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Is OP's DD wanting to take algII for acceleration purposes or for personal enrichment purposes? It sounds like the latter, in which case an outside enrichment (RSM or AoPS) seems like a better fit.
If the former, other posters have posted concerns with acceleration without depth, or acceleration for acceleration's sake... Accelerating through Algebra II without depth will get students in trouble in precalc and calc. |
Kids in the SMCS magnet and Poolesville and Blair do this. They then offer linear algebra and vector calculus which give direct transfer of credit and grade to UMd. Not sure what is offered at other schools. |
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Is this necessary for a top 20 or 50 school? Will starting in Algebra II or Geometry really make a difference?
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No one can tell you this. |
No. However, for students aiming at STEM major, which op's DD seems to be interested to major in, fast-track math means getting AP physics C and Calculus BC credits in 10th or 11th grades, and maybe a couple of other STEM AP courses with pre-requisite. This adds some weights for college application. As said above in pp's post, practically you can save some $$$ for college tuition and graduate faster. For most kids that may end up in UMD or in-state public Univ., it's not a big difference, but it's a 50K+ difference for out-of-state private universities or those expensive public ones (e.g., UCB, UCLA, UMich, etc.) |
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Agree about either doubling up math classes, taking geometry in the summer, or taking Alg II outside of school and then asking to take a placement test. Be very careful rushing the upper grade math sequence especially if she wants to take Honors and AP classes. Honors Pre-Cal is known for being a struggle course.
It’s like Organic physics on the pre-med track. Some folks are going to be fine, some are going to work a lot harder, some are really going to need a tutor, and some are going to drop down to avoid failing. |
I wouldn’t take any advice from someone believing organic physics is a thing. |
Biophysical chem is a thing. |
Don't buy into the race to nowhere. BC Calc by 12th is fine for STEM majors. |
Noonien Soong would like a word. |
More commonly it's about getting more education in the the same amount of time. "Graduate faster" usually means getting a BA+MA / BS+MS or a double major or just having intro PhD classes done before starting. Leaving school early is for JD and MD because those schools give no credit for coursework done during undergrad. |
"My daughter is eager to delve deeper into mathematics" -- If this is fully true and not you influencing it, then don't bother with school math as she will likely not be challenged in a way that stimulates her interest. Your best bet as others have said, is to enroll her in AoPS class (either the live campus), or alternatively enroll in their online text based classes which are significantly cheaper. At a minimum, I highly recommend buying an AoPS book (with solution manual) for her and have her self study from her. If she finds the material eye opening, you may have a future mathematician/scientist on your hands. |