Today's phrase is to "cross (someone's) mind".
It means to think about something for a very short time. We sometimes use this phrase in it's negative form to mean we had never thought of something.
"It crossed my mind to call, but I decided it was a bad idea."
"It never crossed his mind that she was angry."
To cross (somone's) mindとは、『頭をよぎる』や『心に浮かぶ』という意味です。