Shaw passed for a career-high 356 yards and three touchdowns in South Carolina's win over Tennessee. He also ran for a score.
Jones had a career-high 13 tackles with three sacks, two forced fumbles and two fumble recoveries in Georgia's win over Florida. He had 4.5 tackles for loss.
Ole Miss kicker Bryson Rose is the special teams player of the week His third field goal was a 31-yarder as time expired in a 30-27 win over Arkansas,
Alabama guard Chance Warmack is offensive lineman of the week and Missouri tackle Sheldon Richardson received defensive line honors.
Texas A&M quarterback Johnny Manziel is freshman of the week.