[4] CHS opened in 1967 in response to a rapidly rising population that produced too many students for Brandywine High School, then in the Alfred I. duPont District, to handle on its own.

[5][6] Upon opening, it was located on the same campus as Hanby Junior High and taught only ninth and tenth grades.

[7] Construction on CHS' own building was delayed due to a worker strike and did not open until January 1970, an entire semester after the planned date and still without its gym, auditorium, and swimming pool completed.

[5][8][9] During the delay, CHS was forced to leave Hanby and move temporarily into Brandywine High School's building; the two schools taught on a rotating basis: BHS students attended in the morning and CHS students attended in the afternoon.

[10] Concord is a member of Flight B of the Blue Hen Conference in the Delaware Interscholastic Athletic Association (DIAA);[11] the Raiders compete in Class 2A, District 1 for football.