I wonder if this is related to our youth culture, where we celebrate and expect our young students to make great achievements. https://www.huffpost.com/entry/why-30-under-30-lists-mis_n_4791178 "...but more recently, our cultural obsession with youth has shifted to focus more on success. " "...the media loves to focus on the achievements of young people -- and to tell us all the amazing things about being in your 20s." Young kids are celebrated for "creating nuclear fusion reactors" in their backyards, when the truth is at odds with what is reported. https://www.iter.org/newsline/-/1876 "Then why did the media get so excited? Because the juxtaposition of the terms "fusion reactor," "school lab" and "13 year old" make an irresistible mix when assembled into a headline. And because it's always exciting to pretend that a young student with his Christmas money can achieve what multibillion euro projects have yet to demonstrate." The reality that the real breakthroughs come from ladies older than me, like Jennifer Doudna introducing the world to CRISPR https://en.wikipedia.org/wiki/Jennifer_Doudna after working in labs for decades before her breakthrough.

Including larger numbers, you will see that every multiple of nine has a digit sum that is also a multiple of nine. is a multiple of nine and its digit sum is . We can prove this for digit numbers, but the proof works for any number of digits. Let be a digit number, with in the thousands place and so on. Cleverly rewriting these multiples of as one more than a multiple of : And then distributing and rearranging the terms: Note that the first 3 terms are all multiples of . In order for the original number to be a multiple of , then the final terms, must also be a multiple of . Those last terms are the digit sum of our digit number .

Everyone loves a redemption story. (Something for her to think about when she enters film school.) Applications may even specifically ask for an essay on the topic of overcoming a challenge or failure. In any case, your student should write about what she learned from the experience. Did she over extend herself? Did she change her study habits going forward? Did she need to read RMP first? 😉

I've been burned before where we've heard students complaining about a certain class being time consuming and it just ...wasn't. My dd took AP Chem w Mr. Moskaluk and she didn't spend that much time. This was many years ago but I think Mr. M recommends students either read the textbook or watch the videos. (I may have this confused with her AP bio class.) In any case, it certainly did not take 5 hours/day. If you are wondering if AP chem is right for your student ask yourself: 1. Does my student have the EF skills to not fall behind? Every week is another deep dive into a totally separate topic. You do not want to fall behind. Get started on assignments as soon as they are posted. 2. Is your student comfortable asking for help online? My dd "competed" with other high achieving students in the class to ask detailed clarification questions nearly as soon as assignments were posted. Doing so allowed her to receive effectively 1:1 teaching from Mr. M. She was always amazed at another student who so quickly completed assignments and asked follow up questions.

I'm pretty sure Harker does.

Really? That's your take on students who are well-prepared for college work? Why are successful students metaphorically equivalent to vomiting? Why do we criticize students and throw disgusting epithets at those who study and earn A's in their classes?

Because colleges are becoming so lax in passing on their students, companies themselves have admissions exams before they interview or offer jobs. https://blog.tryexponent.com/how-top-tech-companies-interview-software-engineers/ "Google first has new software engineering candidates complete an online assessment before their phone screening. Candidates should expect to answer coding questions on a shared Google doc. They are not only seeking candidates who can write fast, error-free code, but those with ingenuity, strong problem-solving skills, and adaptability, along with culture fit." "Amazon's on-site interview will involve several rounds of technical interviews consisting of many coding and system design questions." "The process consists of an initial phone screening, a coding test, and an on-site visit with several rounds of interviews." (Microsoft) "First and foremost, Facebook hiring managers ask their candidates to complete one or more coding exercises. The coding questions are short or simple enough to answer and explain within a 30-minute window." For software engineers, these phone interviews are technical in nature. Candidates will be asked to code in a collaborated online document while discussing common technical problems experienced at Dropbox. These screenings are used to evaluate a candidate's CS fundamentals, problem-solving skills, and quick thinking." Anecdotally, I've heard the College Board is moving toward designing admissions exams for obtaining corporate jobs since a college diploma seems about as worthless as a high school diploma.

Thanks, Lori. What are some examples of common fonts?

Wow, that's really tempting. I would love to be paid (and receive free tuition) to learn something new.

This sounds like a good question for other homeschoolers in your state. In California, we don't have this requirement unless you are applying UCs and even then exceptions can be made. Either mention your location in this thread, or consider contacting homeschoolers local to you.

Are you located in California? I think you need to include a transcript from every school of record that your student attended during high school. So you'll have a transcript from the charter for grades 9-11, and then she will have enrolled in your PSA school for 12th grade and you will issue a transcript for that year. My student did PSA all through high school and we had many vendors she took classes with including CC, PAH, and Stanford OHS. But those were 1-2 classes per year and were not the school of record where she was enrolled full time. So I had my main transcript, but I also appended the supporting transcript docs from the other vendors.

If it was a community college fencing class with way too much homework it would be a dule-causing dual-enrollment duel class. https://www.thefreedictionary.com/dule

Maybe the student was enrolled in a community college fencing class? https://www.vocabulary.com/articles/chooseyourwords/dual-duel/

The only reason I have a job is the AoPS online help is so bad. I'm on standby for homework help for many students who take AoPS online classes. You forgot that while you are waiting for feedback after having tried a through k, someone else has joined the same discussion thread with an unrelated question. I actually saw a thread where the TA changed the variables resulting in everyone being confused.

I agree with @ChickaDeeDeeDee. Technically with the online classes you are supposed to do all the exercises in the textbook before coming to class. That way you are prepared for lecture. But then...what do you actually learn in lecture? There is a discussion board where you can ask questions of the TAs. I think that works a lot of the time. Except when it doesn't. What I've seen is discussion board threads about a problem, where you have multiple students chiming in with questions, and multiple TAs responding to students individually. Sometimes students reveal the answers before they are wiped by the TAs. But with the tricky problems you'll see crossing wires, changing variables, and all kinds of confusion. Every week (or maybe it's only every other week now?) they offer a so-called "writing problem" where you submit a detailed solution and a human will grade it with feedback. This is actually very nice, as students learn a bit of Latex, but mostly they learn how to communicate their thinking. I kind of hit a wall with the intermediate texts, particularly with the Putnam level problems, where even the solutions were beyond me. I was okay to just write those off. I figure if they are able to solve the more basic problems, then they were okay. (My kids were not the type to take the Putnam anyway.) The other advantage of the online class is that if your student can keep up, you'll know that at the end of 12 weeks or 24 weeks or whatever, your student will be done with the class. We were never in a hurry and we prefer to go at our own pace, so this was not helpful for us, and so we never used their online classes for core math subjects, but only used the textbooks. The only online classes my kids took were the contest prep classes which have less homework, don't use a textbook and are generally more fun.

OMG, our local high school had clearly hired elderly community members to proctor the AP exams. It was a total mess. One old lady lost her voice, and inexplicably, they sent HER out to bring in the kids who were on break between the 2 physics exams. They also started the second exam of the day way way late and apparently there's a rule (I'm not sure if this is true), that if an exam doesn't wrap up by a certain time it doesn't count. Can't they hire professional proctors who know what they are doing?

A flexible elective would be work through the challenges of hackerrank. They are fun and he can work at his own pace.

OMG, I totally did this. When I finally realized that high school teachers will assign a specific textbook by a specific author for even a specific publication year, I stopped buying high school level textbooks when my kids were in middle school 😁 I made a new rule for myself to not buy anything unless I had an immediate plan to use it.

I ran a homeschooled MOEMS team, and it was lovely. Easy to schedule (1 hour per month) and they send you a nice package of awards at the end of the season. The folks at MOEMS HQ tend to be a bit annoying to homeschoolers because we have additional paperwork, but if you keep your head down, they are otherwise mostly agnostic.

I got the same answer, for 1 solution. So no valid solutions if a>0.

The APUSH class taught Mrs. Richman at PAH is solid. My dd took it, enjoyed it, and earned a 5.

Ermagerd, SO CUTE! I'm totally qualified, BTW. "Who's a good boy??"

I used to accept venmo payments for my tutoring business. It had a nice interface and was easy to check whether folks had paid up. Now they ask for a cut of the transaction when exchanging money for goods/services, similar to the paypal policy. I now ask people to pay me with zelle as there is no transaction fee. But tracking payments is less convenient because my only notification is via text message. It works, but I prefer the accounting provided by paypal and venmo.

Another favorite quote: "They don't know Polish. I don't know Polish. And they will all get 5's [on AP calculus]." So true!

I'm just glad you could read the slides. I'm having trouble getting my images to appear on my WTM posts.