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Geometry

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  • pg 1
									Geometry is a branch of mathematics which, as the name suggests, combines abstract algebra,
especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems
of polynomials. When there is more than one variable, geometric considerations enter and are
important to understand the phenomenon. One can say that the subject starts where equation solving
leaves off, and it becomes at least as important to understand the totality of solutions of a system of
equations as to find some solution; this does lead into some of the deepest waters in the whole of
mathematics, both conceptually and in terms of technique.
Math is something that every good student should know, but geometry is something that not
everybody studies regularly. There are, however, several standardized tests that may require students
to know a fair amount about geometry. There are also several tests that different institutions have
created, such as the ACT and the SAT, which can test a student’s ability to think both quickly and
efficiently. Colleges typically look at these scores to help them determine which students they want
to have joining their student body. Because high school is such an important step on the way to
college, it is very important to learn the things that will most help you, such as geometry.
Test Preparation
Because there are so many standardized tests that require you to know a good amount of math,
geometry included, it is important to know your subject. Not only is it important to know the
geometry, however, it is also very important to do all you can in order to prepare for the test in other
ways. Because the tests are usually timed, it is very important to learn how to prepare for tests before
you go into them. Here are some tips that can get you started:
      The first thing that you should do when you’re preparing for a test is to make sure you know
     what you can expect when you very first go into your test. It is a timed test? If so, how much
     time will you have? Are there sections, or is it solely a geometry test? The majority of tests
     that colleges will look at, such as the SAT and ACT, will be timed. For timed tests, the best thing
     that you can do is practice, so that you can make sure you can do problems quickly enough. The
     more you do something, the easier it is to go through the process of doing it. The more you
     practice geometry problems, the quicker you will become at doing them.
      Make sure you practice everything that might be on your test. There is a wide variety of
     things that could appear on a geometry test, so be sure to familiarize yourself with everything that
     might be on it. You never know what might be on a test, so you have to make sure you cover all
     of your bases and know everything that could be on it. Be sure you can find the height, width,
     circumference, etc. Do some research and become familiar with the kinds of geometry that
     college-bound tests may contain, and then get the appropriate books and practice.
      Be sure to get enough sleep the night prior to your test. If you’re tired, your brain isn’t
     likely to function as quickly, and speed is vital when it comes to timed tests. Also, be sure to eat
     a good dinner the night before the test, and a good breakfast the day of the test. If you’re hungry,
     your mind isn’t likely to be on the problems that you’re trying to work through; it’ll probably be
     on your growling stomach.
      If you’re taking a standardized test that many people have taken, take practice tests that will
     familiarize you with the material and the kinds of geometry questions that will be on the test.
     Why would you go into a test cold turkey when you can know exactly what to expect before you
     even open your test packet? For tests like the ACT and the SAT, there are practice tests that are
     specifically designed to prepare you for the actual test. It is silly to not take advantage of such
     practice tests, because the more you practice with them, the more you will know when you
     actually go in to take the test.

								
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