Math is considered to be a subject that involves numbers and mathematic symbols. However, math is like a multifaceted diamond; it is comprised of many subjects that involve numbers and numerical symbols that range from easy to complex. Math becomes rather complicated when you note that math, depending on the specific area, also involves shapes and figures. It is a subject that one can barely wrap his or her mind around, yet it is a subject that holds great necessity in the world. The following subjects involved in math tutoring will give you an idea of just how advanced math tutoring has become.
One math tutoring subject is pre-algebra. The prefix “pre-“ means “before” so the subject is literally translated as “before algebra.” Pre-algebra prepares the student to solve both simple and complex mathematical equations. Pre-algebra also introduces the student to exponents, such as x2, and shows the student how to solve equations that involve more than one mathematical computation. You also learn how to substitute numbers for letters, such as x=5, y=6; solve the equation “x+y”, and solve mathematical equations. Pre-algebra is often provided for seventh and eighth graders and is an introduction to algebra 1 and 2, both of which come later.
Another math tutoring subject is geometry. Geometry involves concepts, such as finding the circumference of a circle, the area of a square, rectangle, or cylinder, the radius of a circle, the numerical value of the Greek letter “pi”, or proofs and theorems. Geometry requires that you write a theorem. For example, “if a, then b; if b, then c; a, therefore c”, and that you use mathematical computations to demonstrate the theorem in numerical terms. One of the most important theorems in all of geometry is the Pythagorean Theorem, named after the mathematician Pythagoras. The Pythagorean Theorem is as follows: “a2 + b2= c2. As you can see, geometry is all about measurements, degrees, equations, and so on.
Lastly, there are the subjects of algebra 1 and 2. Algebra 1 is an introduction to not only numerical symbols, but also the use of shapes, such as circles, squares, rectangles, and cylinders, on a graphing plane. Students also use the knowledge of graphs and quadrants from math as early as sixth grade to plot points on graphs and use these points to find the slope of two graph points. For example, if you are given two points on a graph—(3, 4) and (5, 6)—you must find the slope, or the distance, between them. This can be done by the following formula:
Taking this into account, we can find the slope (or distance) of the points (3, 4) and (5, 6):
(6-4)/(5-3)= (2)/2 = 2/2 = 1
The distance between the two coordinate points is the equivalent of 1. That is, there are 2 units of distance between “x” coordinates 3 and 5, and there are 2 units of distance between “y” coordinates 4 and 6.
Algebra 2 takes the points on a graph and continues to use them to do remarkable things, such as shading graph quadrants where each point serves as a solution to an algebraic inequality, and using the quadratic equation and midpoint formula to plot shapes on a graph.
Growing Stars offers online Math tutoring conducted by highly qualified tutors.