Toni Kroos and Andre Schuerrle scored two goals each, while Thomas Mueller and Sami Khedira added the others.
Oscar pulled a late goal back for Brazil.
“Brazil was shocked after the goals, they did not expect that. They did not know what to do,” Loew said. “Their defense was not organized. A little humbleness would not hurt now.”
Klose scored his record goal in the 23rd minute to make it 2-0. The German had his original shot saved, but he followed up as Brazil goalkeeper Julio Cesar spilled the ball, easily scoring from the rebound.
Kroos scored his first goal in the 25th minute, knocking in a cross from Philipp Lahm that bypassed Mueller in the middle. He made it 4-0 a minute later, beating Cesar after a defensive mistake from Fernandinho left the ball on the feet of Khedira.
Mueller scored the first goal, one-timing a corner from Kroos past Cesar in the 11th minute. Khedira made it 5-0 in the 29th, taking a pass from Mesut Ozil and again beating Cesar.
Schuerrle, who came on for Klose in the 58th minute, scored from a cross by Lahm in the 69th, and then knocked a shot off the underside of the crossbar and into the net in the 79th.
In previous World Cup semifinal matches, the largest margin of defeat was five goals, occurring on three occasions.
“The German quality is very, very high,” Scolari said. “This is not normal.”