Math Is Fun
Math Is Fun: Compound Interest
Explains, with examples, what compound interest is and how to calculate it using a formula. Also shows how to work backwards to calculate the present value of an investment, how compound interest is calculated for different compounding...
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating, Variation 2
In this task on exponential decay, students calculate what the amount of Carbon 14 left in a preserved plant will be as time passes and when one microgram will be all that is left. Aligns with F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le Illegal Fish
In this task, students learn about exponential functions when they investigate the exponential growth of an invasive fish population. Aligns with F-LE.B.5 and F-LE.A.1.c.
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...
Illustrative Mathematics
Illustrative Mathematics: F Le Identifying Functions
In this task, young scholars are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Rebounds
The purpose of this task is to introduce students 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....
Illustrative Mathematics
Illustrative Mathematics: F Le Algae Blooms
This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Linear vs. Exponential Growth: From Data
Given a table with values of two quantities over time, determine whether the quantities grow linearly or exponentially. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Khan Academy
Khan Academy: Algebra I: Sequences Word Problems
Given a verbal description of a real-world relationship, determine the sequence that models that relationship. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.