B1
to raise your hand and move it from side to side in order to attract someone's attention or to say goodbye
Dictionary examples:
He waved at his reflection in the mirror, practicing his 'cool guy' look. (0.0)
The politician waved at the crowd, accidentally hitting his toupee off his head. (0.0)
The clumsy magician waved his wand and accidentally made his assistant disappear. (0.0)
She was so mad she wouldn't even wave goodbye to us. (32.8)
She waves her hands around a lot when she's talking. (33.8)
I waved to/at him, and he waved back. (41.0)