I believe they offered animal sacrifices every year in the temple.
I've often wondered what the modern belief is. The Jews don't have a temple in Israel (right now), and they don't make sacrifices anymore, so how are they redeemed?
The muslims now have that big ugly dome thing where they worship one of those rocks on the site of where the Jewish temple used to be. I've heard that there are certain factions of Ultra-orthodox Jews who want to rebuild the temple there. I've always felt that if the tension got too high in the Mid-East, that dome will disappear with a loud BOOM...
Through observance of the Commandments, repentance and prayer.