Some people like to reduce their pieces to the lowest common denominator, I prefer to save myself the time and matching of all the small pieces and try and make as few subunits as possible.
So, the corner squares in the blocks -- well those are squares and there aren't many options! The next square+half square I would cut as a rectangle of the print. Because of my vision issues I don't read rulers as well as I once did and so I would use the same size square as the corner and do the technique where you draw a line diagonally across and sew on the line, then trim off the excess. Same thing with the white in the middle, I'd start with a large square of white and sew on the blue around the three sides.