[donatj]

In this specific example, I very much see the point of a Math class for those not actively pursuing a heavily mathematics-embedded career is just the exposure to ideas. Being a stickler for total competency does nothing to encourage exposure; I'd almost argue there's room to grade the two groups on separate scales.

Do I remember the formulas or operations from my higher levels math classes? Largely no. Do I think they were a worthwhile endeavor? Absolutely, I was profoundly affected.

The long-term value of classes for those who largely won't use the skill in the future is the mind opening exposure, not the competency we test for.