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[quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous]Examples of compacted integrated math: 
https://elm.sweetwaterschools.org/compacted-integrated-math-integrated-math-course-i-placement/

https://rdmcounseling.weebly.com/7th-grade-course-selection.html[/quote]

You don’t seem to be familiar with the US curriculum, and just posted the first Google hits you could find.

Integrated math I, II, III refers to a mix of three years of algebra and geometry taught instead of the Algebra 1, Geometry, Algebra 2 sequence.

Integrated compacted math 6/7/8 doesn’t really mean much it’s the same curriculum but compacted so kids can accelerate.

In California schools there’s a push for integrated math which originates with social justice champions like Jo Boaler, whose initiative received a lot of criticism.

A feature of CA math pathways is the compacted IM 3 with precalculus which is  disastrous. Also they make AP Calculus AB a prerequisite for BC which is ill advised.[/quote]

Ding dong - did you open the second link?  :lol:

Integrated math can be compacted, just like any other sequence.

[/quote]

Really, so any math sequence can be compacted?

The regular math sequence is Algebra 1, Geometry, Algebra 2, Precalculus, Calculus, Linear Algebra and Differential Equations, and you might add along the line Statistics and Discrete Math.

You don’t see this sequence compacted especially for the higher level classes unless the class is useless like compacted Algebra 2 and Precalculus or if it’s a magnet high school like Blair Functions but even then the kids come with Algebra 2 done plus a ton of enrichment.

You seem to be more familiar with elementary and middle school compaction classes. It’s done because those classes move very slowly and there’s a lot of repetition, high school math is different.[/quote]

Thanks for proving my point. Yes, some schools do in fact compact HS-level math. One of my kids is in a compacted path right now. I am plenty aware.  :lol:

Any sequence can be accelerated. Look at AB vs. BC -- BC is compacted.

Maybe you are stuck on the language? Compacted just means accelerated. They cover more content in less time.

Capiche? 
[/quote]

Not sure why you insist on this as you’re clearly out of your depth. Calculus BC is not compacted, it covers Calculus 1 and 2, typically taught over one semester each in college, or one year in high school. You can say Calculus AB is more fluffy or equivalent to a lower level calculus like college equivalent of Calculus for life sciences and business majors.

[/quote]

LOL. Again, thanks for proving my point.

https://blog.collegeboard.org/difference-between-ap-calculus-ab-and-bc
[i]"In other words, AP Calculus BC covers more content than AP Calculus AB"

"All topics in the eight units of AP Calculus AB are also included in AP Calculus BC. However, AP Calculus BC contains two additional units (Units 9 and 10), plus some extra topics in Units 6─8."

"AP Calculus AB focuses on topics that are taught in the college-equivalent first-semester calculus class. AP Calculus BC focuses on topics covered in both first- and second-semester calculus classes."[/i]

AB = Calc 1
BC = Calc 1 + 2

More content covered in less time = accelerated = compacted.

It must be hard for you to struggle so much with math [i]and[/i] language.

[/quote]

You can call whatever you want accelerated or compacted, that doesn’t mean the rest of the world agrees. I had a good laugh at “compacted” and “accelerated” calculus.

While class contents vary, AP Calculus AB  is more than just Calculus 1. Applications of integration and differential equations are usually Calculus 2 along with series and parametric functions. Other topics from Calculus 2, ie techniques of integration, and some integration applications like moments are missing from AP Calculus BC. That doesn’t mean college calculus is doubly accelerated and compacted compared to already accelerated and compacted BC. It’s just that there are different classes, students, majors, and graduation requirements.

By this silly argument Honors Precalculus would also be compacted and accelerated compared to regular Precalculus because it includes additional topics of vector algebra and conics. It’s not, it’s a different class that go into more depth and more topics.

Semantics aside, your entire point is finding some snippets online that you think validate your word choices. Try to contribute with something more substantive.

[/quote]

I'm sorry you are struggling with the definitions of these words. Maybe pick up a dictionary?

As for the content covered by AB/BC, I trust the College Board on this: 
[i]"AP Calculus AB focuses on topics that are taught in the college-equivalent [u]first-semester calculus class[/u]. AP Calculus BC focuses on topics covered in [u]both first- and second-semester calculus classes[/u]."

"The two courses cover content and skills that are introduced in a first-semester calculus course at the college level. [u]All topics in the eight units of AP Calculus AB are included in AP Calculus BC[/u]."[/i]
https://blog.collegeboard.org/difference-between-ap-calculus-ab-and-bc

Integrated math is just the sequencing of content. Integrated math courses can be designed to be accelerated/compacted or advanced, just like any other sequence. 
[/quote]

I’d take the College Board description with a grain of salt because they also have to back up the AP exam course equivalence.

Differential equations and Applications of integration from the description the AP Calculus AB syllabus are usually found in Calculus 2. While contents vary, see if you can find a Calculus 1 college course that covers these topics.

An example from UC Berkeley:

Calculus 1, Math 51
This course is intended for STEM majors. An introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions.

Calculus 2, Math 52
Techniques of integration; [b]applications of integration[/b]. Infinite sequences and series. [b]First-order ordinary differential equations.[/b] Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations.

Arguably AP Calculus BC is not as in depth as a college calculus class. Even at the community college where my dual enrollment student took calculus there were many topics not touched in the AP Calculus BC. A few examples: logarithmic differentiation, techniques of integration (ie trig substitution), applications of integration (surface area of revolution, cylindrical shell etc), first order linear differential equations (AP only does exponential and logistic, college classes include integration multiplication factors). As shown in the example from Berkeley on Calculus 2, some classes go in even more depth for differential equations.[/quote]
Berkeley is not representative of college math classes in general - it's in the top 20 out of 6000, or top one third of a percent.

https://www.mvsu.edu/academics/academic-programs/arts-sciences/departments/mathematics-computer-information-sciences/undergraduate/bs-mathematics/courses

MA 300. CALCULUS II. Differentiation and integration of transcendental functions, techniques of integration

https://kranishapcalculus.weebly.com/uploads/7/0/7/1/70719881/ap_calculus_bc_syllabus.pdf - this BC syllabus covers logs[/quote]

Ok, got it, you’re a complete idiot.

Berkeley, being part of the largest university system in the nation with standardized transferable courses among University of California, California State, and California Community Colleges, serving a total of 3 million students is not representative, but  Mississippi Valley State with its 2000 students is.

You clearly don’t know much about the US educational system or math in general, but you insist on giving your “expert” opinion on it.[/quote]

The PP isn’t insisting he/she is an “expert” in anything. She seems to understand these concepts more than you though…

To recap:
AB = calc 1 “advanced”
BC = calc 1 + calc 2

Let's look at three students who are starting at Berkeley this fall:
11 - precalculus
12 - ap calc ab (low score)
13.1 - math 1a
13.2 - math 1b

11 - precalculus
12 - ap calc ab (score 5)
13.1 - math 1b
13.2 - math 53

11 - precalculus
12 - ap calc bc (score 5)
13.1 - math 53
13.2 - math 54

https://math.berkeley.edu/courses/overview/high-school-exam-credits

By covering the additional content at a faster pace than AB, kids who take BC and score a 5 may be able to place out of an extra calculus class in college and take higher-level math courses sooner.

BC offers a more "accelerated" path than AB.

My original point stands:
Integrated math can be accelerated/ compacted, just like any other sequence. 
[/quote]

lol at accelerated/compacted calculus, as a prerequisite for accelerated multivariable, or anything really, like accelerated bachelors degree, since that’s also a sequence, aka a list of major requirements.

Technically you’re not wrong, but [b]you sound  dumb, ignorant and embarrassing [/b]at the same time.[/quote]

Project much? And thanks for [i]finally[/i] admitting that I’m right.  :wink:

Integrated math is just the sequence of content. It can be accelerated.

Sorry, MAGAs. Need to find a different narrative. 
[/quote]

Just because a handful of schools accelerate integrated math doesn’t mean it’s done wherever it’s offered, that it’s representative, that it’s done well or it’s good for the students.

Your whole contribution to the thread is googling “integrated math accelerated compacted” and posting the few schools you found in the first five pages of search. Literally that’s all you did. If you think that proves something and you somehow made a fine argument, you’re are quite dumb.[/quote]

[b]Some issues with integrated math[/b]
[i]"For integrated math there’s no opportunity to accelerate"
"IM classes are not compacted"
"Schools don't offer compacted IM classes"
"Integrated math falls into this category because it’s associated with removal of honors classes, so it’s a way to implement de-tracking"
"When the switch is made from AGA to IM they eliminate honors classes and offer only one level of IM"[/i]

[/quote]

Fixed it for you, these are not absolute, maximalist statements, it’s what many parents run into related to integrated math education of their kids. Exceptions do exist. I can’t help you further if you’re too dumb to understand the nuance. Parents had these gripes with integrated math since forever.

https://talk.collegeconfidential.com/t/how-to-accelerate-within-high-school-integrated-math/

[/quote]

No, people are pushing these limited experiences as universal "truths" to push some BS RWNJ narrative.

Again, integrated math absolutely [u]can[/u] be accelerated (faster) and/or advanced (more depth), just like any other content sequence. 
[/quote]

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