Conn. Gen. Stat. § 10-184a
Special education programs or services for children educated in a home or private school.
(b) If any such board of education provides special education programs or services for any child whose parent or guardian has chosen to educate such child in a private school in accordance with the provisions of section 10-184 , such programs or services shall be in compliance with the Individuals with Disabilities Education Act, 20 USC 1400 et seq., as amended from time to time.