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The purpose of Common Core is to destroy learning.
Common Core is a weapon of mass destruction, and its supporters should be tried for treason and crimes against humanity.

John Taylor Gatto explains it all very well in two articles, and it's not just Common Core, but the entire modern Public Education edifice; here's some portions [and links] of the two articles:

Inglis breaks down the purpose - the actual purpose - of modem schooling into six basic functions, any one of which is enough to curl the hair of those innocent enough to believe the three traditional goals listed earlier:
1) The adjustive or adaptive function. Schools are to establish fixed habits of reaction to authority. This, of course, precludes critical judgment completely. It also pretty much destroys the idea that useful or interesting material should be taught, because you can't test for reflexive obedience until you know whether you can make kids learn, and do, foolish and boring things.
2) The integrating function. This might well be called "the conformity function," because its intention is to make children as alike as possible. People who conform are predictable, and this is of great use to those who wish to harness and manipulate a large labor force.
3) The diagnostic and directive function. School is meant to determine each student's proper social role. This is done by logging evidence mathematically and anecdotally on cumulative records. As in "your permanent record." Yes, you do have one.
4) The differentiating function. Once their social role has been "diagnosed," children are to be sorted by role and trained only so far as their destination in the social machine merits - and not one step further. So much for making kids their personal best.
5) The selective function. This refers not to human choice at all but to Darwin's theory of natural selection as applied to what he called "the favored races." In short, the idea is to help things along by consciously attempting to improve the breeding stock. Schools are meant to tag the unfit - with poor grades, remedial placement, and other punishments - clearly enough that their peers will accept them as inferior and effectively bar them from the reproductive sweepstakes. That's what all those little humiliations from first grade onward were intended to do: wash the dirt down the drain.
6) The propaedeutic function. The societal system implied by these rules will require an elite group of caretakers. To that end, a small fraction of the kids will quietly be taught how to manage this continuing project, how to watch over and control a population deliberately dumbed down and declawed in order that government might proceed unchallenged and corporations might never want for obedient labor.
— John Gatto, Against School

But here is the calculus of time the children I teach must deal with:
Out of the 168 hours in each week, my children sleep 56. That leaves them 112 hours a week out of which to fashion a self.
My children watch 55 hours of television a week according to recent reports. That leaves them 57 hours a week in which to grow up.
My children attend school 30 hours a week, use about 6 hours getting ready, going and coming home, and spend an average of 7 hours a week in homework - a total of 45 hours. During that time, they are under constant surveillance, have no private time or private space, and are disciplined if they try to assert individuality in the use of time or space. That leaves 12 hours a week out of which to create a unique consciousness. Of course, my kids eat, and that takes some time - not much, because they've lost the tradition of family dining, but if we allot 3 hours a week to evening meals, we arrive at a net amount of private time for each child of 9 hours.
[…]
I want to tell you what the effect is on children of taking all their time from them - time they need to grow up - and forcing them to spend it on abstractions. You need to hear this, because no reform that doesn't attack these specific pathologies will be anything more than a facade.

The children I teach are indifferent to the adult world. This defies the experience of thousands of years. A close study of what big people were up to was always the most exciting occupation of youth, but nobody wants to grow up these days and who can blame them? Toys are us.
The children I teach have almost no curiosity and what they do have is transitory; they cannot concentrate for very long, even on things they choose to do. Can you see a connection between the bells ringing again and again to change classes and this phenomenon of evanescent attention?
The children I teach have a poor sense of the future, of how tomorrow is inextricably linked to today. As I said before, they have a continuous present, the exact moment they are at is the boundary of their consciousness.
The children I teach are ahistorical, they have no sense of how past has predestined their own present, limiting their choices, shaping their values and lives.
The children I teach are cruel to each other, they lack compassion for misfortune, they laugh at weakness, and they have contempt for people whose need for help shows too plainly.
The children I teach are uneasy with intimacy or candor. My guess is that they are like many adopted people I've known in this respect - they cannot deal with genuine intimacy because of a lifelong habit of preserving a secret inner self inside a larger outer personality made up of artificial bits and pieces of behavior borrowed from television or acquired to manipulate teachers. Because they are not who they represent themselves to be the disguise wears thin in the presence of intimacy so intimate relationships have to be avoided.
The children I teach are materialistic, following the lead of schoolteachers who materialistically "grade" everything - and television mentors who offer everything in the world for free.
The children I teach are dependent, passive, and timid in the presence of new challenges. This is frequently masked by surface bravado, or by anger or aggressiveness but underneath is a vacuum without fortitude.

— John Gatto, Why Schools Don't Educate