Math progression?

[swimmermom3]

My knowledge of how math progresses is based solely on what I did in high school: Algebra I, Geometry, Algebra II, and Precalculus/Trigonometry.

 

If Swimmer Dude is doing Foerster Algebra I in 7th grade along with LoF Beginning Algebra and we are taking our time, what does the progression look like over the next 5 years? Math is not his first love, yet he is careful to make sure he understands the concepts and he doesn't seem to be unreasonably stretched by the work.

[Storm Bay]

In my house, it looks like this:

 

Algebra 1, finished by the end of grade 7 age.

 

Algebra 1 again, this tme to really cement it and learn the theory

 

Geometry

 

Algebra 2

 

That's as far as we've gone, but the next thing would be Trig/pre Calc and then Calculus.

 

This is not the only way to do it. There is also Statistics. A few mom's of mathy students have posted some fabulous math courses they did in high school, but at least one of those mothers has a degree in math. You can also get some cool texts for advanced high school students from the AMS (American Mathematical Society.) My eldest wishes there was an AP Geometry course, but there isn't. I know there is more to Geometry as I've seen textbooks in the AMS catalogue, but it's not offered in ps high school that I'm aware of.

[regentrude]

You have many options. Here are a few:

1.You can take time and spend more time on each subject; some people take two years for algebra 1.

2. Continue the sequence and finish with calculus.

3. Cover topics not usually covered in the traditional sequence: number theory, probability, fractals... or group extra material and call it "Special topics in geometry" etc. Or add algebra 3.

4. Add a full course of statistics and probability - often done for kids who don't want to take calc in high school.

[creekland]

Both of my older two did Alg 1 in 7th. Here's what they did (or are doing):

 

Oldest - currently in college double majoring in International Development and Business:

 

7th Alg 1

8th Alg 2

9th Geom

10th Personal Finance & SAT Prep (1/2 credit each)

11th Pre-Calc

12th Calc

 

Middle son - current junior heading toward Pre-Med:

 

7th Alg 1

8th Geom

9th Alg 2

10th Pre-Calc

11th Stats (will take the AP test)

12th Calc (will repeat this in college)

 

His personal finance and any SAT/ACT prep are all extra - no credit is being given.

[Susan C.]

Can I piggy back this thread? We are doing Algebra 2 w/dd this year, 11th grade. We are using BJU and like it and dd is doing well with it. I am considering doing Algebra 2 again with either Lial's or Chalkdust for 12th grade (I can call it Algebra 3). Precalculus is HARD. When I homeschooled my oldest, when I saw his math, it really cemented it for me. I am wondering if another pass at algebra would be good? Ds did precalc. in 12th grade (homeschooled), we hopped back and forth between three curriculums, then he didn't do well at college. He didn't have a good enough foundation (or the aptitude, he is language based). Still think another pass at algebra for anyone couldn't hurt.

[katemary63]

My DD19 did:

9th Algebra 1

10th Algebra 2

11th Geometry with Algebra review

12 College Algebra at CC (only math needed for her degree, got an A)

 

My plans for DD9 who is advanced in math and wants to be a vet are:

5th Saxon 7/6 (doing this now)

6th Saxon 8/7

7th Algebra 1 (Saxon)

8th Geometry w/ algebra review (Jacobs? DD19 did well with it)

9th Algebra 2 (Lial's Intermediate, again DD19 used it successfully)

10th College Algebra at CC

11th Calculus at CC

12th What ever she needs for her degree at CC

 

I'm not sure why more kids don't just go to CC and earn credit for the advanced math classes they are doing in high school if they are good at math. It worked well for us.

[Susan C.]

Well, the calculus professor here is so hard that there are only six people in the class, and half of them fail.....

[regentrude]

I'm not sure why more kids don't just go to CC and earn credit for the advanced math classes they are doing in high school if they are good at math. .

 

That would work only if 1. it was guaranteed that the credit transferred to the four year school they wanted to attend, 2. that the CC course covered the same material and 3. covered it at the same rigorous level as the university course they would be placing out of.

I have students in my classes transfering from CC; they are often quite shocked about the level of work they are expected to do. I would not want my kids to have CC credit, even place out of the class, and find out in their calc 2 or 3course that CC calc 1 did not adequately prepare them.

 

That said, there is nothing wrong with taking a CC class in lieu of highschool - but I would be extremely cautious about using it to get out of introductory math (and science) classes at university.

[Teachin'Mine]

Here's what dd has done so far:

 

5th Saxon 8/7

6th Algebra I

7th Geometry

8th Algebra II

9th Advanced Math (pre-calc)

 

from here ?

10th Calculus

11th Statistics

12th ?

 

I don't think there's any problem with doing the usual progression early as long as there's understanding and mastery. Otherwise, take two years to cement algebra or other topics before moving on. If you have a CC nearby, then I don't think you're at all limited by what you can do in high school with having finished the usual courses earlier.

[creekland]

I'm not sure why more kids don't just go to CC and earn credit for the advanced math classes they are doing in high school if they are good at math. It worked well for us.

 

It would cost us $660 per course and then wouldn't be usable for our needs for college (for reasons regentrude posted). It's not worth it to us when there are far less expensive options.

[8filltheheart]

 

I'm not sure why more kids don't just go to CC and earn credit for the advanced math classes they are doing in high school if they are good at math. It worked well for us.

 

B/c not all math classes are created equal.

[8filltheheart]

My knowledge of how math progresses is based solely on what I did in high school: Algebra I, Geometry, Algebra II, and Precalculus/Trigonometry.

 

If Swimmer Dude is doing Foerster Algebra I in 7th grade along with LoF Beginning Algebra and we are taking our time, what does the progression look like over the next 5 years? Math is not his first love, yet he is careful to make sure he understands the concepts and he doesn't seem to be unreasonably stretched by the work.

 

You could consider adding alg 3 in his sequence:

 

7th--alg 1

8th--geo

9th--alg 2

10th--alg3

11th--pre-cal

12th--cal

 

My current 9th grader is in pre-cal following that sequence and it has been excellent. I'm glad he spent those months going through alg 3.

 

My dd that is a yr younger than your ds is doing MUS alg/geo this yr and will be doing Foerster's in 7th. I am pretty sure the above sequence is what I will have her take.

 

HTH

[elegantlion]

We're in a similar boat with ds doing algebra this year, grade 7. My current plan is:

 

8th - AoPS Number Theory and Counting & Probability

9th - Geometry (LoF)

10th - Algebra II (Lials or LOF Adv alg & Trig)

11th - Either statistics, AoPS Int Counting & Prob, or a pre-calc class

12th - Calc or statistics

 

I'd like to use the LoF sequence and if we get ambitious we might do LoF Adv algebra the same year he does Geometry.

[AngieW in Texas]

What my girls have done/are doing:

 

17yo

7th grade took Algebra I at ps (was a full-time student there that year), but the class was actually "how to use a graphing calculator"

8th grade Jacobs Algebra

9th grade Jacobs Geometry

10th grade Kinetic Books Algebra II

11th grade Larson's Precalculus (this is what Chalkdust uses)

12th grade one semester of Elementary Statistics and one semester of Trig at cc

She forgot all her trig when she did the math placement test, so that's where she placed. Trig will count for math for her and she'll be done with the math she needs for college when she finishes this course.

 

15yo:

7th-8th grade combination of Jacobs Algebra and Kinetic Books Algebra I

9th grade Jacobs Geometry

10th grade Kinetic Books Algebra II

*11th grade Lial's Precalculus

*12th grade calculus at home, but not sure which text we'll use, will probably take AP Calculus AB exam

* these are plans for the future

This dd will need higher level math in college for what she's likely to major in - cognitive or neuro science/psychology.

 

I like Jacobs Algebra and Kinetic Books Algebra I. They are both solid programs. I prefer KB.

Kinetic Books didn't have a geometry program when I was doing geometry with my girls.

I would love to use Kinetic Books for Precalculus, but they don't offer that level of math yet. I didn't like Larson's Precalculus, so I'm switching to Lial's for my middle dd.

[katemary63]

It would cost us $660 per course and then wouldn't be usable for our needs for college (for reasons regentrude posted). It's not worth it to us when there are far less expensive options.

 

Okay, I understand. My DD took her college algebra at our local CC, where classes do transfer to the local university she attends. It was all the math she needed for her degree and it was 50% tuition. I think it was over $300 but she got 3 college credits for it. Worked out very well for her.

 

My DD9 will take her math at our local university which she plans to attend for undergrad anyway. They give a concurrent high school student discount. Loads of kids do it. I guess it works out if you have the right university or CC near by. For us, we have the choice of either.

[Nan in Mass]

I can't remember whether CC is an option for you or not.

 

My youngest did/will do:

 

NEM1

NEM2

NEM3

Blitzer precalc (here now in 10th grade)

CC calc 1+2

CC calc 3+?

 

I'm not sure this is the best plan for an engineer, but I don't want to teach calculus, so this is how we are going to do it. He may not get all the way to calc 3. He may need to begin CC with some precalc, if we struggle and slow down this spring, or he may peacewalk another spring, thereby missing a semester of math. I'm not particularly worried because I suspect he may have to retake some calculus when he gets to engineering school, anyway. Hopefully they will have a placement test, since I keep hearing over and over how CC calc isn't the same as uni calc.

 

If CC is a possiblility, and you aren't worried about the quality impeding future math-heavy classes at uni, there is a strategy that some people on the accelerated board have done and liked well. When you begin CC classes, you begin the math sequence over again with college algebra.

[creekland]

Help with 9th grade probability?

if 3 marbles are drawn from a bag without replacement, containing 3 red marbles, 2 black marbles, and one green marble, whats the probability that the first marble is green, the second marble is red & the third marble is red?

5 months ago Report Abuse

Additional Details

here are choices

 

 

0, 1/60, 1/20, or 1/10

 

i have some knowledge of conditional probability but this problem stuck in my mind so i posted my problem...so please corporate and help me...!!!!!!!!!!

 

Probability is always the (chance of something happening)/(total possibilities). When you want more than one thing to happen, you need to multiply each probability to get your final answer.

 

So:

 

(1) The probability of getting the green marble first = 1/6 because there is one green and six total marbles.

 

(2) The probability of getting a red marble second = 3/5 because there are three red marbles, but only 5 total now that we removed one.

 

(3) The probability of getting another red marble third = 2/4 because there are only two red marbles left and only 4 total now that we've removed two.

 

Take your three results and multiply them:

 

(1/6) x (3/5) x (2/4) = (6/120)

 

(This means there are six possibilities for it to happen out of 120 total possibilities of what could be drawn. To "see" this pretend each red marble is numbered, 1, 2, and 3 and consider that you could have green, then 1, 2 or green, then 1,3, or green, then 2, 1, or green then 2, 3, or green then 3, 1, or green then 3, 2 -> 6 total possibilities. I'm not listing how you could get all 120 from all 6 marbles, but you get the idea.)

 

(6/120) can be reduced by dividing numerator and denominator by 6 and the answer should be 1/20.

Edited November 19, 2011 by creekland

[Candid]

I'm kind of mean. So my poor ds will continue to advance forward into college math if at all possible.

 

With my eldest math is not his first love, but he's good at it. So we finished NEM 4A this fall and then switched to DM Additional Maths. We won't worry about NEM 4B since that is review (might do it in prep before PSAT/SAT in 11th grade, we'll see). He's in 9th grade which leaves a lot of time to fill.

 

Our state allows 16 year olds to take cc classes for free but only STEM classes. They also require state unis to accept those as credits. Personally I'd rather deal with math and get 4 or 5 days of foreign language instruction, but that's another thread. The soonest he could take a cc class would be next winter.

 

My plans are somewhat murky as my first goal is to talk one of two nearby LACs to allow him to take foreign language at them next fall. If I can get them to do that, then we'll add math when it seems right. In the meantime, if we finish DM Additional Math, I'll pick up the text(s) for pre-calculus and maybe calculus that those schools use. I'd rather him get ahead and be bored in a college class than feel like the class is moving too fast. Although, I will be careful not to get semesters of work ahead, just a few chapters in is my goal. AND of course, he'll also be taking that foreign language.

 

If I go nowhere with the foreign language component, then I'll do the same with math with the local cc.

 

Is that all clear? Or just plain murky?

[Julie in MN]

My oldest was public schooled, but he took Algebra 1-2 in 8th, and so his math looked like this:

 

11th calculus at public school (independent study at that school)

12th calculus at the community college

1st year at college calculus 1 again

 

This was his decision. All were A's but he just wanted to cover all his bases in case there were different perspectives or something :tongue_smilie:

 

Julie

[Colleen in NS]

old thread

 

ETA: or apparently someone's post was deleted and that someone doesn't exist here anymore. So, should we not be clicking on that Conditional Probability link in Creekland's quote of geeknick?

Edited November 19, 2011 by Colleen in NS

[kiana]

old thread

 

ETA: or apparently someone's post was deleted and that someone doesn't exist here anymore. So, should we not be clicking on that Conditional Probability link in Creekland's quote of geeknick?

 

Right. geeknick posted several links to "blogs" with advertising while ostensibly asking math questions.

[swimmermom3]

old thread

 

ETA: or apparently someone's post was deleted and that someone doesn't exist here anymore. So, should we not be clicking on that Conditional Probability link in Creekland's quote of geeknick?

 

:tongue_smilie:Thank you Colleen! I could not figure out why this had shown up again and I was feeling guilty for not responding to the new posts.

[creekland]

Right. geeknick posted several links to "blogs" with advertising while ostensibly asking math questions.

 

Sorry! I saw that it was an old thread, but it seemed to have a newbie posting a math question on it, and I had time, so...

 

I went back and edited the link out of the quoted part.