Independent schools are interested in graduates with a good degree relevant to the subject you will be teaching. You apply directly to a school for a teaching position as an unqualified teacher and undertake Qualified Teacher Status (QTS) training whilst working and gaining teaching experience. This can be done within an independent school, which may well pay your salary whilst you train. The school will work with an initial teacher training (ITT) provider to carry out the QTS training and assessment. Some providers will offer School Direct (QTS) with Post Graduate Certificate of Education (PGCE). These qualifications are transferable and allow you to work in the state maintained sector.
The Graduate Teaching Intern (GTI) scheme is an opportunity for graduates to try teaching as part of a paid internship programme in an English school. More information is available on the TryTeaching website.
More details are available at hmcteachingcareers.org.uk
Some Independent schools offer School Direct places where the trainee is paid a salary.
Apply for a post in an independent school that will accept someone without QTS.