Definitely check out English Paper Piecing--diamonds, hexagons, triangles, etc. Have the papers/plastic/cardboard and fabric cut out and put in little ziplocs ready to run. Grandmother's Flower Garden is just one of the many that you can do on the run. Check out these sites:
http://www.paperpieces.com/
http://www.instantpiecing.com/
http://www.cddesigns.com/PaperPiecing/index.html