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## The Top Five Reasons Why So Many Students Need a Precalculus Tutor

Precalculus is a course that usually starts out looking fairly easy for students but then gains momentum, becoming increasingly difficult as it progresses. At that point, students may feel lost in the material and lack confidence in their ability to solve the problems assigned to them. While many students believe they need calculus help early in the course, most students don’t realize they need precalculus tutoring until about a quarter of the way into the course. A pre-calculus tutor can help fill in gaps in a student’s understanding of the material by understanding the meaning behind multiple concepts studied in class and also showing alternative methods for obtaining math problem solutions. There are many reasons why so many students need a precalculus tutor:

1. Precalculus is a course that requires students to have an above-average understanding of various functions and their corresponding graphs:

The precalculus student should be comfortable manipulating a variety of algebraic functions and analyzing these graphs in order to graph these functions. Some of these functions include linear, quadratic, polynomial, square root, trigonometric, and logarithmic functions.

2. Students often move from one grade to the next without mastering the basic math skills needed to excel in the following year:

After completing algebra, students should be able to solve for x-intercepts, y-intercepts, and the vertex of a function, if necessary. Other important concepts they should master: factoring and graphing equations and inequalities to find solutions to various math problems. Unfortunately, many students do not have a strong foundation in Algebra II, thus making the transition to Precalculus more difficult.

3. Many students do not fully understand how to use their graphing calculator to obtain and check answers:

A graphing calculator should be used as a supplemental tool for solving Precalculus problems. It is a great tool for checking answers and verifying solutions to complex tasks that are difficult to graph manually. Unfortunately, students do not know how to use their calculators to their full potential, mainly because they have not used them extensively in Algebra II.

4. Challenging trigonometric tasks that students encounter in Precalculus may seem daunting:

Precalculus is the first math class in which students will be introduced to the graphs of sine, cosine, tangent, secant, cosecant, and cotangent functions. These graphs are especially challenging because they can be graphed in either degrees or radians and can be translated, stretched, or flipped. A precalculus tutor can help students learn by outlining the similarities of these functions and identifying their differences. Practice makes perfect and will help the student gain confidence in solving even the most difficult precalculus math problems.

5. Precalculus draws on concepts in algebra and trigonometry and begins preparing students for advanced topics in calculus.

To excel in calculus, a student must be comfortable plotting and interpreting various complex functions, including trigonometric ones. Therefore, precalculus becomes an important prerequisite for any student hoping to pursue higher-level math classes, including science and business courses, that they may take in their senior year of high school or college. Precalculus is the bridge to calculus, and students who take this course and more advanced math classes will not lose some of the basic skills learned in Precalculus.

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