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...
Texas Instruments
Texas Instruments: Compound Interest: Show Me the Money
This is an activity at the conclusion of the exponential relationship unit where students have experience with equations in the form y=a*b^x. Students use the random integer function on theTI-83 Plus to generate a rate of return for the...
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.
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...
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 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.
William Mueller
William Mueller: Power Function
In this algebraic tutorial, learn the difference between a power function and an exponetial function.
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...
PBS
Wnet: Thirteen: Ed Online: Growing, Growing, Graphing!
Students explore the growth population of China and use graphs and equations to display data.
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 1
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This variant...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 2
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This second...
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...
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.
Windstream
Ojk's Precalculus Study Page: Rational Exponents
A basic introduction to rational exponents, beginning with the definition and working up to an application. Includes several examples.
Alabama Learning Exchange
Alex: Rags to Riches or Riches to Rags?
In this lesson learners will apply the interest formulas to make the best investment decision for our fictional character Algebrea Calculique. The students will be provided with a story explaining the situation that Algebrea faces and...
Other
Edinburgh: Natural Logarithm Function
Good detailed site explaining the natural logarithm. The site has links to related topics.
Math Open Reference
Math Open Reference: Function Composition the Chain Rule
Learn about the chain rule with this helpful reference tool. Provides a detailed definition, examples, and an animation that enhances further explanation. Includes links to related topics.
University of California
University of California: Integrals and the Natural Log
This site explains the natural log and its integral. Includes examples.
Other
Brown Math: It's the Law Too the Laws of Logarithms
The laws of logarithms (which flow directly out of the laws of exponents) are discussed here. Combining logs with the same base and the Change of Base Formula are also explained in straightforward language for the reader.
PBS
Pbs Lesson: Calculate When the Oil Industry Will Dry Up
Students will use the internet to read graphs and solve real world problems regarding the amount of time it will take for the oil to be used up, an exponential function exploration.
Texas Instruments
Texas Instruments: Getting Started With the Ti Navigator: Exponential Models
This lesson introduces students' to Activity Center and represents a suggested TI-Navigator classroom procedure for students to explore an exponential model for the rebound heights of a playground ball.
Texas Instruments
Texas Instruments: Solve Exponential Equation
This StudyCards set begins with "what is an equation?" and continues to the meaning of solving an equation. The function approach is used to solve the equations.