The City of McKinney Swim School offers a program suited for all ages. We are committed to providing swim lessons that build confidence and teach water safety .McKinney ISD Natatorium The McKinney ISD Natatorium will be closed this site for McKinney High, McKinney North and McKinney Boyd swimming and diving teams. The Natatorium is located on the McKinney High School campus at .SWIM LESSONS FOR January thru August . ALL CLASSES ARE HELD AT THE MISD NATATORIUM. AT MCKINNEY HIGH SCHOOL. W..