most of the patterns I've used have you cut your fabric so that you do not have a bias edge for the top fabric. then they "square" it off so you can have a non-bias edge for the next cut.
If you have no problem sewing bias, then you can modify so you don't have all those cut off "squares". So when I have a triangle shape piece, I cut a triangle shape. I still cut oversize so it's easier to get in the right spot. I am often sewing from my stash, and so may not have the amount of yardage specified so want to have as little waste as possible.
This is what I was dealing with.
And this is what my "waste" looked like.
