## BASIC MATHEMATICS

Mathematics is like a pyramid, where each level (starting at Basic Mathematics) serves as a prerequisite to advance to and succeed in the next level (i.e. Pre-Algebra). For instance, before one can learn how to add 3-digit numbers, such as 256 + 128, it is important to know how to add 1-digit and 2-digit numbers like 1 + 5 and 24 + 50. By the same token, before learning Algebra, a solid understanding of Pre-Algebra is a must.

While our main goal is to help each student achieve a thorough understanding of mathematics, above all, our math tutors want to create a stress-free and comfortable learning environment where the student feels permitted to learn at his or her own pace. To do this, our tutors offer a wealth of explanations and examples in each lesson while encouraging the student to become his/her own teacher. It has been proven that teaching oneself largely helps to fully grasp the subject at hand. At the end of a program, the student will possess a strong knowledge of basic mathematics and will be very much prepared to advance to the next level math course.

## (PRE-)ALGEBRA

Algebra is the language through which we describe patterns. Think of it as a shorthand of sorts. As opposed to having to do something over and over again, Algebra gives you a simple way to express that repetitive process. It’s also seen as a “gatekeeper” subject. Once you achieve an understanding of Algebra, the higher-level math subjects become more accessible.

This branch of math is a requirement in a variety of occupations, from carpentry and engineering to even fashion design. Therefore, our tutorial sessions cover a lot of ground, including (non-)linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, and ratios. While this may seem overwhelming, our highly qualified math tutors are skilled in teaching the material in an organized, clear fashion that has proven successful for all our previous students.

## ADVANCED MATH: GEOMETRY, TRIGONOMOTRY, (PRE-)CALCULUS, STATISTICS

Advanced level mathematics extends from Trigonometry to Calculus (I, II, and III). Trigonometry is the study of sine, cosine, and tangent functions and the relationships between them (trigonometric identities). Identifying the sine, cosine, and tangent graphs is an essential skill in (pre-)calculus and even higher level math. In Trig courses, much time is devoted to analyzing triangles and learning about the inverse trigonometric functions and polar coordinates.

For (Pre-)Calculus, the lessons are tailored to learning linear functions and systems of linear equations, polynomials, rational functions, exponential functions, logarithmic functions, and conic sections (shapes you get by cutting a cone at various angles-circles, ellipses, parabolas, and hyperbolas).

Calculus is a whole new language when advancing in the math world as it is not static like other math but instead studies the rate of change. This is why we emphasize the importance of establishing a strong skillset of basic math up to pre-calculus. Our lessons teach both branches of calculus, i.e. differential (derivatives) and integral calculus, and incorporate practical examples.