You can purchase the Math Olympiad (MOEMS) contest books. These are collections of their older contests. They have full solutions in the back. Hard Math series by Glen Ellison is quite good with a solution manual. The elementary has a published solutions manual. The middle school solutions are 2/3 completed online.

I also am going to suggest a completely different approach to math as well. I have friends who speak very highly of this. https://www.crewtonramoneshouseofmath.com/Getting-Started.html

+1 on the suggestion about looking at any undiagnosed LDs. If you say overall things just don't click for her in anything. And that would be my highest priority in ruling those things out before moving forward with high school. And I would rule out any possible vision issues as well.

I liked the fraction program put out by the people who developed Hands On Equations which I also recommend to you as I think she might benefit from a manipulative approach. It sounds like these concepts are too abstract for her.

Has she ever been exposed to a manipulative like this? https://www.rainbowresource.com/product/018354/Fraction-Tower-Cube-Equivalency-Set.html?

I think what might also be useful is running her through the review sections of the latter part of the intro of algebra book (after ch. 16) so that she can get accustomed to AOPS style and to see if she is ready for something like AOPS. Going from MUS to AOPs is a pretty drastic change in style and approach for a student who may not be exposed to discovery approach or putting in the level of effort and time that AOPS requires. MUS is not generally a curricula that is commonly used with highly math adept students. Can you borrow a copy of the textbook from your library or someone? I find the reaction to AOPs is pretty much you love it or hate it.

@MamaSprout Could you tell me when during your math progression did you slot those classes in, and how long did a course on average take?

Thanks @MamaSprout we will likely have to follow suit. I appreciate the info!

Tagging along this discussion with this question: is EMF strictly online with no physical textbook? My son does not learn as well without a physical textbook. I keep seeing discussions about EMF...

This is not a hugely commonly used resource, but you might want to look at Outling by Remedia Publications. It focuses just on the skill of outlining and writing from an outline. https://www.rempub.com/outlining Another pretty good resource is the Paragraphs series (4 books) by EPS. http://eps.schoolspecialty.com/products/literacy/grammar-writing/the-paragraph-book/about-the-program I am specfically making recommendations that I think are doable in an afterschooling situation. Both of these are aimed at working with struggling middle school students, but I think they are pretty good for using with younger students for the purposes of explicit instruction to improve writing in reasonable chunks without being overwhelming. I would suggest ordering from Rainbow Resource Center for the best pricing.

I think I would suggest Jacob's Mathematics: A Human Endeavor. It covers math topics outside of the traditional scope and sequence. It perfectly fine and challenging for someone at that level. I am just finishing this up with my son right now to go wider in math without rushing on toward calculus. https://www.amazon.com/Mathematics-Endeavor-Harold-R-Jacobs/dp/071672426X Or possibly Hard Math for Middle School by Glen Ellison which is for gifted kids. https://www.amazon.com/Hard-Math-Middle-School-IMLEM/dp/1453814450 Instead of C&P and Number Theory, I might suggest the AOPS Problem Solving series. https://www.amazon.com/Art-Problem-Solving-Vol-Basics/dp/0977304566/ref=sr_1_1?crid=3L79PYGOT072T&keywords=art+of+problem+solving+volume+1&qid=1572588216&s=books&sprefix=art+of+problem+sol%2Cstripbooks%2C210&sr=1-1 Look at Kilgallon for Middle School. Google Kilgallon and Well Trained Minds forums to read about this. You can totally do one worktext in 2 months. http://sentencecomposing.com/

I'm a little confused by what you are actually considering. Is it Latin Alive? Your 2nd paragraph says you don't want to jump into Latin Alive. Then it says Latin Alive is what you are considering. FWIW, my son went from LFC B (2nd edition) - vastly more interesting and engaging than 1st edition btw - into Latin Alive - 3rd edition (no idea what is different) and is enjoying it. He's a 5th grader but really loves Latin. The workload ramped up considerably though as it should because it counts as a high school credit.

I didn't see the history part. The History Bee is much easier to pull off doing as you can qualify as an individual. You just have to do the option of the multiple choice qualifying test versus a school competition bee if the rules didn't change from the last time I looked at them. The website did get signicantly revamped, but it might be worth digging through as their rules are far more accomodating to individuals than the Geo Bee.

I only just noticed that this series was going on. Week 4 is starting on Wednesday and 5 is next week. 5 weeks total. Week 1 has 10 videos. They are up for free for 36 hrs. "Smart but Struggling Students" Free Online Master Lecture Series Begins Today here is the promo video and registration link https://brightandquirky.com/smart-struggling-students-registration/ https://vimeo.com/359989182/cefd74eb48

If you are talking about the Nat Geo Bee, homeschoolers are only allowed to participate if a homeschool association (this is a very loose definition, pretty much any sort of homeschool group would work). The tricky part is that a minimum of 8 privately homeschooled students must be compete. They must reside in the county or surrounding counties in which the assocation exists. Students can be 4th to 8th grade and may not turn 15 before 9/1. The organizer may not be a parent of the participating students Locally, it has been near impossible for me the past several years to get enough participation for us to get the 8 minimum students. Hope this helps!

Maybe the Hard Math series by Glen Ellison is worth looking at as well. And I would just buy the MOEMS books. Though if you mastered AOPS PA, the MOEMs problems aren't very challenging. However, what is nice about the MOEMS books is that full solutions are included.

Coming back to add that my son is not totally on his own with this either. We use the Order Out of Chaos planner which is fabulous in design for scaffolding organization in a visual way. We use this to organize his study for classes and work together to plan which days he sets aside for various tasks. We discuss for this subject how many days and how long should his planned study time be for this. This helps to spread out heavier and lighter studying throughout the day. This is the first year that we have now moved to taking notes from a textbook in a spiral notebook. Last year, I had scaffolded this skill with a prewritten outline that he needed to fill in specific information from his textbook.

I found that actually having my son take a study skills class over the summer has helped a great deal. It worked a lot better for him to be working on it amd discussinh challenges with other students rather than strictly me telling him this is how you should approach x,y,z. I would suggest that you consider WTMA's study skills course which they do offer during the fall, spring and summer. I had looked at that one which is aimed at 5th grade and up I believe. It's not viewable right now on the website since they aren't enrolling anymore for the fall. I opted for the Schole Academy one instead which probably wouldn't work for you as it is taught from a Christian perspective. Even then, every fall there is a big step up in what he needs to do in order to be successful at whatever it is that he really wanted to do. This is why Athena and OG3 classes were a much better fit and continue to be so when he was younger. I actually found that the physics course at Athena's worked much better for us beecause there wasn't grading I am careful to manage every year which classes he did with that high of a level of output. I have pretty clear convos with him that IF he chose to this particular class what the class expectations are before we signed up so that he could decide if that was something he would commit to. I would not sign him up for a class without that being that agreed upon expectation because when there are going to be times when he won't want to do it (especially in September) and I have to remind him about the importance of follow through and putting in your best effort. Those are specific to how our family works since that we emphasize especially in outside classes that the student to teacher retationship as two ways in terms of effort and commitment. I think ultimately it all comes down to what her long term goals are because that's how we get buy in is working backwards from where he wants to be and laying out the steps, skills, and commitment required to get there. Good luck. It's a challenge for all kids, gifted or not.

Another option is Arbor Algebra (3 books) for PA through Algebra if you like the discovery approach but don't want the firehouse that AOPS can be. My son thrives on AOPS and self-taught himself through PA. We took a pause to do Jacobs MHE and will likely do Jacobs prior to AOPS algebra as I have been won over by 8's idea of two passes through algebra experience. My son did Arbor's Jousting Armadillos and it was useful for the purpose I was using it for which was to transition away from BA and SM to reading a textbook and writing out solutions in a near and organized manner. It was easy compared to AOPS, but it focused on this key skill for us. We are doing MHE as part of this plan to not rush ahead, but we are taking time to explore math not normally coverd in the traditional sequence.

If you really like Singapore, you might want to consider Singapore's Dimensions math series. DM 6-8 would take you through from PA to Algebra in 3 years. AOPS isn't something I would suggest unless your daughter really likes math and would be okay with very wordy text with no pictures. Keep in mind it is written to target and challenge the top math students. It is also discovery approach which means you are supposed to make connections rather than be explicitly taught the material. It's thick book. More than 600 full size pages. Why don't you take a look at the samples in their online book version here: https://artofproblemsolving.com/store/item/prealgebra-ebook?gtmlist=Bookstore_OnlineBooks_Center And Dimensions math does come with HIGs and can be found here to look at samples. https://www.singaporemath.com/Dimensions_Math_s/339.htm

It's our favorite for elementary, but I would not use it at too young of an age. I taught the series starting from Ancient World at my co-op. 2-4, 3--5, 4-6 were the grades as I progressed through the years. The lessons are not exactly set up for a co-op because in order to finish the book in a year, you have to cover 2-3 lessons per week. I would introduce the lesson and do the labs. The students would go home and read over the lessons and do the discussion questions from the book. I designed my courses on google classroom so I usually linked concepts to videos online that went deeper or explained the target concept in an accessible way so that students who didn't completely grasp a concept were able to understand in a different medium. The lessons are laid on for home use by reading up to the lab which would explore the concept of the lesson without giving away the results which would answer the question being explored. Then the rest of the reading would more fully explain why you got the results you did from the lab. I use multiple science curricula fully, but this is my favorite by far. The concepts are definitely not watered down at all.

I'm waiting for her kids to finish with schooling as she has indicated she wants to teach more live classes on her own in the future.

The instructor for Blue Tent's live class is local to me in SD. She has a really good reputation here and has also taught at the local AOPS Academy.

That is the rub...you have to learn to write out your math, and you must be organized. I think this is a challenge for any 9/10 year old much less one who is 2E. Also, in BA5, we only did th first 2 books before my son asked to move one to PA. I didn't let him go straight to AOPS PA because of those issues. We took a side step and did Jousting Armadillos which was worth it simply for the discipline on working in a book that wasn't as fun, learning to read a text and learning to work solutions on graph paper so that anyone can understand your thinking. We started by refusing to accept his work if no work was shown. This made AOPS PA much easier for him. I'm pretty sure that contributed to why he was able to work through it in 10 months self-teaching. The math wasn't the issue, the EF skills required to move on were and my ds doesn't have 2E issues...just normal boy issues. I had decided that this was going to be when I would work with him on this discipline. I just did not want to continue to let him to do when it just gets that much harder the farther along you go. It's something that is easier IMO to learn now. It probably helps that my son likes competition math, and it's pretty hard to do that if you are really organized and writing out your work. Oh yes, legibility is something we have really be working on as well. He was making errors because of sloppy math. It's hard...I wish you all the best as you figure out a path forward. Oops. I didn't answer your question. I thought it was harder. BA5 covers a lot of algebraic thinking and pre-algebra topics. You are also forced to think a lot more abstractly about math since it is delving into algebraic thinking. So kids's brains are not quite ready to think that way. You might want to consider just taking a break and doing other stuff for awhile. We really liked using Zaccaro and Hard Math for Elementary.

+1 on dorms...for the reasons outlined above. It's a lot of time. 20-30 minutes one way to a campus where parking is readily available would be doable. Impossible for certain schools who have parking constraints. I have had friends with positive public transportation commuting experiences, but that is beause they were able to use the commute time to get reading done. Hard to do if you get carsick easily like I do.