I have taught Algebra 2 and College Algebra. College Algebra is just Algebra 1& 2 in one semester. Pre-Calculus combines College Algebra and Trigonometry in one semester.
You are a really good teacher. I had my math exam and I was confused how to get the best marks in the exam but I learned a lot from your course. I got very good marks in your teaching method test. Your teaching method is incredible. You seem to be a good mathematician. God bless you sir
good video. cleared up some confusion for me and definitely provided me with a big picture view of the teaching structure. I do like how the fundamentals are reinforced as the student advances through the courses.
No time due to my work schedule. This is a playlist from Professor Rob Bob: ruclips.net/p/PL668AB35C6885A036&si=6WDTAzsZX69JPx5X That should be good to get you started. Here is a free textbook that you can also use: www.ck12.org/c/geometry/
@@Greenemath There are quite a few stat classes that i can see and I'm not sure which order is correct. Introductory statistics, High School statistics, Introductory Business statistics and Business statistics.
openstax.org/details/books/statistics This is a free book to start with that covers all of the major topics of an introductory statistics course. Business statistics and statistics textbooks are going to be very similar. www.amazon.com/Statistics-Business-Economics-James-McClave/dp/0134506596 www.amazon.com/Statistics-13th-James-T-McClave/dp/0134080211 If you look at the table of contents for each book, there are only a few differences. The business statistics book covers some topics from econometrics that is left our of the other book.
Geometry would require thousands of custom images, which I would never be able to create. This is a playlist from Professor Rob Bob. ruclips.net/p/PL668AB35C6885A036&si=N55_pzcO3-eaH-Rw
Abstract Algebra is something you wouldn't see until your junior year at the University. This is a free textbook if you want to browse the table of contents. open.umn.edu/opentextbooks/textbooks/217
THANK YOU FOR THIS AND THE RESOURCES!! I was planning to restudy everything cuz I flunked my Calc1 :( and I just wanna ask, is it better for me to read those resources and do the textbook approach or watch your full courses and the practices instead?
I think using a textbook is the best way to learn math. If you read and work through all of the problems in the textbook on your own, you are really going to be in great shape. Video lectures are okay as long as you are practicing after each lesson.
So basically, pre calculus covers algebra 2 and college algebra along with trigonometry. So after finishing my algebra 2 course, I could just skip over to pre calculus instead of going through all of the college algebra first? Btw, I am from India and we just call it algebra in school and calculus in college when we're taking the courses, instead of dividing them into all the subdivisions😅.
It's crazy the amount of overlap between those courses if you are using a textbook approach. Most teachers in the school system will skip over the stuff already taught in the lower-level course but still there is a lot of repetition.
Just watching a video would not be finishing a course. It's kind of like saying you attended the lectures but didn't do any homework or take any tests. The most important thing is to practice. Once you have done enough practice for Prealgebra and Algebra 1, then moving on to Precalculus is the next step.
Some consider Pre-algebra to be topics that come before Algebra. So this would include all of the elementary school math topics. Others mix these elementary school topics with parts of Algebra 1. So it really depends on what resource you are going to use.
If you are using a textbook, then College Algebra and Precalculus are going to be almost identical for the Algebra portions. I would say just use the Precalculus textbook as you need Trigonometry for Calculus. I would just make sure to have a really good understanding of Algebra 1. That's all you need for Precalculus. Good luck!
Take them ALL to forge your algebraic skills into a strong foundation. If your Algebra is weak then you'll limp through Trigonometry and likely fail Calculus.
I think if you are doing sufficient practice, then you don't need all the courses. The main issue is that students want to fly through stuff with just a video and don't do any practice or very little. Think about how much progress you would make if you did every problem in an Algebra 1 textbook. You'd be fully ready for Precalculus.
@@Greenemath Algebra 2 & College Algebra introduce various abstracts that bootstrap neuroplasticity and creativity in finding the x. In my opinion, the average person who skips these courses will possess foundational gaps in knowledge that will impede comprehension as they progress. Rote “memorization” will be leveraged even further as a crutch which will stifle conceptual progress in mathematics and other problem solving disciplines.
@musashi4856 If you are using a textbook based approach for self-study, then an Algebra 2 and College Algebra course are going to be very similar. If you take Algebra 1 and then Precalculus, you will have covered all the materials from Algebra (Algebra 1, 2, College Algebra). Gaps come from not practicing.
Could I interest you in doing a video like this for Calculus? I'm a self-studier, and I'm confused when I see that there's Calculus AB, and Calculus BC, at the high-school level. There's also Calculus 1-2 at the college level. Or Calculus 1-3 at some places. It'd be great to see a comparison of all the options.
It would be a good topic but I don't think I have any Calculus AB or BC textbooks. All the Calculus books I have are normal textbooks that are used at the University level. Calculus AB is the introduction to Calculus, so it's very close to Calculus 1. Calculus BC covers all the topics from Calculus 1 and 2. Again, this is going to be based on your teacher but if you use a textbook approach that's what it looks like. This is a good reference: blog.collegeboard.org/difference-between-ap-calculus-ab-and-bc
This video is a comparison between different Algebra courses. Geometry is typically taken immediately after Algebra 1 in the school system. I would note that if you are going the self study route, then you can do Geometry later on. The Geometry needed for Trigonometry is always taught at the beginning of each section where it is required.
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Openstax books used:
openstax.org/details/books/elementary-algebra-2e
openstax.org/details/books/intermediate-algebra-2e
openstax.org/details/books/college-algebra-2e
openstax.org/details/books/precalculus-2e
As a late learner of maths, what would I do without you? Thank you again, sir.
You are very welcome, glad the video was helpful!
Thanks as someone who is self studying this helps clear up what I should be doing.
Great, glad to hear that!
I have taught Algebra 2 and College Algebra. College Algebra is just Algebra 1& 2 in one semester. Pre-Calculus combines College Algebra and Trigonometry in one semester.
Each school will have a different definition based on the school district.
You are a really good teacher. I had my math exam and I was confused how to get the best marks in the exam but I learned a lot from your course. I got very good marks in your teaching method test. Your teaching method is incredible. You seem to be a good mathematician. God bless you sir
Thanks
We appreciate the work you do Mr Greene. May god bless you tremendously for putting time into teaching.
Thanks, I appreciate the nice comment!
I liked this video right away. This video is exactly what I was hoping to find. Thank you
You're welcome, thanks for the support!
Thank you! I was confused, and now I am better equipped.
You are very welcome!
good video. cleared up some confusion for me and definitely provided me with a big picture view
of the teaching structure. I do like how the fundamentals are reinforced as the student advances through the courses.
Glad it was helpful!
That's what I needed. Thank you
Glad I could help
You are the best 🎉 Thanks for all your lessons!
Glad you like them!
I just had this question like yesterday
Damn, thanks man!
You are very welcome, hopefully that helps to clarify the difference between the courses.
mine too
This is so useful. Thanks❤
You're welcome, I'm glad you liked the video.
You're a legend man
Thanks!
yes, he is.
Thank you master
You are very welcome.
I love Garfield! :D
Also, thank you so much for your awesome super helpful videos!
You are very welcome! Thanks for the nice comment and I hope the Garfield movie is good so we get another one.
Thank you for this amazing content that you're sharing, could you please make a geometry course
No time due to my work schedule. This is a playlist from Professor Rob Bob:
ruclips.net/p/PL668AB35C6885A036&si=6WDTAzsZX69JPx5X
That should be good to get you started. Here is a free textbook that you can also use:
www.ck12.org/c/geometry/
This was incredibly helpful. Any chance you do the same comparison for Statistics?
What different Statistics courses are you trying to compare?
@@Greenemath There are quite a few stat classes that i can see and I'm not sure which order is correct. Introductory statistics, High School statistics, Introductory Business statistics and Business statistics.
openstax.org/details/books/statistics
This is a free book to start with that covers all of the major topics of an introductory statistics course. Business statistics and statistics textbooks are going to be very similar.
www.amazon.com/Statistics-Business-Economics-James-McClave/dp/0134506596
www.amazon.com/Statistics-13th-James-T-McClave/dp/0134080211
If you look at the table of contents for each book, there are only a few differences. The business statistics book covers some topics from econometrics that is left our of the other book.
Hi. I was wondering if you are planning on creating a full geometry course and practice course?
Geometry would require thousands of custom images, which I would never be able to create. This is a playlist from Professor Rob Bob.
ruclips.net/p/PL668AB35C6885A036&si=N55_pzcO3-eaH-Rw
Thank you so much sir
I have one more question
What about abstract algebra ?! What kinds of topics are tought in that field?
Abstract Algebra is something you wouldn't see until your junior year at the University. This is a free textbook if you want to browse the table of contents.
open.umn.edu/opentextbooks/textbooks/217
Thank you so much
THANK YOU FOR THIS AND THE RESOURCES!! I was planning to restudy everything cuz I flunked my Calc1 :( and I just wanna ask, is it better for me to read those resources and do the textbook approach or watch your full courses and the practices instead?
I think using a textbook is the best way to learn math. If you read and work through all of the problems in the textbook on your own, you are really going to be in great shape. Video lectures are okay as long as you are practicing after each lesson.
@@Greenemath THANK YOUUU VERY MUCH!!
@jiebee.4579 You are very welcome, good luck!
Sir please teach geometry
Here is a good playlist to get started:
ruclips.net/p/PL668AB35C6885A036
I downloaded the precalculus ebook. Thanks. Do you offer a calculus course?
No
So basically, pre calculus covers algebra 2 and college algebra along with trigonometry. So after finishing my algebra 2 course, I could just skip over to pre calculus instead of going through all of the college algebra first? Btw, I am from India and we just call it algebra in school and calculus in college when we're taking the courses, instead of dividing them into all the subdivisions😅.
It's crazy the amount of overlap between those courses if you are using a textbook approach. Most teachers in the school system will skip over the stuff already taught in the lower-level course but still there is a lot of repetition.
What’s Abstract Algebra?
That's a class you would take as a math major. Here is a good video:
ruclips.net/video/IP7nW_hKB7I/видео.html
I'm done with pre-algebra and algebra 1, sir. Can I bypass algebra 2 and College Algebra and go straight learning trigonometry and pre-calculus?
When you say "done with", does that mean you just watched a video?
@@Greenemath yes
@@Greenemath yes I finished the course
Just watching a video would not be finishing a course. It's kind of like saying you attended the lectures but didn't do any homework or take any tests. The most important thing is to practice. Once you have done enough practice for Prealgebra and Algebra 1, then moving on to Precalculus is the next step.
What about pre-algebra?
Some consider Pre-algebra to be topics that come before Algebra. So this would include all of the elementary school math topics. Others mix these elementary school topics with parts of Algebra 1. So it really depends on what resource you are going to use.
I want to get into cal, would you then suggest college algebra until functions and then move to pre-cal?
If you are using a textbook, then College Algebra and Precalculus are going to be almost identical for the Algebra portions. I would say just use the Precalculus textbook as you need Trigonometry for Calculus. I would just make sure to have a really good understanding of Algebra 1. That's all you need for Precalculus. Good luck!
@@Greenemath thank you very much!! You are fast!!
alg 1 + alg 2 = college algebra
alg 1 + alg 2 + trigonometry = precalculus = college algebra + trigonometry
College Algebra has some additional topics that Algebra 2 does not contain if you go based on the textbook, although the courses are highly similar.
Take them ALL to forge your algebraic skills into a strong foundation.
If your Algebra is weak then you'll limp through Trigonometry and likely fail Calculus.
I think if you are doing sufficient practice, then you don't need all the courses. The main issue is that students want to fly through stuff with just a video and don't do any practice or very little. Think about how much progress you would make if you did every problem in an Algebra 1 textbook. You'd be fully ready for Precalculus.
@@Greenemath Algebra 2 & College Algebra introduce various abstracts that bootstrap neuroplasticity and creativity in finding the x. In my opinion, the average person who skips these courses will possess foundational gaps in knowledge that will impede comprehension as they progress. Rote “memorization” will be leveraged even further as a crutch which will stifle conceptual progress in mathematics and other problem solving disciplines.
@musashi4856 If you are using a textbook based approach for self-study, then an Algebra 2 and College Algebra course are going to be very similar. If you take Algebra 1 and then Precalculus, you will have covered all the materials from Algebra (Algebra 1, 2, College Algebra). Gaps come from not practicing.
Could I interest you in doing a video like this for Calculus? I'm a self-studier, and I'm confused when I see that there's Calculus AB, and Calculus BC, at the high-school level. There's also Calculus 1-2 at the college level. Or Calculus 1-3 at some places. It'd be great to see a comparison of all the options.
It would be a good topic but I don't think I have any Calculus AB or BC textbooks. All the Calculus books I have are normal textbooks that are used at the University level. Calculus AB is the introduction to Calculus, so it's very close to Calculus 1. Calculus BC covers all the topics from Calculus 1 and 2. Again, this is going to be based on your teacher but if you use a textbook approach that's what it looks like. This is a good reference:
blog.collegeboard.org/difference-between-ap-calculus-ab-and-bc
So we skip geometry too after algebra 1 and go straight to precal?
This video is a comparison between different Algebra courses. Geometry is typically taken immediately after Algebra 1 in the school system. I would note that if you are going the self study route, then you can do Geometry later on. The Geometry needed for Trigonometry is always taught at the beginning of each section where it is required.
@@Greenemath This is so helpful thank you!!!
You are very welcome!
I would give you money if I had any
That's nice of you to say but RUclips creators get money from ads.
thanks
You're welcome!
No audio is available for this video.
Not sure why it's not working for you, it's playing with audio on my devices.
Yeah I have audio working too.
The only way to advance is to understand math👍
Math can be a very useful tool if you want to get into a STEM career.
🫡
😎