I'd go with: Step 1) Find an example of each one and have your kids listen and see if there's anything that they 100% hate. Like, if someone says "that guy's voice is like nails on chalkboard", that's not a good one even if it's otherwise awesome. Step 2) Pick the cheapest one that they don't hate. I only know the first 4 but none of them are bad.

Here's a site with pretty much all the log rules you need to know, including their derivations (very useful to work through, because it stops you from making brain blips and doing Stuff That Isn't True). There's a link on there to a lesson on how to use the properties but you can also google 'logarithm properties worksheet' and find a practice worksheet with examples. Khan probably has some good stuff as well but I really like being able to go through the definitions. All my students want to write log (a + b) = log a + log b :/ http://www.onlinemathlearning.com/logarithms-properties.html

You can find recipes for them in older American cookbooks as well. I have no idea why they went out of fashion as I find them delicious as well. I used to visit the uk more and frankly some of the things I really miss are meat pies, scotch eggs, and mince pies. :P

Comfort food that can be eaten with the fingers and not make a mess. Cookies would probably be my go. Something like oatmeal raisin or large soft molasses (or chocolate chip I guess if you're not me). Cupcakes seem too festive.

Freezing them doesn't work when it's something that tastes good frozen.

I see a fair few of these coming through my college. Unfortunately, they usually haven't realized how far behind they are until they actually get admitted (they have been admitted based on their parent-made transcripts). Can they catch up? I'm sure it's possible. One did a few years ago. Do they? Usually not. Often they end up changing majors to something that requires less math, because right now even remedial math classes are not designed for adults who have never been exposed to the material, but rather people who learned it in school, but incompletely. As a result, they proceed (imo) at too rapid a pace to build the needed automaticity for someone who's never been exposed to the material in the first place. Accordingly, people with *extremely* weak backgrounds tend to take multiple attempts at the lowest level of remedial class, and even after passing that struggle with the next class because they just aren't automatic at it -- they need to stop and think about how to solve something like '2x = 6'. This accelerated pace is becoming more and more standard as increased levels of math instruction become the norm for most college students -- there simply isn't the large number of people who never took anything beyond pre-algebra or algebra 1 in school that there used to be, so more and more colleges are eliminating the arithmetic and pre-algebra classes that they used to offer, and some have gone past that and eliminated beginning or even intermediate algebra, and just putting everyone into college algebra. This can actually work if the student had learned the material once and either learned it incompletely or just forgot. An adult in this situation (knowing no math) would be far better off to find a private tutor (if at all possible) or some self-study for adult books (a book such as BCM and Khan Academy drill would be reasonable) rather than hurling themselves at the wall of developmental classes required. I will also point out that even if they do enter and the school still has those classes, and even if they take classes in the summer and pass everything on the first try, a student who places into arithmetic needs two full years to get to calculus, which means that if they're interested in a more quantitative field of study, they're pretty hosed. A high school student has a bit more time, but tutoring by someone who knows math would be ideal. It might work to be an intensely self-motivated young person who is able to self-teach -- again, I would recommend a book aimed at older students (for a bright student who reads well, BCM might work) over simply starting in 4th grade or so and proceeding through grade-level textbooks -- although something like the topical texts from math mammoth might work as well.

For what it's worth, I've always been wired this way as well, and it goes back to early childhood. Doing a great job and not having anyone to show feels terribly unsatisfying.

What about Coxeter's Geometry Revisited?

A lot of other people have had experiences like this. If you are positive that you are going to be entering him in PS when you get back, I would strongly encourage talking with the PS and getting in writing what their policy is and what he needs to do to be placed in 10th grade, before you teach him all of the mandatory 9th grade classes. It would suck for both of you to have him have to sit through the classes again when he's already passed the regents, and schools can be incredibly stubborn about this.

I am not sure if this will fit the bill, but has he read Gödel, Escher, Bach? Also, Stephen Hawking's books are very readable and excellent books if he hasn't already read them.

Calc I is usually differential calculus and about one chapter of integration. Calc II is usually integration techniques and sequences and series. On looking at Anton TOC, ch. 1-4 would be Calc I, ch. 5-7 and 9 would be Calc II, and most of ch. 8 would be covered in a diffeq class or possibly in an honors Calc II. Calc II might do separable equations at most (an engineering calculus class might be a bit different, my experience is with "standard" Calc I-II) For AOPS, ch. 1-4 and part of ch. 5 would be Calc I -- probably through 5.3.3, and then Calc II would be the rest of the book, with ch. 8 and 9 getting skimpy coverage at best. Calc AB is rather odd as it doesn't line up precisely with Calc I -- it covers two quarters of a three-quarter sequence (Calc A, B, C, with the same coverage as Calc I-II), so universities that are on semesters (the majority of them by now) will grant credit for Calc I but not II. Calc BC lines up well in coverage with Calc I-II or with Calc A/B/C, providing one full year of university calculus if the student has thoroughly grokked the content. Frankly I would give him credit for Honors Calc I and Honors Calc II because of all the extra topics, but you can at least thoroughly justify Calc I and Calc II, or if you'd prefer, Calc AB and Calc BC. He has definitely covered everything that would be in there.

Oh I forgot. Anything SM Stirling writes. I mean I preorder his stuff in hard cover, and I ONLY do that for his books. I absolutely love his worldbuilding ideas.

I just pretend those never happened. Like the last Jean Auel book. They were just such an incredibly terrible departure.

George RR Martin's Song of Ice and Fire. I got all five at once and read them all in two days. Couldn't sleep because I couldn't wait to find out what happened.

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. My big issue with it is that a lot of students who are "applying the rule" and don't understand the rule will look at something like 3-4+5 and say "Well, I do addition before subtraction, so 4+5 is 9 and then 3-9 is -6".

It's also going to depend on how long you're willing to take. Like, if you're planning on scheduling both books over a couple of years, that's probably a great idea, and a lot of people have done geo/alg 2 with various curricula. If you're planning on getting both done within a year, that could be unreasonably ambitious.

As long as he's well-fed and in good health I really would not push it. I skipped breakfast for years and felt awesome. Life circumstances dictated a change but I miss it. If he starts losing weight he can't afford to lose I'd revisit it then.

I would eat them but I would steam them and mash them rather than baking them because baking will dry them out worse.

I had a minor tear with a little chunk of broken off cartilage which is what was causing me problems. Recovery was 100% uneventful and I was training martial arts 3 weeks later, and 5 weeks later I couldn't even tell which knee had been done without looking at the small scars.

Absolutely test through it. If you feel that some easy work would build her confidence (this works for some kids and fails for others), it's okay to do some work through it as well, but I wouldn't spend the full time necessary to go through every lesson.

Frankly I always had that attitude (personally) about people buying or giving me things, and the only thing that got me to start accepting was my friends explaining that when they were in college, people gave them things, and they were paying it forward, and I should pay it forward when I had a job. I'm working on that now.

Aviation science classes online -- http://www.aeroscholars.com/index.html Or astronomy would be a great choice too. Meteorology is another great elective -- when I took it at the CC a lot of the people in it were people in the aviation program at the CC.

Well, the reason my relative didn't raise a stink is because when they pointed out "look, these 24 credits are included in the AA you want to do anyway, just fill out this form" he decided it was easier that way. But I do agree about this obnoxious stance. Especially the "no amount of aptitude test scores can make up for not having a GED", which is the most stupid of all.

It isn't unusual and used to be more common for PS to have an Algebra 1a and 1b class which covered algebra 1 over 2 years. So one logical way to transcript it would be to do algebra 1a, 1b, 2, geometry (doing the first half of adv math as a senior). The (ps) transcripts I evaluated gave a credit each for algebra 1a and 1b. And I wouldn't worry about making the books precisely match up, just take 4 years to get through all 3. I wouldn't take time off math though (and start in the fall halfway through a book), but rather do something like work year-round doing 1/2 lesson per day. edit: corrected transposition of numbers

Can verify that students graduated out-of-state are subject to the same regulations. A relative of mine had to go through the 24-credit thing. For what it's worth, other former homeschoolers with a mom diploma I know have had issues with inability to get into a trade school (school would not budge under any circumstances) and a different one turned down for a specific job (he found a better one the next day though). These were people whom I know personally. It's rare enough that I wouldn't be super worried but I have seen it happen. I would feel, though, that that bridge could be crossed at a later date -- if you run into a trade school that absolutely refuses to budge and you don't feel like trying the lawyer route, you can take the GED then (which is what that person ended up doing) to get admittance.