Funny, almost everything pure math before algebra is intuitively derivable from other math (and much of algebra is in many ways; and yes (you know who you are) all of math is derivable.) Whether any individual student will make those leaps and connections is guesswork and experimentation for everyone involved. Whether their leaps will be compatible with random entity X's philosophy of math execution is another question.

Personally, I think having a teacher believe in a kid and their capability is well worth letting it ride.