There are a bunch of different methods for QAUG, some use sashing, some don't. I've tried 4 different techniques and found one I really like. You can quilt individual blocks, or do sections, so depending on your square sizes, you could piece a giant 9 patch with the 1 and four patches and quilt that section then do the next. 2 to 3 feet square is a size I like to fmq on my domestic machine, so I like the section approach.