Monroe High School (Michigan)  Monroe High School is a public high school, serving students in grades 9–12 as a part of Monroe Public Schools. The demographic breakdown of the 1,841 students enrolled in 2014-2015 was:  47.1% of the students were eligible for free or reduced price lunch. The Monroe Trojans compete in the Southeastern Conference. The school colors are red and white. The following MHSAA sanctioned sports are offered: