# Pre-Calculus Courses

In math education, pre-calculus is an introductory course, or an entire course, which consists of trigonometry and algebra at a high level that is designed to prepare future students for the study of pre-calculus. Many schools often separate trigonometric and algebra from one another as two separate subjects of the coursework. The purpose of this separation is to allow students to develop their mathematical skills in their own pace, and not to have to take both subjects all the time.

It is possible to take pre-calculus in elementary school, but it is usually offered only after students have learned a number of basic subjects such as geometry and addition, subtraction, and division. Many teachers want to develop students’ mathematical skills by teaching them the fundamentals before allowing them to take higher mathematics courses such as Calculus I and II. The high school student must be able to add, subtract, multiply, divide, and solve for exponents, and be able to use graphing and graph coloring software to make the calculations themselves.

For many students who have already studied algebra and have taken a number of introductory courses in calculus, pre-calculus courses in high school will seem a bit more difficult because of their relatively lower level of math proficiency. However, for some students, even if they have not been studying calculus in high school, a pre-calculus course is well worth the extra time spent in a math classroom.

For example, for elementary students, pre-calculus can help them learn about the properties of real numbers, which will help them when they begin to do their own addition, subtraction, and multiplication. These concepts will also be helpful for a student in elementary school who wants to understand the relationship between decimals and fractions. Other advanced concepts that will be learned through pre-calculus include linear equations, graphs, and graphs of functions.

Students in pre-calculus are also better prepared to learn algebra as they go along in the curriculum. It is important for them to know what all the numbers are, how to measure and compare one number to another, and where to place a number on a graph so that they can see where it lies on the graph. Knowing this information will help them understand how to solve for exponents, and how to use graphs, plots, and other mathematical tools to represent their own knowledge.

There are other math subjects that can be taken in high school, but pre-calculus tends to be the most difficult. Math teachers also prefer to introduce students to the subject at an earlier age so that they will be better prepared for advanced math subjects as they go along in their educational journey. At the same time, it is important for students to be able to apply their mathematical skills outside of the classroom.

Most math teachers find that pre-calculus subjects, especially for students in elementary school, give their students the opportunity to develop critical thinking skills, as well as the ability to solve problems creatively. This allows students to develop an ability to look for patterns and solve problems that others might not be able to see or can’t see. Some students develop a stronger sense of their own intuition and are more likely to come up with solutions to their own problems.

Pre-calculus courses are generally offered in community or junior/senior high schools. The curriculum for these courses usually begins with pre-algebra in elementary school and then continues with Calculus I, Calculus II, and then Calculus III. Other pre-calculus subjects include graphing calculators and workbooks, calculus guides, and tests, and graphing and graph paper.