What's the Difference between Algebra 1,2,and 3

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Algebra 1, 2, and 3 refer to high school courses that cover different levels of algebra. Algebra 1 is typically an introductory course, while Algebra 2 serves as an intermediate level, often including more complex concepts. Algebra 3 may combine advanced topics from Algebra 2 and Trigonometry, sometimes referred to as Mathematical Analysis. In college, the equivalent course after Intermediate Algebra is called "College Algebra," with many students first taking Trigonometry. It's important to note that course titles and content can vary significantly between different schools and regions.
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Can someone tell me what's the difference between Algebra 1,2,and 3?
 
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What do you mean by algebra?
 
The algebra of high school (elementary algebra) or algebra of math majors (The study of various structures including groups, rings, and fields)?
 
T.O.E Dream said:
Can someone tell me what's the difference between Algebra 1,2,and 3?

That terminology is for the Algebra of Arithmetic in high schools. Look at the table of contents and topics shown of these books: Algebra 1 corresponds to Elementary or Introductory Algebra; Algebra 2 corresponds to Intermediate Algebra; Algebra 3 is questionable because something like this might be a combination course which mixes slightly more advanced Intermediate Algebra, Trigonometry, and maybe a few other topics, and the course might be called Mathematical Analysis at the high school.

In college, the level of the course of Algebra of Arithmetic which comes after Intermediate Algebra will be titled, "College Algebra" (although science & engineering students usually first study Trigonometry, and then enroll in "College Algebra And Trigonometry", often called "Pre-Calculus").
 
However, you should be aware that there is no law requiring every secondary school in every country to teach exactly the same courses! What is called "Algebra I" in one school may differ widely from what is called "Algebra I" in another.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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