This lovely block is by Joanna Figueroa of Fig Tree Quilts, and isn't it a lovely star block.
You can see that I have given some thought to how I wanted to run the fine white stripe on the red fabric.
To make the stripes run all in the same direction I cut the red squares and then pinned them to the two ¼" triangles (white and green) to check which diagonal I should cut. Just take your time with each one and once you have made one DCE section lay it on the table and then proceed to the next DCE section. This way you can constantly check that your stripes are all running the same way.
Of course, there are no rules about this. Blocks with stripes going in all directions are perfectly gorgeous and also look great. I just like the challenge of seeing what I can do to add that little extra to a block. This is also useful if you are using a directional print, like a toile. Toile fabrics have rural farm scenes and often feature animals and people. Depending on the size of the print and the shape you have cut, it might be worth considering directionality when you are piecing with fabrics like these.
I was also careful when I cut out the red gingham A squares. I tried to cut on the line, just so they weren't too wonky. However, wonky checks do add a nice primitive and rustic charm to your piecing, so it's horses for courses really. If you like it, that's all that matters.
Spray starch was used prior to cutting. it really helps when you are sewing with small pieces like these.