I think mine is destined for the "redo" pile, with the wonky stars, wonky seams, and chopped off points, but the construction method won't change (except maybe the applique techniques).
Print or trace the block diagram onto foundation paper, number, and cut out the sections shown in the photo below.
Cut a 3 1/2" x 3 1/2" square out of main block fabric.
Cut a 3 1/2" x 3 1/2" square out of background fabric.
Print or trace the center star onto the dull side of freezer paper and cut out the inside of the star. Be sure to mark the seam lines of the center section on the freezer paper for resizing the square when you finish your applique.
Iron the freezer paper to the right side of the main block fabric square.
Place the background fabric square right side up on the table. Place the main fabric square right side up on top of it. Baste securely through all layers.
Trim the square to 3" x 3". Remove the freezer paper.
Sew the four pieced sections to the sides of the center appliqued section.
Mark the position of the other star, as well as the seam lines of the block section, onto a piece of background fabric. Applique.
Cut out the block section. Don't forget to add the seam allowance.
Also out of background fabric, cut
1 strip 7/8" x 6"
1 strip 7/8" x 7"
Referring to the block diagram, sew the shapes to the block.
Sew the 6" strip to the top and the 7"strip to the side of the block and trim to align with the block edges.
Sew the appliqued triangle to the bottom of the block.