Calculus in Lower Education

Since Calculus is a sort of "big picture" view of what everything in Highschool Math actually means and looks like, should there be some kind of Pre-PreCalculus or Calculus Concepts that can be introdeuced around first year highschool?  So people could perhaps actually understand what it is they're learning?

>(and probably my recent college analysis classes)
I thought Berkeley was a good university?