Teaching myself geometry, algebra 2, and calculus.

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Discussion Overview

The discussion centers around self-teaching advanced mathematics, specifically geometry, algebra 2, precalculus, and calculus, as a high school freshman. Participants share resources and strategies for independent learning and consider implications for future academic progression.

Discussion Character

  • Exploratory
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses a desire to self-teach advanced math due to boredom with algebra 1 and a goal of preparing for a PhD in theoretical physics.
  • Several participants recommend online resources, including MIT OpenCourseWare and Khan Academy, noting their usefulness for self-study.
  • One participant mentions that Khan Academy may lack sufficient practice questions but provides easy-to-understand explanations and some practice opportunities.
  • Another participant suggests searching for popular textbooks available for free in PDF format online.
  • A suggestion is made to consult with high school teachers about borrowing textbooks used in current classes for self-study purposes.
  • There is a caution about discussing potential course skipping with school administration due to graduation credit requirements.

Areas of Agreement / Disagreement

Participants generally agree on the value of self-teaching and the resources available, but there are differing opinions on the effectiveness of specific platforms like Khan Academy.

Contextual Notes

Limitations include the potential variability in the quality and comprehensiveness of online resources, as well as the need for formal approval from school administration regarding course skipping.

Who May Find This Useful

High school students interested in self-studying advanced mathematics, educators looking for resources to recommend, and individuals considering independent learning paths in STEM fields.

FuturePhysicist
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Hey, I am a freshman in High School and I have a very superior IQ but I am in normal classes. This is due to ADHD and I used to be lazy in school. Anyways, algebra 1 is VERY boring. I want to teach myself geometry, algebra 2, Pre Cal, and Calculus because I love math. Also I feel like it will prepare me for college (PhD in Theoretical Physics) and perhaps I can skip courses through the rest of high school. Anyways, I am wandering if there are any good books or free online classes to where I can teach myself these. I may also want to add that I am a very fast learner.
 
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Khan Academy is lacking in practice questions for most subjects right now but is constantly being updated. The explanations are very easy to understand, and there are usually practice questions between subjects that force you to apply things you learn, as you learn.
 
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Also, a lot of popular textbooks are available for free in pdf form with a simple google search.
 
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One thing that you may also look into doing is talking with the teachers of those classes at your high school and see if you could check out a book for the subject for self study. Then you'll be doing the same things that the current students of those classes are doing. If you plan on skipping classes talk to your administration about doing so, as there is usually a credit requirement needed for graduation and you may have to take the classes anyways.
 
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