L-9

Print or trace the block diagram onto foundation paper, number, and cut out as below.
(Ignore the little unpieced triangles. We'll rotary cut them.)

Following the numbers, foundation piece each numbered section and trim the seam allowances to 1/4".
Out of background fabric, cut 2 squares 2 3/8" x 2 3/8" and cut each in half on the diagonal.

Sew together the three center sections.

Attach the four side sections.

Finally sew on the four background fabric triangles.

BR-12

The bottom row has been neglected slightly.

I decided to amend the diagram slightly to allow me to piece the bottom section.  If you'd like you're, of course, welcome to applique it.

Print or trace the block diagram onto foundation paper, number and cut out as below.
Important!  You have to mirror this diagram.

Foundation piece the numbered sections and cut the unnumbered sections out of background fabric. All seam allowances should be cut to 1/4".
You'll notice that the narrow top section is not in the photo.  I thought I could "cheat" my way through it but I couldn't.  So cut that out too.

Sew together the three center sections as below.

Attach the non-pieced triangle.

Attach the bottom section.
Finally attach the narrow top section.

G-6

I've been dreading this one for a while.
My advice: Put away your perfectionistic tendencies right now. Go have a look at Jane's block. It's all but perfect.

Ready?

Print or trace the block diagram onto foundation paper, cut out and number as in the photo.
Note that the little "frame" around the mini star is not here. We'll add that in a later step.

Foundation piece all the numbered sections and trim their seam allowances to 1/4".
Cut the two unnumbered triangles out of main block fabric. Remember to add 1/4" seam allowances there as well.

Construct the small star by sewing the sections together.

Out of background fabric, cut four rectangles 1.5" x 3".
Sew these to the center star log-cabin style.
The center section will not end up looking exactly like the block diagram, but this is the easier way. Correct me if I'm wrong, but I think making it look like the diagram would require some set in seams.

Using a light table or window, mark the seam lines of the center section on the fabric and cut out, adding a 1/4" seam allowance.

Sew the two main fabric triangles to the center section.

Attach the top section.

Lastly, add the remaining two sections.
Not bad, I think.

Oh, did I mention that I made two of these today?

I-6

Out of main block fabric, cut 4 squares 2.5" x 2.5"

Assemble them into a four-patch as in the photo.

Print or trace the block diagram onto the dull side of freezer paper and cut out the center shape.
Iron the freezer paper shape onto the right side of the nine-patch, lining up the seam lines.
Cut out, leaving a scant 1/4" seam allowance.

Out of background fabric, cut a square 6" x 6".
Baste the main fabric shape onto the center of the background fabric square. (I forgot to take the photo until I had started the applique.)

Applique, turning the seam allowance under and clipping the corners where needed.  Remove the freezer paper and press.

Using your favorite applique method, applique the main fabric melons into position.  I like "freezer paper inside" for melons.
Trim the block to 5" x 5" and press.

TRC (Top Right Corner)

Here it is!  Our first corner kite.
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.

Foundation piece all the numbered sections and trim the seam allowances to 1/4".

Sew the pieced sections together in pairs to form the four sides of the center square as below.

I used reverse applique for the center star.  I'm not sure this was the best method.  I'm having a really hard time getting the points sharp, but here's how I did it:
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.

Cut out the inside of the star, leaving a small seam allowance for turning under when you applique.
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.

Turning the seam allowance under and clipping where necessary, reverse applique the star.
Trim the square to 3" x 3".  Remove the freezer paper.

Sew the four pieced sections to the sides of the center appliqued section.

I decided to use "freezer paper on top" for the other star to see if the points would turn out any better, but you can, of course, reverse applique this one too.
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.

Cut the remaining shapes out of background fabric.
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.

M-1

This one turned out better than expected. It's hard to keep lines straight on blocks this little.

Print or trace the block diagram onto foundation paper, number, and cut out the center sections as in the photo. (I had some focus issues but I think the numbering is clear-ish.)

Foundation piece each numbered section and trim the seam allowances to 1/4".

Sew the three center sections together.

Sew a triangular section to each of two opposite ends of the center section.

Attach the other two triangles.
Out of background fabric, cut:
1 strip 1" x 3 1/4"
2 strips 1" x 3 3/4"
1 strip 1" x 4 1/4"

Sew these strips to the center block section log-cabin style. Be sure to refer to the block diagram for the sequence.

Out of main block fabric, cut:
1 strip 7/8" x 4 1/4"
2 strips 7/8" x 4 5/8"
1 strip 7/8" x 5"

Sew these strips to the block log-cabin style. Be sure to refer to the block diagram for the sequence.

BR-2

Simple foundation piecing.

Print or trace the block diagram onto foundation paper, number, and cut out as in the photo.
Remember to change the block size to 5"x 8" if you're printing.
This block also has to be mirrored if you want the little top piece to point the right way.

Foundation piece all sections and trim seam allowances to 1/4".

Sew together the two bottom block sections.

Referring to the block diagram, assemble the block, starting from the bottom and checking the alignment after every seam. This way you won't realize you have a wonky block after sewing all the sections together.