This is a reasonable goal, as calculus is required for many majors and unifies all precalculus courses. Pre Algebra courses, usually studied in junior high or middle school, prepare the student for the concepts of algebra. Generally, a maximum of one year of pre algebra is required for gifted students. Algebra lays the groundwork for all future work in mathematics. It introduces the concepts of solving problems algebraically, graphs, and formulae.
Geometry introduces the fundamentals of proof in Euclidean geometry.
It also introduces the concepts or area, volume, slope, and tangency, which are all important to beginning calculus. The remaining mathematics studied in high school applies this basic knowledge of algebra to various topics such as trigonometry and analytic geometry. Topics such as trigonometry and analytic geometry are usually covered, with the possible additions of statistics and functions. Pre Calculus courses have a variety of names, such as Analysis, Functions , or Advanced Mathematics. These widely used texts are consistent with the standards of math education released by the National Council of Teachers of Mathematics in 1989.