After a very long, public battle, the Chicago Teachers Union announced Friday that they have come to an agreement with the mayor’s office and Chicago Public Schools on the length of Chicago’s school day, the Huffington Post reports. Attorney General Lisa Madigan’s office says she met recently with the CTU and city officials, responding to a complaint the union filed with the Illinois Educational Labor Relations Board voicing their concerns about extending the school day without increasing pay for teachers, Fox Chicago reports. The union filed its second complaint this week, alleging an exam that screens applicants was being used to filter out potential hires who would object to extending the school day…