Officials told NBC Bay Area they will expand to more schools each week through July 10.
Now, that children 12 and older are eligible, officials are hoping to make it as easy as possible for them to get shots.
"They have the potential to spread it still, and we know that the vaccine helps prevent the spread of the COVID virus,” Dr. Ted O'Connell, Kaiser Permanente Chief of Family and Community Medicine.
Across the Bay Area, other districts are doing the same. Students got their shots on campus at Palo Alto High School Sunday during a weekend clinic and in Berkeley, 13-year-old Chahd Othmane got her shot as soon as she was eligible.