Resources

Modeling Scenario

1-110-TidePoolSnails-ModelingScenario

Author(s): Lisa Driskell, Audrey Malagon1

Virginia Wesleyan College, Norfolk VA USA

Keywords: data snails temperature Newton's Law of Cooling cooling Newton warming tital pool tide pool

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Abstract

Resource Image Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the sun heats the water. Students model the tide pool's water.

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Description

The solution to the water temperature model is then used to model the internal temperature of a snail caught in the tide pool.

Students are asked to produce and solve a linear first-order, non-homogeneous, ordinary, differential equation for the temperature inside a snail's shell using Newton's Law of Cooling (or heating here).

This project takes students through the entire modeling process, from building a model to analyzing and then creating alternate water temperature models.

This classroom modeling scenario can be expanded to have students collect their own water temperature data in a lab setting or to further explore the alternate models.

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Authors

Author(s): Lisa Driskell, Audrey Malagon1

Virginia Wesleyan College, Norfolk VA USA

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