Rodchenko was both photographer and designer, and it's a really fantastic exhibition, with over 200 of his prints and photomontages, many of them co-created with his wife Varvara Stepanova.
Rodchenko was one of the first photographers to take advantage of the new light-weight Leica, and his compositions show an absolute passion for trying out new angles and viewpoints, freeing the camera from its previous permanent residence just above the photographer's bellybutton.
His work journeys through various different styles, from very formal images that play with shape and pattern, through photomontage pieces that show a bravura graphic style, to later photojournalistic work.
There's a great short film at the start of the show from the BBC's Genius of Photography series (unfortunately not available on the iPlayer), with Martin Parr taking a look at the work Rodchenko did on the wonderful USSR in Construction magazine.
The show runs till 27 April, and is well worth a look. (You'll get to see the Laughing in a Foreign Language show that's running there at the same time, though it left us a bit cold.)