Visit School Website. The Archdiocese of Chicago Catholic schools serve more than 40,000 students in 150 elementary and high schools in Cook and Lake counties. It is one of the largest private school systems in the United States. Its schools have received 96 Blue Ribbon awards from the U.S. Department of Education over the past 10 years. The elementary school principal is hired by and is accountable to the pastor or the Jurisic person for the ope...