I was in the first new member class of a local sorority, and we definitely had enough to do to fill several weeks. Now, this was back in the day before risk management was such a big deal, but here were some of the requirements of the class.
Learn history and Greek alphabet
Meet one on one with each active to get to know one another
Plan a community service project to do with the actives
Conduct a fundraiser
Plan and host a new member/active party
Plan a mixer with another group
Play a practical joke on the actives* probably wouldn't fly under current hazing doctrine
Participate in daily study hours* as required by college
Meet with big sister once a week
Since your group is so young and you have only a few members, I would suggest you plan your program so that it isn't "us" and "them" but make it a point to have team builder activities that involve everyone, current and new members alike. At this stage, you should be trying to build a cohesive membership through your new member programming.
You might also consider focusing on your founding values--one each week. So if sisterhood is a value, that week you will spend time with one another, visit another sorority chapter at another school, learn about Robert's Rules of Order together etc. If your values are philanthropy, then that week have a speaker from an appropriate organization do a session about the cause, hold a fundraiser etc.
Good luck!
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