Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine an Exponential Function?
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.
Illustrative Mathematics
Illustrative Mathematics: F Le a Valuable Quarter
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...
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 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 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, a Rei Population and Food Supply
For 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...
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
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.