For math, taught by Mr. Regele, we work on math modeling. Math modeling is a way to use math
and math concepts in order to model solutions to real-world problems. This class is designed
to foster collaboration and for students to be able to talk out problems in order to come up
with the solution in a variety of manners. When it comes to the math that we actually do, it
tends to vary. One of the biggest things is the Exeter math problem sets which are booklets of
problems that cover topics ranging from distance formulas to circles. We are assigned problems
from these books at the end of class and start the next day by talking about them with the other
kids at our table. Through this, we are able to try problems on our own, get help if we need it,
and see other possible ways to get to the solution.

### himcm paper

The first piece I have here for math is my groupâ€™s write-up for the HiMCM, aka the High School
Mathematical Contest in Modeling. The HiMCM is a competition that Mass Academy competes in every
year. Here, it is also called the 36-hour math competition. Fun fact, this math competition is
now 2 weeks long, though we still have 36 hours to do it. This year, the question was about solar
panel energy usage for a home somewhere in rural USA. My group broke our solution model into two
parts, one being a survey which the user would fill out in order to get an estimate of their energy
sources and the other being a code which took the energy usage of the user and their climate zone
and gave them the best possible set of batteries along with their cost.

### mathematica assignment

This Mathematica assignment shows how to find a median-median line. A median-median line is a way
to fit a line to a set of data and can be used as an alternative to the more common least-squares
line. In order to find a median-median line, you must break the data set into three separate parts,
find the median of each part, and draw two lines (one connecting the first and third median and the
other being a parallel line that goes through the middle point). With these two lines, you take the
y-intercepts and find their averages, adding the y-intercept of the line which connects to the first
and last points twice in order to account for the two points being on the line. This average is your
new y-intercept. With the slope of the earlier lines and the new y-intercept, you now have your
median-median line.