I just posted this on another thread, but it seems right here, too, and it's conveniently still on my clipboard. 10- minute block:
https://www.google.com/search?ei=jzH....0.Q9tB-5abJlM
You could make them with rectangles, such as cutting each fat quarter in half, but the center needs to start as a square, I think. If you sew down the center (by either method she shows) after you have layered your quilt, that can be part of the quilting. The same user on youtube also shows another variation using only 3 pieces per block.
One thing you can do that will also save a lot of time and make a soft, comfortable throw is skip the batting and use fleece for the back. It shows off quilting nicely and is easier to handle than I expected. I can't find a picture of mine, but will take one and brb.