Regardless of the type of resume you choose, aim to tailor your resume to the job you are applying to. While it’s perfectly acceptable to use a resume template, which you adapt to fit each job description, it’s a bad idea to send the same exact resume to multiple openings, even within the same field.
In the United States, a CV is almost exclusively limited to professions in academia, science and medicine. In the case of academia, the main focus of the CV should be to identify yourself as a scholar. The added length, should be filled with proof of your skills as a teacher, scholar, and your knowledge of education. A CV should be thought of as a living document, and it will change frequently based on the updates in your education and career.