@Dmmetler Thank you for the info! I've just registered for one summer class at onlineg3, and I am looking at their other classes. (An older child took "History through movies" there, and liked it, but it was a long time ago.)

No surprise re. Saxon. We did Singapore before Beast Academy. We also tried Zaccaro, and Life of Fred - our kids did not like much either of these. Try Beast Academy online ($15 / month), your child may like it much more than the Beast Academy books. (Ours did.) The online version has more of everything, interactive, all grades 1-5 are available at the same time, and it has lots of puzzles not related to the main lessons. (Note: there is a control in BA online to allow access to everything at once, which is disabled by default.)

The regular school is supposed to provide two important things: education and socialization. The socialization is fine, but the education is not sufficient for these particular kids. The default plan is to go to a regular high school where they'll be able to get APs. On the other hand, if they stay in the current school, they won't be ready for APs. Another reason (which might be the most important one) is that under-challenge is harmful. We are planning to do: math, science, english, history, spanish. Plus music instruments and sports. The regular scheduled classes provide an outside structure, which works much better with these kids than when mom and dad are teaching. We are definitely making sure that they are not over-loaded.

@Lawyer&Mom Yes, you should support her passions. On the other hand, if you do decide to nudge here in the direction of math, here are my 2 cents. 1) Math is often an acquired taste. 2) Was dd9 doing Beast Academy on her own? It would help if you actively work with her. Kids of all math levels get stuck once in while or regularly on particular aops topics / chapters / problems. (I've seen this, and there have been plenty of mentions about this on these forums.) This hurts motivation. 3) A scheduled aops class may not be the best option right now. The pace may be too fast, and, again, some aops chapters are known to be harder than others for a particular child at a particular point in time. A self-paced course, like Beast Academy, may work better, at least at the beginning. 4) Try different Beast Academy levels? Could be too boring, or too hard? You have access to all levels at once. 5) BTW, use BA online (subscription), at least for the above reason. And there is more fun in the online edition. There are also lots of puzzles there, completely unrelated to the main material. 6) It is ok to skip stuff in Beast Academy, and to pick and choose. A lot. 7) Try Singapore math? A solid program, but much less problem-solving? Hope this helps!

@8filltheheart Thank you for this info! Yes, we are now leaning to a straight-up Physical Science or Physics classes for the next year. We are considering adding Integrated Science too, but we could probably teach that on our own, and we''ll decide later. (Basically, we'll see how it is going, and I am pretty sure we'll be making adjustments during the year.) The Friendly Biology could work for one of the kids, and for the other later.

@Malam Thank you for these references! We particularly like the English class. Re. the Integrated Science class, we may not sign up, but I am getting the Hewitt's "Integrated Science" textbook that they are using. (I already have the Hewitt's "Conceptual Physics" and was not aware of the other book.)

We’ve finally bitten the bullet and are switching to homeschooling this fall (from a public school), definitely for grades 7 and 8 (and of course we will see how it goes later). We are looking for *online* classes (preferably live, but could be self-paced, if there is sufficient teacher’s feedback), or maybe individual instruction remotely. We would very much appreciate advice here. The kids are advanced in Math, as well as in reading. Writing is problematic, as far as we can tell. Actually, we are very worried about *English*, as we ourselves cannot help much with it. In Math, we’ll continue with AOPS, which is very familiar and can be used for years to come. In Science, we’d like to find some general Science class covering many subjects. As to individual Science subjects: Physics: at some point in the future we will use Derek Owen’s classes (Physical Science + Physics), but not ready for that yet. Biology: no idea yet, we’d like to include it this year, but it can wait a little. We are pretty clueless about online English, History, Spanish classes. (The following is from searches on these forums:) Spanish (the previous experience is 1 year of Spanish): https://www.spanish.academy/ English: https://debrabell.com/ (AIM Academy Online) https://www.wtmacademy.com/ Any other leads re. English? Can anybody compare the two above? Advice on particular teachers / courses? (Analysis / writing in particular.) History: we are considering the same providers as for English: AIM and WTM academies (above). Thank you!

Are you aware that AOPS also has 'Prealgebra' textbook?

Based on your description, Derek Owens math may be your best bet. You've previously used 2 very different programs. Saxon is very weak, while AOPS is one of the most rigorous and hardest programs. (Jacobs is in the direction of AOPS, but not as 'meaty' or thorough.) Derek Owens Algebra 1 is based on the Dolciani textbook, which is a good sign, as this is a reputable textbook. (But you are probably looking for Algebra 2.) Besides AOPS and Derek Owens, other choices are Stanford EPGY and imacs. Stanford EPGY may be good (but we have not tried the higher level classes). imacs looks drier and with more repitition than AOPS. IIRC, both are expensive. Hope this helps.

- beautifully stated!

It looks like DC (grade 1) will be working on Math Mammoth, and we do not worry about the Math progression. On the other hand, we are completely lost WRT what to use for ELA. I've looked at the Easy Grammar (thanks to a mention by EndOfOrdinary) and liked it, but it is way too advanced for now. So I'm looking for something much simpler, starting from the very beginning, and will appreciate suggestions. DC can progress quickly, but is not self-driven to learn things like grammar. DC reads easily, and can read technical texts if they have high practical value, like 'Minecraft Redstone' books, with good understanding, while preferring 'fun short books' when reading for fun. We have an Amazon Kindle, so some Kindle apps may be of use, probably as an additional resource.

Davidson Gifted forums have some posts on 'adult 2e'. E. g., "2e/ADHD adult resources" (use 'site:giftedissues.davidsongifted.org/BB adult 2e' to find more).

A good idea - I'd like DC to do this later this year (frustration or not), when there is more time.

Have you seen this post http://giftedissues.davidsongifted.org/BB/ubbthreads.php/topics/226124/Re_Less_gifted_girls_than_boys.html#Post226124 ?

Ditto everything quark and chocolate-chip chooky said above (based only on my experience; YMMV, of course).

Yes.

All above is very good advice. Word problems require the translation from the natural language to the language of math as the first step, which adds an extra level of difficulty, at any age, but maybe more so for younger children. Re: whether to skip the topic: I'd try to avoid 'getting stuck' if this causes high levels of frustration. It might be better to continue on with other topics and keep coming back to word problems, let it 'simmer'.

This.

With any program, a good tutor/teacher will be very valuable. DC gets help from me occasionally, gets very useful feedback on the 'writing' problems in his AOPS class; the interactive online class sessions are also useful.

Alcumus may provide both practice and assessment: the topic's bar is green = passed, blue = mastery. ETA: one can also see the progress by topic in the 'report' tab.

Beginning serious study of geometry after having dealt with mostly just 'discrete math' may be / feel overwhelming. I, too, love how AOPS deals with geometry. (And many other, well-known, geometry textbooks (with rare exceptions) just turn me off.) In particular, AOPS covers 'angle-chasing' inside and out as the first topic (at the beginning of 'Intro to geometry' book) - to me it looks almost like a game. Try it as an experiment - you might actually like it. (BTW, here is a good definition of 'discrete math': http://www.cse.buffalo.edu/~rapaport/191/S09/whatisdiscmath.html - no pictures, ugh! While geometry is all about 'pictures'. :) )

I'd suggest AOPS prealgebra (1 or 2). AOPS is hard, and very different from other texts/classes. Softer introduction to AOPS is better. I'd also strongly suggest trying AOPS prealgebra textbook first (before the class start), from ch. 1 - the full load: problems in the text, exercises, challenge problems. "He also works a little bit in Alcumus, independently, (I have him work on something until it turns green)." BTW, you could try requiring the bar to turn blue ('mastery' of the topic) - in my experience, it may make a difference for future topics (YMMV). (In any case, alcumus is a great tool.)

Those would be my suggestions as well. There is a TC course that pairs with Conceptual Physics called Great Ideas of Classical Physics, and Bloomfield offers a How Things Work course on Coursera that goes with his course. In case you want to add lectures to the reading. Those would be my suggestions as well. There is a TC course that pairs with Conceptual Physics called Great Ideas of Classical Physics, and Bloomfield offers a How Things Work course on Coursera that goes with his course. In case you want to add lectures to the reading. I like How Things Work by Louis Bloomfield too. (And thank you for the coursera reference.) Also: 'Thinking Physics' by Epstein and 'The flying circus of physics' by Walker (these two are problem/solution books, not textbooks), 'Cartoon guide to physics' by Larry Gonick (and many of his other guides too).

- The new way things work by David Macaulay - Electronic curcuits for evil genius 2/e (you'll need to buy parts separately, but those are cheap)

Tanya Khovanova about John H Conway being able to factor large numbers in his head: 'Remember Your Primes': http://blog.tanyakhovanova.com/2008/09/remember-your-primes/ . (Note: I also vote 'no' on rote memorisation.)