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Because as the people that are going to eventually formally educate this new common core generation I suspect they'd tell you if your goal is to teach mediocre kids how to work a cash register this might be a method meeting that goal. On the other hand I suspect everyone is going to get tripped up advancing to calculus and derivatives and likely way before that. Each math class you take is a building block for the next course, I don't see how teaching this is in anyway going to prepare them for advanced math courses.
Umm if you are doing trig or calc you are using formulas and a calculator. That has nothing to do with doing fast arithmetic or subtraction in your head. These are just basic tricks everyone uses.