Love making paper airplanes, tangram puzzles, and origami? Geometry is the math behind them all. Students begin learning about geometry when they are taught different shapes and angles and how to create new objects from them. They are still interested even when it is time to learn how to determine how much water it will take to fill the bucket or paint they will need to paint the house, but when students get into theorems and postulates, the fun with geometry starts to fade. Terms like hyperbolic, conical, and elliptical send many student straight to panic mode and they struggle in their classes. Getting the help of a geometry tutor can provide the student with an understanding they may miss in the classroom.
What is it?
Euclidean/Plane Geometry is the study of flat space. Between every pair of points there is a unique line segment which is the shortest curve between those two points. These line segments can be extended to lines. Lines are infinitely long in both directions and for every pair of points on the line the segment of the line between them is the shortest curve that can be drawn between them. All of these ideas can be described by drawing on a flat piece of paper. From the laws of Euclidean Geometry, we get the famous Pythagorean Theorem.
Non-Euclidean Geometry is any geometry that is different from Euclidean geometry. It is a consistent system of definitions, assumptions, and proofs that describe such objects as points, lines and planes. The two most common non-Euclidean geometries are spherical geometry and hyperbolic geometry. The essential difference between Euclidean geometry and these two non-Euclidean geometries is the nature of parallel lines: In Euclidean geometry, given a point and a line, there is exactly one line through the point that is in the same plane as the given line and never intersects it. In spherical geometry there are no such lines. In hyperbolic geometry there are at least two distinct lines that pass through the point and are parallel to (in the same plane as and do not intersect) the given line.
Riemannian Geometry is the study of curved surfaces and higher dimensional spaces. For example, you might have a cylinder, or a sphere and your goal is to find the shortest curve between any pair of points on such a curved surface, also known as a minimal geodesic. Or you may look at the universe as a three dimensional space and attempt to find the distance between/around several planets.
Students can succeed in any geometry class. From elementary school to college, math can be a difficult subject for many students. We make it easier and more understandable for them by providing expert tutors in every mathematics class including geometry. We will be happy to provide you with all the information you need to choose the tutor that is best suited for the geometry class you or your student is taking. You will review their educational background and experience to know that the geometry tutors we offer are experts in their field.
High School Tutors
Band practice, soccer games, French club, dual enrollment, volunteering, study groups…the life of a high school student is never ending and neither is that of their parents. High school is a crucial time in everyone’s life. Most students tend to take on more than they can mentally and physically handle, but want to prove they can do it. As a parent, when you see the signs of your student struggling, do not wait until it’s too late. A simple call to hire a tutor now can make all the difference later. A tutor well versed in working with high school students understands these students are juggling a lot and they have ways to help the student stay focused, organized, well-prepared, and achieve their academic goals. Contact us today to learn more.
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