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Modeling Scenario

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1-094-SteepingTea-ModelingScenario

Author(s): Jesica Bauer1, Eric Sullivan, Erica Wiens1

Carroll College, Helena MT USA

Keywords: concentration Surface Area color Newton's Law of Cooling tea sugar

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Abstract

Resource Image We provide photographs of steeping process for a tea steeped in hot water. Students build a differential equation model for the steeping process and do parameter estimation using the color of our tea as a way to measure relative concentration.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

Students then build a differential equation model for the dissolution of a sugar cube in the tea and use data to estimate parameters.

Finally, students use Newton's law of cooling to estimate the temperature of our tea after it has steeped for a certain amount of time and after the sugar has been completely dissolved.

Article Files

Authors

Author(s): Jesica Bauer1, Eric Sullivan, Erica Wiens1

Carroll College, Helena MT USA

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