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  • New York
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  • Bronx
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  • Westchester
  • New Jersey
  • Connecticut
  • and remote to any location!

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PRE-CALCULUS

What Is Pre-Calculus?

 

As its name suggests, pre-calculus is the math course taken by students in high school or college to prepare them for calculus. Instead of involving actual calculus concepts, pre-calculus focuses on algebra, trigonometry, math analysis, and analytical geometry. Delving deeper into these subjects is meant to prepare students for calculus and equips them with the foundational skills that the course requires.

PRECALCULUS FINAL EXAM REVIEW

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Pre-Calculus and Trigonometry

 

Trigonometry is defined as the study of angles and triangles, including their dimensions and relationships. It is one of the main math courses that students take in high school and college. Because pre-calculus involves solving and graphing problems using standard trigonometry functions, such as sine and cosine, trigonometry is a pre-requisite for students who are about to take a pre-calculus course. During the course, students will also encounter additional topics like vector operations, sequences, and series.

 

 

 

Pre-Calculus and Algebra

 

Just like trigonometry, mastering algebraic concepts and skills is necessary when taking pre-calculus. In fact, many math teachers and experts would say that a firm grasp of algebra is the key to a student’s success in calculus. In pre-calculus, students will work on quadratic, exponential, polynomial, and logarithmic functions. Learning to graph functions is particularly importance since graphs figure prominently throughout calculus. Likewise, pre-calculus also covers the domain and range of functions, together with finding the intervals over which a function increases or decreases and performing transformations on a function.

 

Is Pre-Calculus Difficult to Learn?

A pre-calculus course in high school is not difficult. It is a more tedious version of algebra, where you deal with complex fractions and decimals and do more advanced factoring. You will learn new topics such as the long division of polynomials and the remainder theorem and limits. 

 

But because pre-calculus studies concepts from algebra, trigonometry, and geometry, it can be overwhelming for students to master and memorize all the materials. It is even more challenging for students who do not have a strong understanding of the pre-requisite subjects. In fact, even though they are familiar with the concepts introduced in pre-calculus, they may still find it difficult to navigate, especially if they are not adequately prepared to tackle more complex content.

 

What Are the Prerequisites for Pre-Calculus? 

 

To take a pre-calculus class, students need to have studied the following concepts and skills that are divided into six categories.

 

 

RENAMING EXPRESSIONS

 

Base ten number system; arithmetic with decimals, fractions, signed numbers; set notation (interval, set-builder, union, intersection); basic vocabulary (e.g., the phrases “at least” and “at most,” nonnegative, integers, consecutive); percentages; unit conversion; scientific notation; factoring; radicals; exponent laws; polynomials; matrices; complex numbers; completing the square technique; long division of polynomials; and logarithms. 

 

 

SOLVING EQUATIONS AND INEQUALITIES IN ONE VARIABLE

 

Linear; quadratic; absolute value; exponential; logarithmic; radical; systems; rational; compound inequalities; and the zero factor law. Understand extraneous solutions and when they can arise. Be sure that you can distinguish between exact and approximate solutions. You should understand the relationship between the algebraic and graphical solutions of sentences. 

 

 

GRAPHING SENTENCES IN TWO VARIABLES

 

Familiarity with these “basic models”: y = x , y = x 2 , y = x 3 , y = |x| , y = √ x , y = 1 x , y = k , y = ln x (and other bases) , y = ex (and other bases). Be able to graph circles and lines. Be able to graph transformations of the “basic models” involving: horizontal and vertical translations, vertical scaling; reflection about the x-axis; absolute value transformation. Be able to handle compound sentences that use the mathematical words ‘and’ and ‘or.’

 

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BASIC GEOMETRY FORMULAS

 

Perimeters of common figures, including the circumference of a circle. Also, know the following formulas: AREA: rectangle, triangle, circle, trapezoid VOLUME: right cylinder (with familiar base) 

 

 

FUNCTIONS

 

Function notation; domain and range; composition; piecewise-defined functions; quadratic (y = ax2 +bx+c and y = a(x−h) 2 +k forms); higher-order polynomial (relationship between the zeros and factors); exponential and logarithmic (allowable bases, shapes of graphs); rational (asymptotes, end behavior, puncture points); and periodic (sine and cosine). 

 

 

CALCULATOR SKILLS

 

Key expressions using correct knowledge of the order of operations; store and recall named variables; use stored values in calculations. Graph functions: set the window; trace along a curve; find maxima/minima of graphs; find x-intercepts using the built-in calculator feature; use the table feature; use the Zoom In, Zoom Out, and Z-Box features; and find intersection points of graphs.

How Can Themba Tutors Help?

 

Mathematics is one of the subjects that we often hear students complain about. It is often a source of frustration and confusion for many, whether they are in high school or college. Pre-calculus can be particularly challenging because it requires mastery of previous math courses such as geometry, trigonometry, and algebra. When students don’t have the necessary foundational skills needed for pre-calculus, it is easy for them to fall behind when encountering new material that build on skills and knowledge they should have learned in previous math courses.

 

Fortunately, this does not mean students cannot get the help and support they need to succeed in pre-calculus. With the help of a pre-calculus tutor, your child can strengthen their underlying math skills and learn new pre-calculus concepts in a fun and engaging way and at their own pace. With private pre-calculus tutoring, your child will have enough time to explore new material, ask questions, and receive feedback and positive reinforcement. Having a private pre-calculus tutor will not only enable your child to gain mastery of the subject but also build their confidence once they see the results of their hard work.

 

At Themba Tutors, our pre-calculus tutors hone  in on two important areas. We cannot stress the importance of having a strong mathematics foundation enough, so our private pre-calculus tutor will make sure to fill any gaps in your child’s skills and understanding of math concepts. Second, our pre-calculus tutors will ensure that your child is able to learn and master new material introduced by the school curriculum. This is to ensure that he or she is equipped and prepared to tackle tests, quizzes, and homework. Themba Tutors aims to maximize your child’s learning potential from a collaborative approach working with parents, teachers, and other professionals.

FREQUENTLY ASKED QUESTIONS

Is Pre-Calculus hard?

Precalculus, which is a combination of trigonometry and math analysis, bridges the gap to calculus, but it can feel like a potpourri of concepts at times. Students are suddenly required to memorize a lot of material as well as recall various concepts from their previous math courses.

Pre-Calculus,Math Tutors, Themba Tutors

At Themba Tutors, we will let you know what kind of help you need once we set up a free intake. Knowing the student’s strengths and weaknesses is vital for helping the student with the challenges they’re facing. We offer services that include academic coaching and tutoring based on the student’s needs. We also offer a hybrid model for those students who need help with content and improving their underlying study skills. 

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Pre-Calculus,Math Tutors, Themba Tutors

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Call: (917) 382-8641, Text: (833) 565-2370 

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