"So I'm a 11th grader, or I'm in 11th grade." This is correct and natural. You are also "a junior" or "a high school junior."
In the United States, there is no uniform national educational system. What I'm about to say is "typical." At about age 5, we enter "kindergarten." For about six years, we are in "elementary school" or "grade school." We are in the first grade, second grade, and so on. Someone might be "in the first grade" or "be a first grader." We continue through grade 12. The usual "public school" is described as "grades K through 12." It is usually broken into three schools, either called "elementary school," "middle school," and "high school," or "elementary school," "junior high school," and "senior high school." There is a great amount of silly variation in exactly which grades go in which schools. A common pattern is K through 5 in elementary school; 6, 7, and 8 in middle school; 9 through 12 in high school.
Students in grades 9 through 12 are most commonly called "freshmen," "sophomores," "juniors," and "seniors," but are often called simply 9th, 10th, 11th, and 12th graders.
After graduating from high school, many people go on to "college." This can be a point of confusion because in the United States, "college" always refers to higher education--the first four years of a university education.
Strictly speaking, a "university" is an institution with more than one "school." The big undergraduate school, the first four years, is the "college." The rest is "graduate school" and might include a school of medicine, a school of law, a school of engineering, and so forth. In the United States we do not usually talk about going to "university" or "uni."
Confusingly, the four years of college are also referred to as the freshman, sophomore, junior, and senior years.
The basic four-year undergraduate degree is the "bachelor's degree" or formally "baccalaureate." We do not use "bachelor" and "baccalaureate" to refer to high school.