I am a junior math major in NY and will apply to PhD programs next year. I am terrified about getting rejected as I have not yet put any serious thought into a backup plan. I've tutored high school mathematics for the past two years and very much enjoyed this so I wouldn't mind becoming a (private or public) high school math teacher in the case of univesral rejection from graduate schools.
However, I only recently began considering this option. I haven't taken any education courses and do not know a single thing about the certification process for high school teachers.
Is it too late to prepare for this possibility? If not, what should I do to prepare?