After finishing one block as the directions instruct, I figured that there were also some other ways to put this block together, while also avoiding set in seams. Here is my take on how to do this:
Start with the original directions and sew your 3.5 by 2 inch and 5 by 2 inch strips onto your starting 3.5 inch square.
Instead of piecing your "box" strips with triangles, I used the stitch and flip method to add the background triangles to the strips. These strips should be 5 by 2 inches and 6.5 by 2 inches.
Your finished quarter will look like this:
And finish like this:
Have you figured out easier ways to make things?