Nottingham City Council said the structure, if approved, would take effect from August 2013.
The council said 50 schools were affected by the strike action on 29 March, 18 of which had to close.
The NUT’s general secretary Christine Blower said: "Having different holiday times will impact on the ability of families to meet up with friends and relatives in other parts of the country.
"What does need to be reformed is out-of-school youth provision which has suffered dreadfully in recent years."
The union also claimed that despite an ongoing consultation, the council had already decided to move to a five-term year.
However, Nottingham children’s services portfolio holder councillor David Mellen disputed this.
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