If kids don’t have the required test scores and demonstrate ability, they aren’t getting in. So the parent has to fill out forms, big deal. That could be solved with a teacher recommendation. Besides, the likelihood of a 5th grader who is capable and ready to move on to Alg I having totally uninvolved and checked-out parents is slim to none. |
ya the story sounds plausible the world isn't always how we imagine |
Yep, I piled on, too. My DC did BC in 10th, I'm not anti-acceleration, but eight-grade mom who thinks an extra year of CC is a golden ticket needs a talking to. |
Sure, but people here seem to have more fantasy around stem talent. Everyone's happy for the spelling bee kids, but we know they're unlikely to become literary giants. |
Being placed into more advanced college classes doesn’t mean anything was taken twice. Although schools that don’t allow placement out of their intro courses are sometimes the ones with the most advanced students; their “intro courses” just go deeper, covering more complex problems and/or proofs, at a pace not possible if seeing the material for the very first time. |
Wrong, more mature students can handle that pace the first time round. It's exactly the accelerated HS students who are more suited to grinding out problem sets than proofs. |
Top colleges do say they want advanced and rigorous coursework. In STEM that means taking AP Calculus and Statistics, plus APs in sciences. Regardless of what colleges say that’s a good foundation for those intended majors. You can probably be fine with BC only in 12th, but doing it in 11th helps, because you can take concurrent Physics C and submit scores part of the application. That means Algebra in 7th, if you don’t want to take summer/compacted which are not ideal. In the end it’s a 2 year acceleration. More acceleration than this and it’s diminishing returns, better focus on other areas like extracurriculars. |
Is that valuable for the students’ learning? Perhaps develops their critical thinking skills? |
It’s certainly not wrong that certain prestigious tech schools require every incoming student to have taken a full year of calculus in high school to even be eligible for admission, but still start everyone off in single variable calculus because their introductory calculus goes deeper than what’s expected in an AP curriculum. It’s also not wrong that other prestigious schools allow students to place into more advanced courses. In both cases there’s benefit to the student that’s taken an accelerated math track in high school. |
| Did anyone’s school max out at AB or BC and take multivariable elsewhere, maybe during the Summer? DC’s school is smaller, and I think they just don’t have enough students to support a course. Thank you for any information. |
Yes, but also those schools just consider the baseline AP Calc BC curriculum an inadequate treatment of the topics. |
It doesn’t directly answer your question, but even if your school’s last calculus class is BC, they might offer additional math courses of value. AP Stats is a good example. Or maybe a course on mathematical reasoning that focuses on proofs. More calculus beyond BC isn’t the only attractive strategy, in other words. |
DP with a similar question. DC is taking BC in 11th grade at a private school next year. DC has a nearly perfect grade in advanced precalculus, so I'm hoping that BC will be a healthy/successful challenge. The school offers linear algebra as the only post-calculus "track" class. Also AP Stats is an option. While linear would probably be considered the highest available math for AO box checking, I suspect that AP Stats would be more practical. I don't think there would be room for both classes in DC's schedule and summer isn't an available option. DC really likes math and has intermediate python skills. What am I missing? What are the practical applications of linear algebra? Thanks. |
The students who do best in these proof-based courses are accelerated to the point that they did real proofs in highschool. The ones in the middle were only moderately accelerated, so they know some of the material and can focus on the new material, the abstractions, and proofs. The ones who do the worst are those who were not accelerated - those who got a 5 in AP precalc or AB or, in some contexts, BC and told by their schools that it's enough for college. |
Read the book "When Life is Linear": "From simulating complex phenomenon on supercomputers to storing the coordinates needed in modern 3D printing, data is a huge and growing part of our world. A major tool to manipulate and study this data is linear algebra. This book introduces concepts of matrix algebra with an emphasis on application, particularly in the fields of computer graphics and data mining. Readers will learn to make an image transparent, compress an image and rotate a 3D wireframe model. In data mining, readers will use linear algebra to read zip codes on envelopes and encrypt sensitive information. The books details methods behind web search, utilized by such companies as Google, and algorithms for sports ranking which have been applied to creating brackets for March Madness and predict outcomes in FIFA World Cup soccer. The book can serve as its own resource or to supplement a course on linear algebra" |