I wish my credit card company were that good at spotting fraud and distinguishing it from legitimate purchases. I travel spontaneously all the time and I have had to shut off the geographic protection because every time I filled my vehicle with gas it would shut it off and I would have to call to get it reinstated. They do not call me, they just shut it off. As a result I check daily to see whether any charges have gone through that I did not authorize. It has never happened yet but it is just part of my morning routine.

I went to a major city on vacation and took a day to go to a specialty bra shop. I needed either a 32G or a 34F depending on brand, and they were very helpful with bringing me bras to try on. I recommend looking for a specialty shop if you can.

As far as the "polio cases caused by polio vaccine" that I did not see an answer for, it is absolutely true that the oral polio vaccine can cause polio in a very small minority of cases (something about one in 750,000 when I last looked). However, the oral polio vaccine is significantly more effective, so in places (such as Nigeria and Pakistan) where wild polio is still a problem, we use the more effective vaccine with the very small risk of actually giving a child polio. In places like the US where exposure is quite unlikely anyway, we use the inactive polio vaccine instead. Even though it is slightly less effective, it is still enough to keep enough of the population immune that any imported case would have difficulty spreading to become an epidemic.

Totally fine, but I'd continue at least working on review on an alternating-day schedule so that it really is simmering and not just disappearing.

I'd do it anyway, and I also agree with hornblower.

It was well known that an eager young bride could accomplish in 5 months what took 9 months for cow or countess.

Ok, here's my suggestion then: Have your dd make a photocopy of the test before she sends it and put the photocopy in an envelope. If they say she's failed, THEN you open the envelope and check through it for yourself. This at least will result in you not having grounded your poor dd for a week for something she didn't do (not being accusatory here, I would feel terrible if I punished a kid for something they didn't do based on misinformation, I assume you feel similarly), but you won't be tempted to make her do her tests right since you won't have seen it unless there's a problem.

If he passed the placement test I would put him there.

If vaccines actually conferred immunity on 100% of people, there really wouldn't be *that* much of a problem. But they have known failure rates ranging from <1% (for measles) to significantly higher -- for example, pertussis was something like 80% (edit: 80% effective, not 80% failure!) last I looked, and wears off a lot more quickly. This can actually make it look like the vaccines are ineffective -- for a specific example, suppose that 100 people are exposed to a highly contagious disease, for which a vaccine exists which is 90% effective. Suppose further that 90 of those people are vaccinated, while 10 are not. (These numbers were chosen for ease of computation). Of the 90 vaccinated people, about 9 (of course, this varies, because these are probabilities) will be vulnerable to the disease and become infected, along with the 10 non-vaccinated people. To a non-statistician looking in, it is quite likely that they will see that 9 vaccinated and 10 non-vaccinated people got the disease, and conclude that the vaccine really didn't do anything -- ignoring the 81 vaccinated people who did *not* become infected. Additionally, children who are too young to be vaccinated are still vulnerable to infection, and there are other people who can't be vaccinated due to allergies, compromised immune systems, or other reasons. If I had a small baby near an outbreak, I'd be keeping them at home constantly if I possibly could, and I'd be super paranoid if I simply had to put them in daycare because I needed to work.

The alg 3 topics are not covered in aops precalculus. The precalculus is the geometry/trigonometry part of calculus, along with some vector/3d geometry topics that are not usually taught until multivariable calculus.

Yep. I do crockpot meals or the last of the leftovers on grocery shopping day, and the crockpot is in before leaving.

Covers the algebra part of pre-calculus as well as some topics which are frequently deferred to calculus. If the student has done AOPS beginning algebra and then does intermediate algebra I would just call them algebra 1 and 2 to make it simpler and not worry about whether the scope and sequence lines up just right. If they have done algebra 2 with a different program and need the credits I would be more inclined to call it "college algebra" (if it is the only math class done that year) or combine intermediate algebra + precalculus and call them precalculus together. There are other names that you could come up with but this will be familiar to admissions officials at universities.

I would really recommend against trying to skip a year in math to avoid purchasing a book. It's like buying shoes that are a size too big so they won't grow out of them as fast. Currently I see the student book used for $30 on amazon. If finances are enough of an issue that that also is out of reach, I'd ask around and see if someone has one they are not using right now that they could lend you.

I would recommend strongly against it. What are your motivations for doing this? I would have no qualms at all about allowing him to take the tests for 7/6 and then backing up to start wherever he stops getting A's in the 7/6 tests.

I'd plan the courses so that either option was open, if possible.

At a lot of schools, the student is free to ignore their advisor after the initial consultation and can add, drop, or whatever without their consent.

Exactly what I was thinking.

Why not just bake a really big cookie and ice it? Like they do at the grocery store, flat all over?

I'd schedule your own science on the days they aren't there. Quite honestly as long as they're learning reading/writing/math I think they're going to be fine, and I'd focus more heavily on that on days they're with you since you mentioned they're a little behind anyway.

AOPS still recommends the texts after the first 11 chapters of intro algebra, but on their class recommendations website they say: Those students who have completed a rigorous Prealgebra program, such as our Prealgebra 1 and Prealgebra 2 courses, are ready for our Introduction to Counting & Probability and Introduction to Number Theory courses, although most students take these courses after finishing Algebra 1. I thought both these topics were so much fun and so interesting when I took my first class in them.

Honestly, I lost weight when I *quit* eating breakfast. After eating breakfast, whether it was high fat/low carb or high carb/low fat or lots of volume and little calories, I'd get hungry a few hours afterwards. It did.not.matter.what. I tried pretty much everybody's suggestions. Without it, I usually get hungry about 2, I have a solid lunch, a hearty dinner, and go to bed feeling nice and full, which helps me sleep better. I've been maintaining here now (60 lbs down from max, healthy bmi, healthy bodyfat %) for quite some time without tracking calories. I do eat breakfast if I have a heavy exercise day (such as hiking) planned as I need the extra calories on those days. The really important thing is to find where you and your body are happy and you can still lose weight. For some people, not eating breakfast really sets them up for overeating. For other people (like me) it just sets me up for additional eating. I recommend tracking for a month or so, so that you can see where your excess calories are coming from.

I really wouldn't do MUS precalculus in that case. It is going to teach her a lot of trigonometry that she will not use, either in business calculus or in everyday life. I would look into a college intermediate algebra textbook as that should segue into the business math nicely. It will cover most of the same material as the MUS algebra 2, but with a more standard level of challenge. I think the review would be good for her and better prepare her for the placement exam.

Not yet, but I'm seriously considering getting a titer done. I'm not 40+ yet, and I had the full series as a kid, but I have frequently not developed immunity when I should have -- had chickenpox at 4 and again at 8, and pertussis vaccine also wore off far sooner than it was supposed to.

Business calculus usually does not require a full course in pre-calculus, but rather has a prerequisite of college algebra. This is because the models that it deals with do not involve trigonometry. For business math, is it called that? What is the listed prerequisite? Is the prerequisite college algebra or intermediate algebra?

I think game theory could be very relevant to someone who wants to study history -- it's got a lot of applications in economics as well. BTW, I also thought math was easy but tedious, and was minoring in it because I needed a minor and the classes were easy. Then I took discrete math, which was the introduction to proof class at my school. I loved it. Halfway through that semester I changed my major to mathematics.