YOU SAID:
I woke up late for school this morning
INTO JAPANESE
私は今朝学校に遅れて目を覚ました
BACK INTO ENGLISH
I woke up late for school this morning.
INTO JAPANESE
私は今朝学校に遅れて目が覚めた。
BACK INTO ENGLISH
I woke up late for school this morning.
That didn't even make that much sense in English.