Here is a just a small sampling of museums to visit:

http://www.artsmia.org/ Minneapolis Institute of Arts

http://www.mcm.org/ Minnesota Children's Museum

http://www.mnhs.org/historycenter/ Minnesota History Center

http://www.mtmuseum.org/ Minnesota Transportation Museum

http://www.smm.org/ Science Museum of Minnesota

Of course, there are TONS more-
For lists there is http://en.wikipedia.org/wiki/List_of_museums_in_Minnesota
and to search by town http://www.museumsusa.org/museums/?k...ctoryID:200454

Lots- if not most- museums offer wonderful classes and some even have classes that cater specifically to homeschoolers!
Please share your favorite museum!