SANA said the rebels in the Zahra neighborhood targeted the school.
The attack came just a couple of days after the Syrian Observatory for Human Rights monitor group said Russian airstrikes on rebel-held areas in the northwestern province of Idlib killed 22 schoolchildren.
Russian Ambassador to the United Nations Vitaly Chirkin described the Idlib deaths as horrible, expressing the hope that "we were not involved."
"It`s the easiest thing for me to say no, but I`m a responsible person, so I need to see what my Ministry of Defense is going to say," Churkin said.
Violence has reached a new high in Syria recently after efforts to revive a cessation of hostilities failed in the war-torn country.
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