STANFORD, Calif. (AP) -- Ty Montgomery matched a Stanford school record with five touchdowns, scoring his first four on as many touches to start the game, and the 10th-ranked Cardinal beat Bay Area rival California 63-13 on Saturday while also clinching a spot in the Pac-12 championship game with Oregon's loss.
Kevin Hogan threw four of his five scoring passes to Montgomery, including a 9-yard completion just before halftime that put Stanford ahead 42-13. The Cardinal (9-2, 7-2 Pac-12) bounced back from last week's loss at USC but needed No. 5 Oregon to lose one of its final two games to earn a spot in the conference championship. The Ducks lost 42-16 in Tucson, and Stanford's fans led chants of ''Arizona! Arizona!''
Hogan set career highs with 329 yards passing and the five TD passes.
Cal (1-11, 0-9) lost its 10th straight to finish new coach Sonny Dykes' disappointing debut year.
Michael Rector caught a 45-yard touchdown pass midway through the second quarter for Stanford, while Tyler Gaffney ran for a 58-yard score out of the wildcat formation in the third for a 49-13 lead - giving Stanford its season high for points and most ever in a Big Game. The Cardinal were 31 1/2-point favorites.
Other than that, it was Montgomery's day. He tied Darrin Nelson's single-game touchdowns record set at Oregon State in 1981.
He ran for a 31-yard touchdown and caught a 50-yard touchdown pass both in the opening 3 1/2 minutes, then added a 12-yard TD reception with 6:58 to go in the first quarter. On the second play of the second quarter, he made a 72-yard catch and run from Hogan, who was credited with a career-long completion on the play.
Montgomery scored touchdowns on his first three catches of the day, and he had five receptions for 160 yards by halftime.
He had his first two touchdowns on only three offensive plays run by the Cardinal to start the game.
Hogan completed his first five passes and finished 17 of 26 in Stanford's 15th straight home victory and fourth in a row in this rivalry. Backup Evan Crower took over late in the third and threw a 14-yard touchdown pass to Francis Owusu.
A week after a 20-17 loss at USC, Stanford had to beat Cal while hoping Oregon would lose one of its final two games so the Cardinal could represent the Pac-12 North again in the conference championship game. Stanford beat Oregon, giving the Cardinal the tiebreaker with both teams having two conference losses.
Stanford, which hosts Notre Dame next weekend to conclude the regular season, finished with 603 total yards and 417 yards passing.
Cal quarterback Jared Goff left the game with 7:06 remaining in the first half with a shoulder injury after a hard hit by linebacker Shayne Skov. Goff landed awkwardly and stayed down for a few minutes, then walked off on his own accompanied by trainers and headed for the locker room.
Zach Kline played the rest of the way in Goff's absence, going 8 of 14 for 115 yards.
Goff went 10 for 19 for 194 yards and a touchdown before leaving, giving the freshman 3,508 yards passing to break Pat Barnes' previous single-season record of 3,499 set in 1996.
Brendan Bigelow broke free for a 25-yard gain on Cal's initial series to help set up Goff's 15-yard touchdown pass to Maurice Harris. Harris later made a career-best 35-yard catch, while Richard Rodgers had five receptions for 125 yards.
View gallery."Montgomery's 5 scores pace Stanford's 63-13 win
Stanford wide receiver Ty Montgomery (7) runs for a touchdown against California during the first ha …
The 116th edition of the Big Game drew a sellout crowd of 50,424 on a gorgeous fall day on The Farm. The field was chipped up and slippery after heavy rain earlier in the week.
Montgomery had no problems.
He ran untouched for a 31-yard touchdown off a reverse as Stanford jumped ahead one minute into the game after Lee Ward's 30-yard return on the opening kickoff put the Cardinal in good field position.
Stanford outside linebacker Trent Murphy made his nation-leading 13th sack. The Cardinal also forced at least one turnover for the 36th straight game, as Blake Martinez made his first career interception midway through the fourth quarter.
A moment of silence was held before the national anthem for those affected by Typhoon Haiyan in the Philippines