What did the Algonquian tribe follow?

There is no such thing as the Algonquian tribe. The term Algonquian applies to a very large family of distantly-related languages spoken by tribes across the entire North American continent. So, for example, the Arapaho (who spoke an Algonquian language) lived on the Great Plains and lived entirely different lifestyles to the Powhatan (another Algonquian-speaking group) who lived in the tidewater areas of Virginia.