I too was taught at a very young age on a Singer 201 by my Grandmother. I don't specifically remember using scissors, but do remember pinning patterns and using a seam ripper. I'm grateful to Grandma for the early lessons and cherish those memories with her.
When I was about 13 she gave me that old Singer, and when I moved out on my own, the machine stayed with my Mother. Mom passed away a few years ago, and that old Singer now is the star in my sewing room. It has served three generations of women well, and someday I hope my granddaughter will want her grandma to teach her to sew too.