# Math Modeling

Math Modeling is taught by Ms. Burns. We learn to develop mathematical models that
address real world problems. Most assignments are either group
projects or homework problems. The focus is to teach students how to
approach problems that they have not seen before and seeing
connections between different types of problems. We start the year
with analyzing a card trick with math and uncover a surprisingly
large amount of math related to it.

## Epsilon Project

The Epsilon Project was the first math modeling problem we had
to present. The Epsilon School has recently had renovations,
dramatically increasing the student population. They are wondering
which subjects they should hire new teachers for. We used previous
enrollment data to determine what subjects would be most likely to
need more teachers for next year.

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## HiMCM

The HiMCM (High School Mathematical Contest in Modeling) is
done over the course of two days at MAMS. We were asked to analyze
how the population of a honey bee population will change over time
and how many flowers a honey bee hive can support. We created a
simulation in Python that considered various factors such as seasons,
hive splitting, and a bee's stage of life. It provided how many bees
a colony would produce. We also started to consider how nectar
consumption would allow a hive to continue surviving. At the end, we
developed some estimates for how many hives would be needed to
support crops based on the density of flowers.

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