Analytical Geometry & Linear Algebra at HS

  • Context: High School 
  • Thread starter Thread starter WannabeG133
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SUMMARY

Analytical geometry and linear algebra are often misunderstood in the context of high school curricula. While analytical geometry may be offered at some high schools, linear algebra is typically an introductory college course rather than a high school subject. Key topics in linear algebra, such as determinants and dot products, are generally introduced in precalculus classes. Algebra I focuses on foundational concepts like quadratic equations and graphing functions, which differ significantly from the principles of linear algebra.

PREREQUISITES
  • Understanding of basic algebra concepts, including quadratic equations
  • Familiarity with vector spaces and linear equations
  • Knowledge of precalculus topics, particularly determinants and dot products
  • Awareness of high school mathematics curriculum in the US
NEXT STEPS
  • Research the curriculum for high school analytical geometry courses
  • Study introductory linear algebra concepts, focusing on vector spaces
  • Explore precalculus topics that lead into linear algebra, such as determinants
  • Investigate the differences between high school algebra and college-level linear algebra
USEFUL FOR

Students transitioning from high school to college mathematics, educators designing math curricula, and anyone interested in the distinctions between high school algebra and college-level linear algebra.

WannabeG133
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A'ight thanks man. I think analytical geometry was actually offered as a class at my sister's high school, but I may be wrong since I'm going to a different school than she did.

I wondered if it was supposed to be "Plane" and not "Plain" on my schedule. Someone made a typo. Continuing onto what you said, linear algebra would mean mostly algebra 1 correct? Haven't taken algebra 2 so I don't know what it's all about. I'm actually posting this in my computer class having just finished our final. I start P&S Geometry Monday.

Edit: Didn't mean to make a new thread. For some reason when I logged in it got all messed up. These school firewalls and protection software(s) make it hard for any message board to work properly. So just take what I said in reply to my other thread.
 
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linear algebra is the study of linear spaces, i.e. vector spaces, where you can add and scale all objects.

its not something that is usually taught in High School in the US, although a lot of topics that are covered in linear algebra are also taught in High School, like determinants and dot products. these topics are usually covered in precalc in US high schools, if i am not mistaken. Linear algebra itself is an intro level college math course.

Algebra I in high school usually covers stuff like the quadratic equation (which is not linear), graphing functions, etc.
 
yeah linear algebra and algebra of linear equations are two very different things.
 

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