Is It Possible for a 9th Grader to Learn Calculus?

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Discussion Overview

The discussion centers around whether a 9th grader can learn calculus, particularly focusing on resources and foundational knowledge required for understanding calculus concepts. Participants share their experiences and suggest various online resources, while also discussing the necessary prerequisites for studying calculus effectively.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant seeks websites to help learn basic calculus after finding Algebra 1 too easy.
  • Another suggests Khan Academy as a comprehensive resource for various levels of math, including calculus.
  • A different participant recommends a specific tutorial website for theorems and example problems.
  • Some participants caution that a solid foundation in algebra, trigonometry, and geometry is essential before tackling calculus, as it may lead to frustration without these skills.
  • There are suggestions to self-study intermediate algebra and precalculus to prepare for calculus.
  • One participant mentions the importance of understanding the concepts behind calculus rather than just memorizing formulas.
  • Another participant shares a personal experience of learning precalculus quickly but still emphasizes the importance of mastering Algebra II and precalculus before starting calculus.
  • Some participants express concern about the appropriateness of jumping directly from Algebra 1 to calculus without adequate preparation.
  • There are references to specific texts and resources that could help build a foundational understanding of mathematics before calculus.
  • Several participants engage in a meta-discussion about the appropriateness of the original poster's readiness for calculus based on their current math experience.

Areas of Agreement / Disagreement

Participants generally agree that a strong foundation in algebra and related subjects is important for success in calculus. However, there is disagreement on the extent to which a student can learn calculus independently and whether it is advisable to do so without completing prerequisite courses.

Contextual Notes

Some participants express uncertainty about the specific content covered in the original poster's Algebra 1 course, which may affect their readiness for calculus. There are also varying opinions on the timeline and necessity of mastering precalculus concepts before attempting calculus.

Who May Find This Useful

This discussion may be useful for students considering self-studying calculus, educators looking for resources to recommend, and parents seeking guidance on their child's math education path.

  • #31
brocks said:
Calculus is typically not easy except for the gifted, even when they have taken the normal sequence of prerequisites.

In this case, being gifted usually has little to do with success. There are really only two things that make Calculus difficult for students. The first is shaky foundations. The second is that Calc I & II usually compress far too much into a short span, to please the various departments that use them as prerequisites for other courses.

As for the first, it is still good to look ahead and see what you can figure out. However, when you realize that you don't have the tools to continue, it gives good motivation to go back and cover your prerequisites well. Don't be fixated on Calculus, though. There are many areas of mathematics that are worth exploring even at the high-school level. Look for books and websites on discrete math, basic set theory and simple proofs.
 
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  • #32
hey, just want to encourage you. math is taught at a terrible level in this country, and your position is not unusual. it's good that you're showing interest now - maybe you can take some classes over the summer to accelerate your speed. starting calculus with no geometry/trig and spotty algebra would be difficult. a good goal would be to complete 1) calculus, 2) basic linear algebra, 3) learn how to do proofs/basic number theory before college. that would make you very well prepared, especially the latter one
 
  • #33
Hi Willis,

Calculus can be easy for some and difficult for others, but one thing is certain--it is necessary to have a good foundation in algebra and trig...and even geometry. If you're curious about calculus, there is nothing wrong with having a look through, but mastering algebra 1 and 2, trig, and geometry will give you all of the tools you need to be really strong in calc. Good luck with everything!
 
  • #34
Thanks for the answers guys. Since Christmas is coming, i'll buy myself some geometry/algebra books.
 
  • #35
I am in 9th grade and learned Calculus (single variable) as a self study in my 8th grade summer, but it did take time to get to there. Assuming you are ambitious enough, it is very possible to learn it as a 9th grader. I would also like to say learn Alg I well, then geometry. Finally combine Alg II and Precalculus because they are very similar. Precalculus and a review of Alg II, trigonometry, and a small introduction for single variable Calculus. Good Luck!

May I ask why you would like to learn Calculus (what kind of Calculus - single var, multi var?) as a ninth grader though?
 

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