Algebra II contains some Geometry concepts that could be taught inside of Algebra II if necessary, but it is easier to take Geometry first in order to fully understand these concepts.
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You can take any math you want in High School that is at your level. Most of the available classes for most schools are Intro to Algebra I, Algebra I, Geometry, Algebra II, pre-Calculus, and Calculus (not always offered). As long as you take any of these maths (the amount in years varies from place to place), and pass, you can graduate from high school.
It wasn't for me but I was a good math student in high school and had taken Algebra I and II, Plane Geometry and Solid Geometry as well as Trigonometry (a year of Solid and a year of Trig) as a Senior. I still do Algebra problems for fun like people do crossword puzzles and I am in healthcare administration
This depends on the state you are in, the country, and your own personal intelligence. In Pittsburgh, the standard math level for tenth graders is Algebra II. In Philadelphia, it is Pre-Calculus. In New York, it is Geometry. In China, it is multi-variable calculus and non-linear algebra.
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