I think the more you know about the child and the family that are babysitting, the better you'll be able to plan your day. You should always have some sort of entertainment whether its arts and crafts, board games, and a movie that you could watch with the child.
These measures will make sure that the child is having fun will be less likely to misbehave. Children that misbehave generally are bored and this is why they act up. You can also go in the backyard and play games with them like tag, kickball or jump rope. This will help the child sleep well because they would have exerted some physical energy and will be more relaxed as a result.