Fundamental Theorem of Calculus

If, in fact, "The Fundamental Theorem of Calculus" is fundamental, why is it on page 400.  It should be on page 1.  - Can you see the forest for the trees?

Starting calculus with the Fundamental Theorem (FTC) is impossible!  Right?  You must go through the normal progression of functions, limits, derivatives, etc., before introducing such complexity.  Right?  Perhaps not.  The standard approach takes weeks or months before integration is discussed.  In the meantime you're wondering how difficult integrals will be as you struggle with derivatives.  With FTC, on day one, you're dealing with the "forest," the big picture.  It will (should) demystify the entire subject.

Look what you can achieve by examining the above image.  Work backwards.  This is what a function looks like; here's a derivative/slope/tangent; this is a limit and this is how it's used; this is an area function, this is why the derivative of the area function/integral = y = f(x).

Explain the symbology; explain the terminology.  Remember, "The Fundamental Theorem of Calculus" is fundamental!  There's no rush.  Take your time.  Explain each concept while tying them into a cohesive whole.

FTC links