Precalculus Tutors Near Me
Information on Hiring Precalculus Tutors Near Me
Math is one of the most complicated and confusing subjects for students to learn, especially when you start getting into higher mathematics. For those people who enjoy and excel at math, they see a world of possibilities that is opened up. Advanced math forms the basis for many degree programs and complex careers, including those in economics and finance, the aerospace field, physics, and engineering. Calculus and precalculus are essential for these fields.
That doesn’t mean they are easy to learn! Even if you or your child are doing well in a precalculus class, it would be worth it to invest in hiring a private tutor by searching online for precalculus tutor near me. The concepts and numerical structures do continue in calculus, so having a fundamental understanding of the basics is extremely essential.
What to look for in a precalculus tutor
Now that you’ve made the decision to hire a precalculus tutor, what are the qualities you’ll look for in a candidate? It’s not enough for them to just be smart or have gotten good grades in the subject.
You want a tutor who actually enjoys the subject. Yes, they’ve got to really like math! When it comes to teaching difficult subjects, a sense of enjoyment and even some fun goes a long way toward making it more bearable to learn.
The tutor must also understand that, while they like to be a math tutor, their student probably won’t or is struggling and having difficulty. So, they must be able to understand where the student is coming from and be compassionate towards them.
The tutor must also be able to convey complex, elusive concepts like imaginary numbers in a logical, practical way that the student can understand. It’s a talent to be able to express complicated subjects in a simple format. You want to find a tutor who can do that, and who can prove it by providing examples.
The tutor must also have great feedback, which comes from plenty of experience helping other students. They’ve proven themselves to be professional and goal-oriented towards helping you or your child succeed, while at the same time being patient and passionate about the subject. They should want you or your child to succeed as much as you do!
Having an excellent educational background also helps, of course. Were they a math major in college? Did they get an advanced degree, like their masters or a Ph.D. in mathematics or a related field?
It’s also a bonus if they’ve worked in a mathematical field, such as physics, engineering, or in a classroom setting. Then they can help you demystify precalculus by providing real life examples. It’s one thing to take a class from a teacher; it’s another to be tutored by somebody who has used advanced mathematics in their job.
How a private precalculus tutor can help raise your grade
Your precalculus tutor can help raise your grades by helping you better understand basic numerical concepts, simply explaining a difficult subject, custom tailoring the tutoring sessions toward your specific way of learning, and by setting goals that coincide with improving homework and test scores.
They will also help practice example problems with you and show you different math problems from a new angle. They might even challenge you more than your precalculus teacher! That’s a good thing, since it means the tests will seem easier. No, it’s not that math is getting easier – it’s that you’re understanding it more.
Raising a grade from a lower one to a higher one is a step-by-step process. Your precalculus tutor can help you or your child go through that process with each new tutoring session.
How much does precalculus tutoring cost?
Rates do vary pretty substantially from tutor to tutor for precalculus, depending on their experience, their education background in mathematics, and how much positive feedback they’ve already gotten from former students. A tutor who’s just starting out might charge a lower rate than one who’s had hundreds of hours of experience.
So, the average rate you can expect to pay for an online precalculus tutor is between $30 and $80 per hour. The cost that you spend on an excellent, highly qualified tutor not only pays back in higher grades, but hopefully a better understanding of precalculus that will make learning calculus and higher forms of advanced mathematics that much easier to learn.
We can help you learn the language of math
Numbers, calculations, and variables are just some of the tools used to put logical ideas together. Math is the language that puts all of these together for a purpose. So, getting a precalculus tutor who can help you put that language of numbers together and understand it will help raise your grades – and maybe you can enjoy a complex subject a whole lot more, too.
In a way, they’re all right. Just what is precalculus? How is precalculus different from other kinds of math? Most of all — and most importantly to students — what is it for? How are we going to use it in real life?
What Is Calculus?
Understanding the term “precalculus” means understanding the word “calculus.” (After all, it’s hard to know what “preschool” is if you don’t understand the concept of “school,” right?)
Technically, the word “calculus” is Latin for “teeny stones.” In ancient days, calculation was done on strings of beads for counting or bead frameworks called abacuses. The little stones that were used to make the counting beads ultimately gave “calculation” and “calculus” its name.
As mathematics grew, each branch of mathematics focused on studying something fundamental to the world. Geometry — whose name literally means “the measurement of the world” — studies the shapes that make up our universe. Algebra uses math to describe relationships between things that vary, such as the relationship between speed, time, and distance. Last but not least, calculus is the study of continuous change. That sounds very Zen, and in many ways, it is.
It’s All About Change
Calculus provides procedures for how to solve problems about things that change. How do we determine how fast something changes? How can we predict amounts or qualities of something that changes? Calculus also tackles geometry in a way that deals with change: the changing shapes of a curve or plane, for example.
Another way to understand calculus is to look at calculus as taking math to the next level. Arithmetic was about playing with numbers and seeing how numbers could be added, multiplied, and manipulated. Algebra looked for patterns and constant relationships between those numbers, finding out equations like a^2+b^2=c^2. Calculus takes math thinking one step further and looks for patterns between equations.
For instance, do you remember being in geometry? Remember how you may have struggled trying to recall the formula for the circumference of a circle (2*pi*r)? The formula for circumference was so similar to the formula for the area (pi*r^2) that you might have gotten them confused — it was like the same elements, only rearranged.
Calculus says, “Yeah, you’re right. They are. Now let’s see why it is that way.” To find out change over time, calculus mentally cuts things into small pieces to find out how it changes (differential calculus). It also joins together the small pieces (integral calculus) to find out how much there is.
What is Precalculus?
What’s “precalculus”? For many high school students, the word “precalculus” can evoke a sense of dread. For others, only a shrug: they don’t know what it is or what it’s for. One witty student argued that all math, even counting on your fingers, technically counts as precalculus.
Because calculus weaves together important concepts from algebra in with important concepts from geometry, precalculus is a course that is intended to review those fundamental ideas and show how they work together. You can think of precalculus as your algebra class and your geometry class both “leveling up.”
Major Parts of Precalculus
Part One: Math Analysis and Algebra on Steroids
Your pre-calculus class will probably vary a bit depending on your level of math, the topics you’re expected to know already, and so on. Most precalculus classes offer a mixture of advanced algebra, analytical geometry, and trigonometry. You’ll probably review some of the following ideas:
- Numbers and variables in an algebra problem
- Equations and functions, including functional notation
- Quadratic, exponential, polynomial, and logarithmic functions
- Rational and irrational numbers
- Slope of a straight line
Part Two: Triangles Are Your Friend
In addition, you’ll also study trigonometry. Trigonometry, whose name literally means “the measurement of three-sided shapes,” is the study of triangles. You’ll learn how triangles and their angles can be drawn, how their angles can be represented, and so on.
Remember how we said earlier that calculus is the study of things that change over time? Triangles are crucial to helping us understand movement. For example, think of an old-fashioned clock on the wall. If you can imagine the second hand moving from 3:00 to 6:00, you’ll notice it’s made a kind of “pie wedge” of time. You can make triangles between any two times and start to see patterns emerge.
Trig studies that relationship between angles and the lengths of triangles. In daily life, trigonometry can calculate heights, bases, and relationships in architecture, in the distance between objects in space. It helps calculate the distance between light and sound waves — or in other words, things that change over time.
When Am I Ever Going to Use Precalculus in Real Life?
Want to choose the best stock? Predict the weather? Put a dome on a sports arena? Calculus studies how things change over time — like the rise and fall of a stock, or the monthly minimum payment on your credit card. It calculates the movement of hurricanes as they head toward the Florida panhandle. How much material will you need if you’re hired to cover up the new Raiders stadium in Las Vegas?
Calculus is at the root of all of these problems because it studies changes, shapes, slopes, and the intersection of algebra with its patterns and geometry with its shapes. Precalculus helps prepare you for this fascinating field.
The bottom line is that precalculus is like many “pre-” things in the world. It’s got one foot in the material you learned already — the functions, the algorithms — and one foot pointed in the direction you’re headed. Because of that dual nature, precalculus can sometimes feel like a potpourri of mixed ideas.
However, stick with it. It’s a lot like learning the parts of a foreign language, such as French or Japanese. Very few of us like learning how to conjugate verbs or pronouncing unfamiliar sounds. The fun part happens when you can speak without even thinking about it. Calculus works that way too. It’s a beautiful language.