Mike’s current tutoring subjects are listed at the left. You
can read more about
Mike’s qualifications in specific subjects below.
The math section on the ACT test is 60 minutes long and contains 60 questions, with the content of these questions divided as follows (according to the ACT website):
Elementary Algebra: 17%
Intermediate Algebra: 15%
Coordinate Geometry: 15%
Plane Geometry: 23%
I performed well in all the above subjects during high school, so I was able to score high on standardized math tests without really studying for them. That is also my teaching philosophy on this subject: my student would initially master all the subjects that the ACT math section covers. When that is done, only minimal ACT-specific preparation is necessary.
Since this approach worked well for me during my high school years, I'm confident that a student taught by me would score high on the ACT math section via the same methods.
First-year algebra students, after coming out of elementary and middle school math, are generally asked to do the following, among other things:
-the quadratic formula
-systems of equations
I have had experience helping others in these topics mentioned above, as well as excellent math scores throughout my high school career, so I think I would make a good Algebra 1 tutor.
Second-year algebra students are generally asked to learn the following, among other things:
-exponential and logarithmic functions
-imaginary and complex numbers
-multiple-power polynomial equations
As a 10th grader, I easily scored an A in Algebra 2, as well as helping a number of my peers receive better scores than before? Therefore, I am of the opinion that I would be a capable Algebra 2 tutor.
Calculus at the high school level will cover the more basic topics of the subject, such as limits, differentiation, anti-derivatives, basic volume integration and the like. At the university level, the more complex topics are introduced, such as multiple integrals, line integrals and differential equations. In high school, a good foundation is the most important, while creative problem-solving methods are most helpful in college.
I took two years of IB Calculus in high school, receiving full marks on the IB Standard Level math test, SAT I math section and SAT II math subject test. I have also tutored a number of other students on this subject and helped them substantially improve their math grades. My ability and experience make me feel that I am a competent calculus tutor.
In high school, I was a chemistry specialist, taking both the IB Standard and Higher Level courses. I was blessed with a good teacher, so I understood the material on an intuitive level and received A's in the subject throughout my high school years. I think that if a student intuitively understands chemistry, he/she has no reason to not do as well as me.
In geometry, students are first asked to understand the basics by obtaining full command of lines and angles, before moving on to polygons (such as triangles) and circles. At the high school level, some 3-dimensional geometry topics are covered, but not in great detail.
The great thing about this subject is that it is easily applicable to real life, so students are generally more motivated to learn it than other mathematical subjects. Therefore, a good geometry tutor should not only know the subject inside-out but also be able to turn the enthusiasm into interesting lectures. Having received A's in math throughout my high school career and naturally liking geometry, I think I am the person to get the best out of the student.
The point of prealgebra (as it is taught in the curriculum of some schools) is to provide a seamless transition from simple arithmetic to algebra. Because of that, it's important for a teacher to have very sound fundamentals in the subject him/herself. I think that I have exactly this quality and the enthusiasm to teach it, which is why you should choose me to be tutor in this subject.
In most high school curricula, precalculus is placed in between second-year algebra and calculus because it is thought that the direct jump from algebra to calculus would be too difficult for many people. Therefore, a good precalculus teacher should have the patience to go through these fundamentals with students.
I took two years of IB Calculus in high school and scored a perfect 7 on the Standard Level math test. On top of that, I also have experience in helping others at this level, focusing on the basics throughout. Therefore, I feel that I am qualified to tutor in precalculus.
The SAT I math section tests the student's knowledge of high school mathematics, which is largely Algebra 1, Algebra 2 and Geometry, with some trigonometric problems sprinkled in. It stops just short of calculus, which is the first math class for most people in university.
Having scored a perfect 800 on both the SAT I math section and the SAT II math test, I think that I am perfectly capable of teaching high-school students on the subject and getting the best out of them.
SAT Reading is really not difficult; the key is to watch for the little tricks that the questions may have in store for you, as well as remembering a good level of vocabulary. Having scored a 730 on the reading section, I think that I am in a position to be tutoring others. With me tutoring SAT Reading, you can rest assured that you are in good hands.
I've liked geometry since I first encountered it as a child; for every problem you saw, you could imagine a real-world application. Trigonometry, the study of triangles, was no exception to my interest. I remember taking extra time outside of class to play around with the trigonometric ratios, just as to intuitively understand the material.
The most important thing in teaching trigonometry is to establish solid fundamentals, since otherwise it would be very difficult to progress. Since I took extra time to understand these fundamentals, I think I have the patience to teach them to my students, whoever they may be.