Quite happy to refute them, it sounds like the real problem is there a lack of extension of standards by the school authorities (which
can be a worryingly un-policed area in education), this is a Common Core, not a full curriculum.
The part where the female mathematics expert showed her horror at a potential alternative method to division for people who can't follow "the traditional" method. I've actually kept that to use in training myself, it's hysterical.
You really think that
starting a curriculum with pure exposure to "the classics" is a great inclusive basepoint? In practice it isn't, and actually you'll find academics unable to agree on the core "classics" any way.
Extension to more difficult and less relevant material is part of a sensitive and appropriate extended curriculum. Shakespeare was no more relevant to the person I was at school than it is now, fascinating though he is to study once one's prepared for the work. Heresy, I know