Forget cooking, cleaning and diy, what children need to know before leaving home is;
Financial management, how to look after their own money and others and how money functions.
Negotiation; saying yes themselves and getting others to say yes.
Clear communication; saying what you really mean so that others clearly understand.
Empathy and emotions; understanding how and why someone feels and behaves the way they do.
Understanding instructions; from IKEA to work and everything in between.
Motivations; what motivates themselves and what motivates others.
Organise things; do things one put things in a sensible fashion so that you can get it again.
Be polite; it greases the wheels of interaction.
These can all be dressed up in homilies and proverbs (not the Christian fundamentalist ones used to control and abuse people) like:
Empathy and emotions