The Inside Government badge is part of the “XXX” badge set introduced in 2011.
For the badges released in 2011, scouts must complete all of the activities listed to earn the badge.
This might be more interesting to the girls if your local community is discussing an issue that directly affects them -- relocating or renovating a local school/park/etc., needing to add sidewalks or other safety features in the neighborhood, etc.
Activity #1: Decide what being an active citizen means to youEdit
Activity #2: Go inside governmentEdit
Activity #3: Look into lawsEdit