From November thru February, TEAMS publishes a monthly math challenge designed to get students thinking and using the type of math they may encounter during the TEAMS competition.

**Directions: **Copy and districute the math challenge to our students. They may work on the problem individualy or as a team, although each student's answer must be submitted individually by the TEAMS coach.

Correct entries for the month will be placed in a drawing and one name will be randomly drawn on the 2nd Friday of the month following the challenge. The student whose name is drawn will be sent a $25 Visa gift card via their TEAMS coach.

**Rules:**

- Answers must be submitted using the provided answer submission link by 11:59 PM Eastern Standard Time on the last day of the month.
- All parts of the monthly question must be answered correctly. If two questions are posed, both must be answered correctly.
- Answsers submitted must be fore the current month's posted problem.
- High school students (grades 9-12) may only submit answers for the high school challege, middle school students (grades 6-8) may only submit answers for the middle school challege.
- One entry per student per month allowed.

**Middle School Math Challenge - December**

Engineers have been tasked to implement a green roof on a building by planting greenery on a circular rooftop. The entire surface cannot be used: there must be room left for maintenance. The decision is made to use a hexagon shape for the greenery.

The circumference of a 3.00 m diameter circle is 9.42 m. The perimeter of a 4-sided figure (square) enclosed in the circle is 8.49 m.

*Find both the perimeter and the area of a hexagon (6-sided) enclosed in the circle. (An answer for both perimeter and area must be provided.)*

**High School Math Challenge - December**

Engineers have been tasked to implement a green roof on a building by planting greenery on a circular rooftop. The entire surface cannot be used: there must be room left for maintenance. The decision is made to use a hexagon shape for the greenery.

The circumference of a 3.00 m diameter circle is 9.42 m. The perimeter of a 4-sided figure (square) enclosed in the circle is 8.49 m.

*Find the both the perimeter and the area of a hexagon (6-sided) enclosed in the circle. (An answer for both perimeter and area must be provided.)**Using the variable “n” for the number of sides of a figure and “d” for the diameter of the circle within which the figure is enclosed, determine a function to calculate the figure’s perimeter. Use only right angle trig.*

**Middle School Monthly Math Challenge – November**

A household pays 14 cents per kilowatt (kW) hour (hr) for electricity. If the household leaves on a 30 Watts (W) compact fluorescent porch light for 3000 hours a year, what is the associated annual energy cost associated with this decision?

**High School Monthly Math Challenge – November**

A park is applying to be recognized as a dark sky park. Currently, 71% of the park’s 2124 fixtures are dark sky compliant. Over the next five years the park must have 90% of park lighting fixtures dark sky compliant. How many fixtures must the park improve per year to meet their 90% dark sky compliance goal?