And just for fun, here are the challenge problems and a sidenote from the end of the chapter 7 (which is titled "trigonometry and complex numbers")

https://i.imgur.com/NwvmqTv.jpeg

https://i.imgur.com/zS4GqPL.jpeg

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

AoPS has hard problems, but they focus on pure math puzzle problems, not engineering applications. You miss a lot if you only do AoPS.

A word problem by definition is an application of mathematical concepts. As long as it highlights the how the math is used, it doesn't matter whether it's about engineering, horses, or flying sheep. I will also dispute your claim about missing a lot. It's far more likely that the opposite is true, where there are many ideas found in AoPS which are not taught in the school classes.

likely when compared to base schools, but TJ rigor and application is at a whole different level.

The rigor is definitely not on a whole different level. TJ Math 5 is simply equivalent to a good honors precalculus course. The below link contains the contents of recent TJ Math 5 sessions from the last few years. You can look at the material for yourself; you'll observe that most of the questions are standard one step type questions. TJ uses the Glencoe Precalculus book, which is fine but nothing particularly special. AoPS precalculus goes significantly deeper into the material by focusing on a lot of problem solving, unlike in Math 5. AoPS also covers complex numbers and linear algebra at a significantly deeper level. My impression is that the TJ math 5 curriculum tries to go too fast and wide, versus more slowly but in much greater depth. This is a general problem not just at TJ, but at most of the high school math classes. Many TJ students have had the same complaint about this.

https://onedrive.live.com/redir?resid=9B3FCA6FFAE0933B%213434&authkey=%21AB6EG-ZEnPtkz0Y&page=View&wd=target%28Unit%205-%20Polar%20Coordinates%20and%20Functions.one%7C1a3e2cd3-3275-48bc-9100-4f1fcdb65aa6%2FPd.%206%20DeMoivre%27s%20Powers%20Theorem%7C5c4f2deb-4f22-6b47-9797-cee590c3158b%2F%29&wdorigin=NavigationUrl

For comparison, here's a screenshot from the end of same section in the AoPS precalculus book, unit 7.1: https://i.imgur.com/znYloVj.jpeg

It's clearly in another league from TJ. I'm not sure whether to be impressed with AoPS, underwhelmed by TJ, or extremely disappointed with all the other "honors" precalculus classes (or worse, "AP" precalculus). Probably the first.

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

AoPS has hard problems, but they focus on pure math puzzle problems, not engineering applications. You miss a lot if you only do AoPS.

A word problem by definition is an application of mathematical concepts. As long as it highlights the how the math is used, it doesn't matter whether it's about engineering, horses, or flying sheep. I will also dispute your claim about missing a lot. It's far more likely that the opposite is true, where there are many ideas found in AoPS which are not taught in the school classes.

likely when compared to base schools, but TJ rigor and application is at a whole different level.

There's no need to speculate, you can find excepts here:

https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/products/precalculus/exc1.pdf

https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/products/precalculus/exc2.pdf

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

AoPS has hard problems, but they focus on pure math puzzle problems, not engineering applications. You miss a lot if you only do AoPS.

A word problem by definition is an application of mathematical concepts. As long as it highlights the how the math is used, it doesn't matter whether it's about engineering, horses, or flying sheep. I will also dispute your claim about missing a lot. It's far more likely that the opposite is true, where there are many ideas found in AoPS which are not taught in the school classes.

likely when compared to base schools, but TJ rigor and application is at a whole different level.

The rigor is definitely not on a whole different level. TJ Math 5 is simply equivalent to a good honors precalculus course. The below link contains the contents of recent TJ Math 5 sessions from the last few years. You can look at the material for yourself; you'll observe that most of the questions are standard one step type questions. TJ uses the Glencoe Precalculus book, which is fine but nothing particularly special. AoPS precalculus goes significantly deeper into the material by focusing on a lot of problem solving, unlike in Math 5. AoPS also covers complex numbers and linear algebra at a significantly deeper level. My impression is that the TJ math 5 curriculum tries to go too fast and wide, versus more slowly but in much greater depth. This is a general problem not just at TJ, but at most of the high school math classes. Many TJ students have had the same complaint about this.

https://onedrive.live.com/redir?resid=9B3FCA6FFAE0933B%213434&authkey=%21AB6EG-ZEnPtkz0Y&page=View&wd=target%28Unit%205-%20Polar%20Coordinates%20and%20Functions.one%7C1a3e2cd3-3275-48bc-9100-4f1fcdb65aa6%2FPd.%206%20DeMoivre%27s%20Powers%20Theorem%7C5c4f2deb-4f22-6b47-9797-cee590c3158b%2F%29&wdorigin=NavigationUrl

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

AoPS has hard problems, but they focus on pure math puzzle problems, not engineering applications. You miss a lot if you only do AoPS.

A word problem by definition is an application of mathematical concepts. As long as it highlights the how the math is used, it doesn't matter whether it's about engineering, horses, or flying sheep. I will also dispute your claim about missing a lot. It's far more likely that the opposite is true, where there are many ideas found in AoPS which are not taught in the school classes.

likely when compared to base schools, but TJ rigor and application is at a whole different level.

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

AoPS has hard problems, but they focus on pure math puzzle problems, not engineering applications. You miss a lot if you only do AoPS.

A word problem by definition is an application of mathematical concepts. As long as it highlights the how the math is used, it doesn't matter whether it's about engineering, horses, or flying sheep. I will also dispute your claim about missing a lot. It's far more likely that the opposite is true, where there are many ideas found in AoPS which are not taught in the school classes.

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

AoPS has hard problems, but they focus on pure math puzzle problems, not engineering applications. You miss a lot if you only do AoPS.

*TJ 4/5 content, not 5/6

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

Have you tried working through Math 4&5 problems as well? Aops precalc maybe more indepth on certain topics, but are all of math 4&5 topics covered? Limits, logarithm, etc?

AoPS is certainly same or more "rigorous" as TJ math, if you do the work.

AoPS covers logarithms in Intermediate Algebra (Algebra 2), and Limits in Calculus.

A student who skipped AoPS Algebra 2 and didn't do the beginning of AoPS Calculus would be missing TJ 5/6 content.

AoPS classes do not have grades like TJ, and rely on the students own motivation to do the work, so a student who merely "took the class", especially a summer cram version of the class, and especially after skipping Algebra 2, is not likely to be well prepared for TJ Calculus.

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

Have you tried working through Math 4&5 problems as well? Aops precalc maybe more indepth on certain topics, but are all of math 4&5 topics covered? Limits, logarithm, etc?

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

On what basis do you make this claim? I have worked through a large number of problems from the AoPS precalculus book. Many are very difficult, drawing from AIME and other past contests. A select few are from USAMO and/or other olympiads.

Anonymous wrote:

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

What sort of questions would a TJ 4&5 student be able to answer (or what concepts would they be familiar with) that an AoPS precalculus student wouldn't?

Anonymous wrote:

Anonymous wrote:
Why did you take Math 3 this year after already taking Precalculus last summer?

I thought my child wouldn't be able to handle geometry over the summer, so I didn't sign him up. But he quickly learned geometry over the school year during 8th grade, and learned algebra 2 in the second semester of 8th grade year.

I'm not sure why I didn't sign him up for summer algebra 2 but I didn't, and instead enrolled him in AOPS precalculus during the summer after 8th grade.

AoPS precalculus is not as rigorous as TJ math 4 & 5. Without TJ math 4&5 or tj calc ab, taking on Tj calc bc may be challenging

Anonymous wrote:

Anonymous wrote:TJ has no math skip tests. shut this thread down

That is not true. Student's can skip levels, and many do. Most frequently skipped levels - Math 2.5, Math 6, Calc AB

This is silly. To be "skipped," a class needs to be required, or close to it. The sequence of math courses at TJ is simply 1-2-3-4-5-AP calc (AB or BC).

Math 2.5 is an optional class for students whose middle school math classes may not have prepared them well enough for TJ-level Algebra II (i.e., Math 3). Most students don't take it, and even students for whom it's recommended can ignore the recommendation. Not taking it does not mean "skipping" anything.

Math 6 is an optional class for students who want an easier introduction to calculus prior to taking AP calc, and/or have a semester to fill after taking Math 5 and before the next fall semester. Most students don't take it. Not taking it does not mean "skipping" anything.

Calculus AB is not a prerequisite for Calculus BC. The College Board themselves state that the recommended preparation is the same for the two courses. Some schools may require AB before BC, but most, including TJ, do not. Not taking AB does not mean "skipping" anything.

https://tjhsst.fcps.edu/node/3332

Anonymous wrote:TJ has no math skip tests. shut this thread down

That is not true. Student's can skip levels, and many do. Most frequently skipped levels - Math 2.5, Math 6, Calc AB