mueller: Families of Functions
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
Concord Consortium
Concord Consortium: Population Curve: Significance of Breakpoints
Learn about three models of population growth: linear, exponential, and logistic. Then conduct a population experiment to see how populations can work in the real world, and see how linear graphs can help simplify complicated ones.