Team building starts with getting the team members acquainted with one another. One way to do this is to play games in which team members have to remember the name and a fact about another team member. For example, you can organize a trivia game where you ask questions like "Which brother served the most beer in frosh week?" Another way to familiarize team members with one another is to hold regular fraternity parties and outings, such as toga parties and school athletic trips. This will allow team members to spend time together, which will inevitably get team members familiar with one another.
A team works best when all its members are energized and focused on a goal. One way to energize your fraternity/sorority team members is to get them to exercise together. Installing weights in the fraternity/sorority house encourages the house members to work out with one another in a comfortable environment. Also set a goal for the team with which individual members can easily identify. For example, "Becoming the No. 1 fraternity intramural soccer team on campus" may energize members to work hard, because the goal is ambitious and admirable.
Initiatives are activities that challenge the team to work together as a group (or in subgroups) toward a goal. They can be anything from group raffles to practice games. Choose initiatives that your fraternity/sorority team members care about. If your fraternity is full of sports fans, you can challenge the team to come up with fantasy football picks to play against another fraternity's picks. Choose goals that will take a long time to achieve, because this will allow the team members to spend a lot of time working together.
Fraternities and sororities have some characteristics that make them excellent talent pools for recruiting teams. First, many fraternity/sorority members already know each other. Second, all fraternity/sorority members chose to get involved in Greek life, which makes them likely to be active, involved students. To get your brothers/sisters motivated and dedicated to the team, help them to think of the team activity as an essential part of their college experience. For example, you can talk about how, if they win the game, years from now they will look back on the win as one of their best college memories.