The word ides refers to the middle of certain Roman months, particularly March, May, July, and October. March 15th is the ides of March.
The term ides stems from the ancient Roman calendar, marking the midpoint of months. Today, most people know the word from the phrase "Beware the ides of March," which comes from William Shakespeare's Julius Caesar. In the play, a fortune-teller issues this warning to Caesar during events that lead up to his assassination in the Senate.