Ok, I had to go read the pattern.
Here's how I would do it....
I would press ALL the seams in Strip Set A down towards the Yellow.
Then ALL the seams in Strip Set B up towards the Pink
and continue alternating the pressing directions for each strip set.
That way, when you cut the subunits from the strip sets and start assembling them to make the blocks, you'll have alternating seam allowances, and the seams will, hopefully, nest together nicely (just like when you make a simple 9 patch block).
One other word of advice. When you're sewing the strip sets together, make sure to alternate the direction each time you add a strip.
For example, in strip set one, when you sew strip 1(yellow) and 2 (aqua) together, have the yellow on the bottom.
When you add strip 3(blue), have the blue strip on the bottom.
When you add strip 4 (lime), have the lime strip on top.
When you add strip 5(pink), have the pink on the bottom.
So you'll be sewing top to bottom, bottom to top, top to bottom. This will help to main a straight strip set, without the dreaded bow at one end - usually make the set end up looking like a J.
And really work hard to maintain a consistant 1/4".
Good luck.