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.
Practice. Practice. Practice. For most students success in any math course comes from regular studying and practicing habits. However, we find that geometry is the one math class can be a foreign language for many students. No matter the level of the geometry class that the student is taking, we have expert tutors available and ready to help. All of our geometry tutors have a degree in mathematics, science, or a related field like engineering. Our goal is to provide a geometry tutor that can make understanding the concepts simple and straightforward and to help the student achieve success in the classroom.
High School Tutors
“High school isn’t what is used to be.” High school students are inundated with grades, sports, work, volunteering, activities, and sometimes a little old fashioned teenage fun. Most students tend to take on more than they can mentally and physically handle, but want to prove they can do it. When a high school student shows signs of struggling it is important to get them the help they need as soon as possible. If your high school student begins wondering where they left their books, complaining they don’t have enough time to study, exclaiming the teacher isn’t fair, begins to say they just don’t understand or it’s too complicated, it’s time. It’s time to call for help. 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. Call or email us to day and we will help you find the right tutor for your student
Results-oriented and compassionate Denver tutors are available now to help your child reach his or her full potential. We know that parents know their child best, so we work with you to insure the tutoring is enjoyable and efficient.
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We believe that the most effective tutoring occurs when you have the undivided attention of a highly qualified and experienced tutor by your side. Our exceptional tutors are not only experienced and educated, but are experts in their field and passionate about teaching others. We will always provide you with a tutor specifically qualified and experienced in the subject matter you need. And for your peace of mind, we conduct a nation-wide criminal background check, sexual predator check and social security verification on every single tutor we offer you. Before you invest money and time into tutoring sessions, be sure you have selected the right tutor for you.