Illustrative Mathematics: F Le a Saturating Exponential

The context of this task is that a quarter was put into a bank account in 1901 and students are asked to calculate its value in 2013 at two different interest rates. Those amounts are compared to the appreciation rate of a rare and...

In this task, students analyze the sizes of a country's population and of its food supply to determine when and if food shortages will occur. To solve it, they must construct and compare linear and exponential functions and find where...

A biology student is studying bacterial growth. She was surprised to find that the population of the bacteria doubled every hour. Aligns with the F-LE.A and N-RN.A.1 standards.

In this task, students are asked to identify whether changes are linear or exponential. Aligns with F-LE.A.1.

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.

In this task, learners 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, young scholars 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, young scholars 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, learners 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...