Uhhhh, so we're not supposed to ever go beyond "simple math"??! Wow, and I thought the dumbing down of the standards was bad.
Tell me, should I ask students to memorize the quadratic formula? Or, since it's bad to say "don't worry about how we got there, just memorize it" should I make the students understand how to derive the quadratic formula (it's actually their quiz late next week.) And, if they don't memorize it, and I just give it to them, am I supposed to just give them the quadratic formula in algebra II? Pre-calculus? Calculus? Hell, by the time they get to differential equations, my test will be 40 pages long just to give them room for all the formulas. And the poor, suffering students in upper level physics courses. With all those pages of formulas, it's going to be hard for them to find the formula to determine the 3rd side of a right triangle, given the other two sides.
And, I guess it makes sense to wait until students can handle the derivation of the formula for the area of a circle before we ever have them find the area of a circle. Let's move that formula toward the end of high school. Never mind that many of the kids will never get to that level of mathematics, thus will never be able to find the area of a circle.