If you know which schools your child is looking into, I suggest checking their requirements. I think the credit minimum is 24. For some colleges it’s more. I recommend you research.
Otherwise, what follows is my opinion; based on a lot of reading, my state’s minimal, but decent requirements, and a belief in the power of a strong liberal arts education, even for a STEM kid (studies show the value in this).
History-3-4 credits:
Geography: human, political, and cultural
American, British, and World, with a focus on Western Civilization, but adding in some basics of Asian, S. American, and African. Taking two years is, IMO, ideal. Also, you can cover these chromologically through all four years, such as is done by Ambleside Online.
OR, over 4 years:
Ancients – until 5 cen. AD/CE
Medieval – 5th cen. to 15th c.
Modern – 16th c. to 20thc.
20th cen.and beyond
Be able to read and interpret primary sources.
Since she’s in 10th and I don’t know what history/Geography she did last year, then:
American, British, and World; and integrate geography.
Grammar/Mechanics (included in lit. credit):
I think 2 years in high school, and high expectations when speaking and writing, is necessary. There are such poor grammar skills exhibited in the spoken and written word within our culture, that it desperately needs reinforcing.
Foreign Language (2 credit minimum): 2 years, at minimum. More is preferred.
Lit (including plays, poetry, short stories, autobiographies, biographies)- 3-4 credits:
Broken up by Ancient, Medieval, Modern, and 20th c. and beyond.
American; British (could feasibly do 2 years of British); World
OR:
American; British; World; Poetry and Short stories studies (covering all three catagories)
OR:
American, British, & World for the 3 years you have left.
Be able to identify: conflict(s), exposition, rising action, climax, denouement, conclusion (recommend Teaching the Classics for this and the socratic questions). Teach them how to skim and read closely with annotations.
Composition: (part of lit. credit):
Basic intro paragraph structure; 5-paragraph essay; lit analysis essay forms; research paper; summaries; write in the 4 main essay forms (narrative, expository, descriptive, persuasive). Timed w/prompt (for SAT). If your child likes writing, you should include creative and poetry.
Vocabulary/Spelling:(part of lit.):
If your child is a natural speller and voracious and close reader, dictation is probably sufficient. Require a vocabulary notebook with their lit readings, where you require a minimum amount of new words that your child writes/defines words they are unfamiliar with from each chapter. Including part of speech, whether its use is singular or plural, have them confirm the pronunciation, and definitions. Maybe include synonyms and antonyms, too.
If not a natural speller, even if a good reader, I don’t think dictation is enough. So, you’ll want to find something appropriate for high school spelling: reviewing phonics, rules, etc. Require the vocabulary notebook mentioned above.
Math: usually 3-4 credits
Alg 1 & 2; Geometry; pre-calc/trig. or consumer math, personal finance.
Science: 3-4 credits, 3 w/labs
Biology; Chemistry; Physics; Physical Science; Anatomy & Physiology; many to choose from.
Electives (2-4?cr.) and extra–curriculars which showcase your child unique interests and bent. I personally think Logic study is very important. Obviously, part of a traditional liberal arts education. There’s traditional, linguistic logic and modern symbolic. The latter is used by those in engineering and computer careers. I think the former is necessary for all, with a blend of both for STEM kids.
Other subjects important to colleges (and life):
Economics(1/2 cr.); American Government (1/2 cr.) current events; fine arts (1-2 cr.); health/nutritional studies(1/2 cr.) Unless you’re going to maintain a portfolio (assuming the college accepts it), you’ll want to create course descriptions and a transcript, ordered by subject and/or year and/or semester, with credit hours for these subjects.
HSLDA has an informative section for high school. Also, AO is very helpful.
Check https://www.homehighschoolhelp.com
I personally use online classes for math and composition. Co-op for science. That’s not absolutely necessary and everything else can be done frugally by using kindles (I think you can annotate on a Kindle); library for bioks not annotating, otherwise you can find books inexpensively used on Amazon, Alibris, Homeschoolclassifieds; curricula can be found inexpensively at Homeschoolclassifieds and well trained mind classifieds.
Free online classes:
http://www.virtualhomeschoolgroup.org
I may have something which was given to me which I could pass to you, if needed. Saxpn math; Teaching Textbooks Alg 1; an Apologia Biology textbook.
HTH