#1: Common Core is not at all the same thing as a core curriculum.
Core curriculum, as defined by the College Board:
"four or more years of English, three or more years of mathematics, three or more years of natural science, and three or more years of social science and history"
The Common Core is a lengthy set of educational standards--"what students should know and be able to do in each subject in each grade."
Emphasis added in quote above to highlight that you may have answered your own question/challenge.
Breaking it down, by simple substitution of the words "
each subject" and "
each grade" in the Common Core definition you provided, with the actual list of core curriculum you provided as being sourced from College Board, we have:
Four or more years of English
1) what students should know and be able to do in
English,
grade 9.
2) what students should know and be able to do in
English,
grade 10.
3) what students should know and be able to do in
English,
grade 11.
4) what students should know and be able to do in
English,
grade 12.
Three or more years of Mathematics
5) what students should know and be able to do in
Math,
grade 9-10band.
6) what students should know and be able to do in
Math,
grade 10-11band.
7) what students should know and be able to do in
Math,
grade 11-12band.
Three or more years of Natural Science
8) what students should know and be able to do in
Science,
grade 9-10band.
9) what students should know and be able to do in
Science,
grade 10-11band.
10) what students should know and be able to do in
Science,
grade 11-12band.
Three or more years of Social Science and History
11) what students should know and be able to do in
SocSci/Hst,
grade 9-10band.
12) what students should know and be able to do in
SocSci/Hst,
grade 10-11band.
13) what students should know and be able to do in
SocSci/Hst,
grade 11-12band.
These are not disparate items. These may be described as two interlocking puzzle pieces from the same puzzle. Viewed from a distance: one piece. Viewed closely: a union of adjoining pieces.