katymac the bits you refer to in your OP are indeed part of a PGCE (post compulsory education) course and take you up to level 7 qual (so post grad). It is what I have. I then spent around a year (not quite) to earn my QTLS (which is the equiv of QTS for school teachers). QTLS has (since April this year) been recognised as exact equiv of QTS and so those of us who have PGCE (PCE) and QTLS can now teach in ALL sectors as qualified teachers.
I happened to do my PGCE part time over 2 years, others do it full time over 1 year.
Gove has changed the requirements yet again and I understand that it is no longer a professional requirement that teachers/lecturers in FE/HE have PGCE/QTLS. Shame because teaching does require professional training.
I now teach in a school, teaching English, my degree subject. The PGCE taught me to teach but not how to teach my subject!
it is a useful qualification but it is tailored towards professionals who have been teaching others their subject for many years and now want a good professional qualification to provide them with skills and knowledge to back up their subject experience. it isn't a shortcut into teaching - you need prior experience and also have to find yourself 150 hours of teaching experience to complete the award. i am not 100% certain of your daughter's professional requirements but it doesn't sound like the right course for her at this stage (at 16).
i really loved the course and it was brilliant for me. It helped me work out that although i loved my job training adults in my then sector i also loved teaching so much i wanted to teach in a school which is what i now do having also obtained my QTLS. It was an extremely tough route but worked for me as i couldn't afford to stop work in order to qualify.
You can't realistically expect a 16 year old to undertake a professional qualification, at post-graduate level, aimed at practitioners. It's totally unsuitable, and I'd question the ethics of the college if they accepted such an applicant.
What's wrong with doing teaching training when she's older and her dance career is over?
And there is very little that a decision made at 14 y old can make that will affect the rest of their life - it won't necessarily be easy, but with enough determination and application an adult CAN do things they otherwise thought they couldn't - starting a medicine degree at 40 for instance.