Murder capital of the US, but on my last trip there I did the following
  Lincoln & Washington Memorials & Reflecting Pool, Sunny afternoon's perfect for a visit. 
 The Wall (Vietnam Veteran Memorial) - Best at night, it gives it an even more austere air, if it's just been raining the ambience is spooky 
 Arlington Cemetary & JFK's eternal flame -  may be closed on certain dates though, and is then restricted to relatives of people buried there. 
 The Smithsonian National Air and Space Museum - 
http://www.nasm.si.edu/ (There's loads of Smitsonian sites in DC  
http://www.si.edu/museums/ ) 
 Shopping at Tysons Corner 
 Couple of dinners in Georgetown.
 Do Georgetown at least one night during the trip. Not necessarily on the weekend.  
 I really liked the place, as long as you get past the fact that it's a town focussed on politics. 
 Can I come too? 
 Jason