Rodgers threw two touchdown passes to Jordy Nelson, and one each to Brandon Bostick, Andrew Quarless, Eddie Lacy and Randall Cobb to lead the Green Bay Packers to a 42-0 halftime lead at Lambeau Field.
Backup Matt Flynn took over with 7:44 left in the third quarter and the Packers leading 45-7.
In one half, Rodgers tied the franchise record for touchdowns in a game. He had a share of that record already along with Flynn. Rodgers previously threw six touchdown passes on Oct. 14, 2012, against the Houston Texans, while Flynn did it in the 2011 regular-season finale against the Detroit Lions.
Rodgers completed 18 of 24 first-half passes for 315 yards and led the Packers to the most points ever allowed by the Bears in a half.
It is the second consecutive outing in which the Bears have set a franchise record for points allowed in a half. They surrendered 38 points in the first half against the New England Patriots on Oct. 26, which broke the previous mark of 34 points allowed, set on Oct. 4, 1958, at Baltimore.
Information from ESPN.com's Michael C. Wright was used in this report.