The early ball of cells becomes a fluid-filled blastocyst. The cells that will form the body then organise into an embryonic disc, and later fold into the familiar curved embryo. “Embryo” includes those early flat stages, too.
After roughly eight weeks of development following fertilisation, we call our baby a fetus. The basic body plan is there, with plenty of growing and developing still ahead. These names help us follow the story; development keeps moving through them rather than switching overnight.
Our celebrations follow the calendar, while the drawings and explanations show the changes around each stage. The heart getting started means the early heart tube beginning to contract, which comes before the flicker we may see on an ultrasound.