I can't remember if they showed more of the house than Ricky's room, the living room, and the library/study. It has been a while since I saw Silver Spoons (thankfully Nick at Nite aired those few episodes), and I forgot what rooms they showed (I thought that they showed the kitchen?). If you can remember any extra rooms, can you please reply back and explain what the room looks like.

The majority of the series took place in the living room, library, and Rick's bedroom. They really didn't use anything else until the episode in which Edward and Kate got married when they showed her in one of the upstairs bedrooms getting dressed. After the episode in which Kate redecorated the house, the kitchen became a replacement room as you never actually saw the library again. During the episode when Kate's friend Jackie comes to visit they do use another upstairs bedroom.

Thanks for the answer!