Don't throw the paper away. I use the large pieces for adjusting pattern pieces for clothing, or original patterns for whatever I want. I have been know to tape old wrapping paper with the blank side out, onto the driveway and sidewalk. Then I give everyone paint. Use feet, hands noses, potatoes and weeds. Make lots of mess! Fun. Just wash bodies with the sprinkler. Then throw it away.
One year I used butcher paper for this and then saved it. We used it as wrapping paper that Christmas. This is also a fun way to use stamps and old ink pads.