Illustrative Mathematics: F Le a Saturating Exponential

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...

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.

For 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.

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.

In this task, students investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.

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....

In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...

In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...

For this task, students analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.

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.