When I first learned to quilt, I would draw the pattern on paper then glue it to cardboard, trace around the cardboard onto the fabric & then cut the fabric. The fabric always moved during cutting even if I pinned the fabric. The cut out pieces were never quite accurate.
Now I use a rotary cutter and plastic rulers. Of all the quilting tools you could purchase, I would say those 2 items are at the top of my list. Get on Joann's mailing list. Many times they will email you a 40% off coupon that you can use to purchase the cutter and rulers.