Grade Level(s): 9, 10, 11, 12
Keywords: A Saturating Exponential, exponents, temperature, graphs, exponential functions, Newton's law of cooling, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, resource, free, freely available, problems-based learning, student activities, Florida Standards
This task provides an opportunity for students to engage in MP7: having graphed exponential functions before, they should be able to identify the impact of the numbers R and k on the shape of the graph. They will also engage in MP2 as success working on this problem requires relating abstract knowledge about the form of exponential functions with the specific context which this problem models. Also relevant throughout is MP6 as the graph only allows us to approximate the quantities C and R so it is important that students report these quantities accordingly.
This task complements “Newton's Law of Cooling.'' In this case the beverage is colder than room temperature and warms up as time passes while for Newton's law, the beverage is warmer than room temperature and cools as time passes.
Source and Access Information
Name of Author/Source: Hannah Davis
District/Organization of Contributor(s): Leon
Is this Resource freely Available? Yes
Access Privileges: Public
* Please note that examples of resources are not intended as complete curriculum.