A teacher's resume should be brief and focus on the areas of expertise and experience the employer will find interesting, in case you are applying for your first or one of your first jobs in the education field it is better to compose a fresh resume (that is: a one-page resume) and do not forget to highlight your aspirations and aims.
Do some previous research (e.g.: Online) and compose a cover letter based on what the school/organization may be looking for as well as to mention why you would like to be part of that school's body.
Each school, whether it is a university or college, may vary quite a bit based on the history as well as the area.
Herewith you will find different options of professional resumes for different educational areas.