"Poor people, it's All Your Own Fault and nothing at all to do with the way we happen to decide to carve up the pie of income/wealth/reward/opportunity in this country."
Saying "you can do something about this! It's not impossible!" to "poor people" is not the same as blaming them.
Thinking that "poor people" can't do anything about their situation and are stuck there until the Government decides to change how it "carve(s) up the pie of income/wealth/reward/opportunity" is both wrong and extremely demeaning.
From the kids going through the education system in a run down area the ones who are doing well are usually the ones whose parents supported the school in things like discipline and showed an interested in the child's education.
The ones who seem to be in trouble and going nowhere fast are usually the ones whose parents didn't give a damn, were up complaining to the school if the school tried to discipline the child and would sit there at parent's evenings saying "of course we read to our child every night" when you know full well that they don't.
There are always exceptions to both sides but as a rule the kids that do best and therefore the kids that stand to make the most of their life chances are the ones with involved parent's.
The same was certainly true of my life looking back. My parents took me to the library, they read to me most nights, I read to them most nights as I grew up and they were involved with my school. True enough later in my school years they lost interest in me but by that point I was pretty much set.
I went to what was considered to be a very rough school and people around me went everywhere from high flying bankers to prison multiple times for violent crime. Once again a key splitting factor, though with many exceptions, was parental involvement with the child and their education.
However....
I'm not sure that the Government trying to get involved and determine what "good parenting" is is the right thing to be doing.
The rising costs of higher education might substantially change things. Even today I don't like debt and I think I got that from my background, I live carefully within me means. Would going to university with it's now higher costs and debts put me off? Quite possible. And that does put a real glass ceiling on people's life changes.