Robert Lewandowski carved his name in history with a double for Bayern Munich, while Schalke drew level with Dortmund.
Bayern Munich opened up a three-point lead at the top of the Bundesliga by beating Darmstadt 3-0.
Thomas Muller struck twice as Bayern Munich beat Bayer Leverkusen 3-0 in the Bundesliga on Saturday, as Eintracht Frankfurt thrashed Stuttgart 4-1.
Bayern Munich got their quest for a fourth straight Bundesliga title off to a great start with a 5-0 win over Hamburg.
Hamburg have reached an agreement for the transfer of striker Sven Schipplock from Hoffenheim.
Bayer Leverkusen have completed the signing of Germany U19 defender Jonathan Tah from Bundesliga rivals Hamburg.