I was told that up until 12 weeks all babies grow at the same rate, after that point the rate at which the baby grows is determined by genetics. So they like to do the scan at 12 weeks to determine due date / gestational date
With my first I didn't get first ultrasound till 10 weeks and that was my first obgyn appointment. With this one My first ultrasound was probably around then. I am with midwives tho so they don't do ultrasounds really