School rules are something which most people remember.  One at a school I attended was that after crossing a line marked on the floor, talking was not allowed until crossing it again on the way back from assembly.

Speak when you are spoken to.
This was often said to hesitant children.  It did not agree with the maximChildren should be seen and not heard.”

Dragged up is not quite the same as brought up properly.

Pulled up by his bootstraps is similar to dragged up.

Wrapped in cotton wool describes a child who is over-protected.

Hand-me-downs are second-hand clothes passed down from an older sibling or other child.

Don’t show yourself up – behave yourself!

Don’t show off means don’t make an exhibition of yourself.

Mug up means learn and is usually applied to studying a particular topic, perhaps in order to give a talk or to take part in a quiz.

Up in the air means uncertain.

Check up examine or find out whether something is true.

Stick up for means support someone, perhaps when others are against them.

A build-up may be an accumulation or hype.

Train a child in the way he should go,
and when he is old he will not turn from it.

Proverbs 22:6 (NIV)

 A related post which I found after I had written this:  http://buddhakat.wordpress.com/2013/08/13/up-is-on-the-up-and-up/