Pre-Calculus is one of the most difficult sub-sections of Math that requires college and university students to take classes as seriously as possible, especially when it comes to problem-solving. In this branch, enhanced problem-solving skills are a must due to the frequency of problems that might occur at this or that academy level.
Whether in a virtual or physical classroom, make sure to take all possible notes. As a rule, web college sessions are recorded, which means you will be able to use them later. However, it is highly recommended to build solid note-taking habits before you get your hands on Pre-Calculus problem-solving. To become a better Pre-Calculus solver of class problems, make sure to follow the tips given below and take into account some useful comments as you go.
Just like any other college or university discipline, Pre-Calculus always takes time. No one can start the course and become a genius in a flash. The majority of students who fail to succeed in this discipline are either unable or unwilling to devote the right amount of time to Pre-Calculus. The time that you may need to become a proficient Pre Calculus solver of the discipline problems will depend on how smart a student is at the moment, what grade she would like to get, and how competitive the course is. The majority of college and university tutors recommend two or three hours a week if you want to boost your problem-solving skills in Pre-Calculus and expect to get a B or A grade. Don’t be in a hurry since the process takes time. Besides, it’s no doubt that your study of Pre-Calculus will be combined with the other classes and responsibilities, so slow down.
From the first class in Pre-Calculus, you will start seeing many different terms that your professor uses to deliver her lectures. Just like any other discipline, Pre-Calculus also has a range of terms that aren’t familiar to you. The terms like “functions,” “polynomials,” “exponents,” and “variables,” are an integral part of the field, which means you have to learn their meanings just like you learn your vocabulary for your Spanish class. Before you memorize all the lists, make sure to keep these terms at hand. Create flashcards and check them whenever you work on your Pre-Calculus problems.
Whether you like it or not, Pre-Calculus is built on the concepts that are part of Algebra. In other words, if you failed to polish up your skills in Algebra, it’s time to do it now. When it comes to problem-solving in Pre-Calculus, make sure you are solid on your Algebra knowledge before you get your hands on Precalculus. In case you have already started this course and are facing some problems, ensure to quickly get back and reload your Algebra skills. An in-depth review will make you feel more confident about your Pre-Calculus problem-solving abilities.
In most college math programs, Trigonometry is the discipline that comes before Pre-Calculus. This field of study is based on the ratios of the right triangles’ sides, especially when it comes to the unit circle. While the functions in the niche of Trigonometry are related to describing motion, Pre-Calculus is related very well to measuring the change rates. In other words, Trigonometry is like a cornerstone for Pre-Calculus.
In particular, make sure to memorize the following issues:
- Arcsine, arctangent, arccosine (inverse functions in Trigonometry).
- Substitute functions. Many concepts in the field of Trigonometry are related to the process of substitution of the functions. You have to know how to substitute one function for another to succeed in Precalculus.
- Learn basic functions, such as secant, cosine, cotangent in the field of Trigonometry.
When it comes to disciplines like Math, Physics, and Pre-Calculus, you need to buy all the necessary supplies to cope with your academic problems as soon as possible. Without a doubt, you already have a notebook, a pen, and a couple of pencils at hand. At the same time, it is also important to get a graphing calculator. The tool can be used to solve equations, plot graphs, as well as do a range of many other tasks associated with variables. Taking into account the fact that you will have to use this tool on a regular basis, make sure you learn how to use one. If there’s a manual attached to one, read it carefully.
It is important to be fluent with logarithms and exponents. These two elements are the basis for your manipulations with functions and equations in the field of Pre-Calculus. At first, you meet these elements in algebra, but then they become an integral part of your Pre-Calculus classes. Logarithms and exponents are known as inverse processes of each other. Besides, they are a must to a lot of Calculus operations. Make sure to study each carefully. If you have gaps in your knowledge, it is never too late to get back and review your previous materials.
No matter how tempting it may be to skip this or that class, it is better to attend each. As you maintain a regular presence in class, every technique and term will become easy and obvious. Besides, your professor will make every issue clear, as well as get you excited and enthusiastic about the discipline. If you miss all these things when you decide to skip Pre-Calculus classes, it will definitely affect your knowledge and your final grade. In other words, you do need to attend classes.
In addition to having all problems clarified in class, you will also have an opportunity to hear Pre-Calculus vocabulary professionally spoken by your tutor. What is more, you will also see how Pre-Calculus ideas are blended together to reach conclusions. In order to solve problems in the field of Pre-Calculus on your own, you need to see how a professional problem solver approaches and handles the same issues.
At the same time, you need to also be aware of all the announcements on the upcoming tests, exams, and home assignments. And you need to meet your peers, after all. The reality is that when you get even a little bit behind in class, your progress will suffer eventually. As a rule, students tend to skip a class or two, but that is enough to get confused. Go to the Pre-Calculus class anyway. Ask your professor where you can get some professional counseling or additional tutoring to be able to handle Math problems in the future. Approach your classmates to help you deal with the class materials. In case you must miss Pre-Calculus class, ask your peers what information your professor covered and browse all sections to be ready four your next class. Even if you can’t check the material at the moment, make sure to be present next time!
Even if you really want to check the answer now, we strongly recommend working on your problem first, and then go and check the answer. If you have made some mistakes, make sure to re-work the problem in order to see the gaps. If possible, ensure to work on a problem of the same kind. Take your time to work carefully and slowly. Use your pencil, if possible. Make certain that every step that you take in your solution is accurate before you go on with the next step. Practice regularly to memorize all the steps, processes, and concepts.
Whenever you feel like you’re stuck in the middle of solving your Pre-Calculus problems, feel free to use online sources provided for college and university students. Online experts are there to cover all possible issues in the field of Pre-Calculus, such as Analytical Geometry, Algebra, and Trigonometry. If you do your best to solve problems at home, you will be able to transfer your knowledge to your class and get the desired college grade. Online resources include short and full video lessons that let you know more about the discipline under study. By means of easy-to-understand steps, students will be able to find out how things grow, move, expand, and travel. They also provide loads of tests and quizzes that let you self-asses. The possibilities are pretty much endless.
As you can see, working responsibly and hard is the key to rock in Pre-Calculus. You’re in college now, which means you can’t just put it off – you will be really sorry later. The demand on your time is tough now; however, it is important to pay due attention to this rigorous academic course. If you want to get the highest scores in Pre-Calculus, then work hard and manage your time properly to get there. Do your home assignment in Pre-Calculus, practice problems, and attend study sessions with your fields. If you put the hard work and right time into the process, there will be no problem that you won’t be able to handle on your own or with a little help.
Do not skip the problems. Before you try finding solutions for the next one, ensure to spend some time, thinking about what you have just done. What was the problem? How big was it? Was it only in the field of Pre-Calculus or some other disciplines that were involved as well? What steps did you have to take to solve one? Do you think you were (un)successful? Check the outline of your solution. Has it led you to success? At this stage, remember that even if it did and the right answer to your problem is correct, it is also important that the process of finding the solutions is correct as well.
Good luck! Work hard and enjoy the process. Pre-Calculus is a complex set of courses. However, it can be interesting and fun, if the slightest interest sparks!