Texas Instruments
Texas Instruments: Chill Out: How Hot Objects Cool
Students use a temperature probe to collect data as the warmed probe cools. Students investigate Newton's law of cooling and model cooling data with an exponential function. They fit the data to a mathematical model after analysis.
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]
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.
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,...
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...
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Rumors
In this task, students investigate the exponential growth of a rumor about a celebrity. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Rebounds
The purpose of this task is to introduce learners 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....
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...
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 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....
Illustrative Mathematics
Illustrative Mathematics: F Le Bacteria Populations
This task provides a real-world context for interpreting and solving exponential equations. Students are asked to examine the equations representing the growth of three colonies of the bacterium that causes pneumonia, each colony being...
University College London
University College London: Hyperbolic and Trigonometric Functions
This site has information relating the hyperbolic and trigonometric functions.
Texas Instruments
Texas Instruments: The Shrinking Dollar
In this activity, students examine the long term effects of inflation. They compute the increase in cost price due to compounding of inflation rates every year. They recognize that this increase in cost price is exponential.
Alabama Learning Exchange
Alex: Human Population Growth Web Quest
This is a technology-based lesson plan that integrates science and math to investigate the dynamics of population growth.
Texas Instruments
Texas Instruments: Number Power!
In this activity, students explore patterns and rules in dealing with exponents and logarithms. They evaluate expressions with exponents and logarithms and display them in various notations. They will use their calculators to discover...
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.
Texas A&M University
The Rule of 72 for Compound Interest
This rule from Texas A&M will help you with your financial planning.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Exponential Models
Seven problems present practice working with exponential models. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...
Department of Defense
Do Dea: Compound Interest
The compound interest formula that banks use when the interest is compounded continually is an exponential function. Review the regular formula for compound interest on this site. Great review for the AP Calculus test!
University of Saskatchewan (Canada)
University of Saskatchewan: Emr: Exercises in Math Readiness
The University of Saskatchewan offers this resource for the review of mathematical concepts that students need to enter university level math courses. Topics include mental arithmetic, algebra, geometry, trigonometry, exponential and...
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Khan Academy
Khan: Lsn 8: Interpreting Relationships in Scatterplots/graphs/tables/equations
This lesson focuses on Interpreting and analyzing linear, quadratic, and exponential models and graphs. Students will use best fit lines to interpret contexts, distinguish whether contexts are linear or exponential functions, use the...