[dragonwriter]

You cover math and science and world history, and then claim that the only gaps are local geography, local history, local civics and polity and socialization (which is a lot more than what isn't a gap, but still).

Of the core trinity of “reading, ’riting, and ’rithmetic”, I'll note that what you have covered plus what you have listed as missing includes only one of the three.

Also, while I'm less familiar with KA, YouTube is at best a less-information-dense substitute for a book, not a substitute for active instruction and graded exercises with feedback.