Ask the group to draw a variety of squares using paper with dots, to calculate the area of each and to keep a record.
Ask the group to organise their record in a way they think useful, and invite conjecture about the situation.
Ask the group to look at the way they decided to organise their results and to decide what additional results might usefully be acquired next.
Ask members of the group to share their thoughts.
Once the proposed additional work has been done again invite conjecture about the situation: any comment, or things to try.
Suggest to the students that they look at the remainder when the area values are divided by 4, leave some thinking time before again inviting conjecture.