The Democrat's proposed budget would restore the estimated $1 billion in education cuts made in the previous administration, and all school districts will receive more money.
Hall, a former national superintendent of the year, was widely lauded for strong gains in Atlanta until a cheating scandal tarnished that legacy.
The district faced more than $1 billion in federal and state cuts if it did not offer the test districtwide, and the state of Illinois threatened to pull its designation as a district.
The move comes nearly two weeks after the commission approved five of 39 applications for new charter schools. The governor wanted all the applications denied.
In Sheff v. O'Neill, which was filed in 1989, the Connecticut Supreme Court ruled that the state must take action to integrate schools and reduce racial isolation.
A probe revealed that hundreds of students received credit for courses they hadn't taken or repeatedly took the same course despite passing each time.
The initiative will join a growing number of specialized training programs that aim to help prepare school leaders to manage the complex demands of running school systems.
Philip Lanoue has led the 13,000-student Clarke County school system since 2009.
Anderson and the state signed a three-year contract last year, but it required both parties to agree to an extension each year.
Cook County Commissioner Jesus "Chuy" Garcia, who was backed by the Chicago Teachers Union and ran a campaign largely focused on education, garnered nearly 34 percent of the vote.