Around three or four.
The hockey team which has scored the most goals in a single game is the Montreal Canadians. They scored sixteen goals against the Quebec Bulldogs in 1920.
The most goals scored in a single hockey game by a player was 7 goals. This record is held by Joe Malone. He scored 7 goals on January 31st 1920 while playing for the Hamilton tigers.
MANY MANY players have scored 3 goals in a game. It's called a "hat trick."
Joe Malone (7)
A hat trick
Alexander Ovechcin(2006 6 goals)
The most goals scored by one team in an NHL game was 16. The Montreal Canadiens defeated the
Texas Hat Trick