The Consortium for Mathematics and its Applications (COMAP), hosts an annual mathematical modeling contest for undergraduate students known as the Mathematical Challenge in Modeling (MCM). A list of problems and results can be found here.

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Modeling framework figure and PPT for how to use: A “Rule-of-Five” Framework for Models and Modeling to Unify Mathematicians and Biologists and Improve Student Learning, published here
https://www.tandfonline.com/doi/full/10.1080/10511970.2018.1489318

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Three secondary teachers and a mathematics education researcher planned two lessons and revised them through lesson study. The teachers adapted the State Apportionment Task from the Mathematical Modeling Handbook (Sanfratello, 2012).

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This classroom modeling project targets the competency of proposing functions that meet certain properties and features, which is part of many modeling processes. It is suitable for high school or undergraduate students. Prerequisite: Algebra.

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This classroom modeling project applies mathematical techniques to solve a problem related to drug dosage patterns. Suitable for high school or undergraduate students. Prerequisite: Calculus I.