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
Students 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, students...
Texas Instruments
Texas Instruments: Using Derive
In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice I
In this task, students learn about exponential decay by examining the amount of Carbon-14 left in a preserved plant with the passage of time after the plant has died. This provides a simple introduction to Carbon-14 dating but the actual...
William Mueller
William Mueller: Power Function
In this algebraic tutorial, learn the difference between a power function and an exponetial function.
Texas Instruments
Texas Instruments: The Calcumites Are Coming! Ti 83
Students model the growth of a population and compare ideal growth with a population whose growth is limited. They use technology to find exponential and logistic regression equations and use them to plot models.
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.
Math Open Reference
Math Open Reference: Derivative Function
A complete reference guide to derivative functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
CK-12 Foundation
Ck 12: Analysis: Logarithmic Functions
[Free Registration/Login may be required to access all resource tools.] Evaluating logarithmic functions by comparing to exponential functions and rewriting to solve.
Paul Dawkins
Paul's Online Notes: Algebra: Applications
Provides examples of applications of exponential functions involving compound interest and exponential growth and decay, and an example of an application of a logarithm involving earthquake intensity.
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.
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