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## SAT Math Blogs

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The “silly mistake” is quite possibly the most mischievous and irksome of the math demons. It is a sly beast that lurks in the deepest recesses of your mind, emerging only periodically to sully your scores in a most disturbing way. Because of its crafty nature, it is able to lull you into the false belief that your thorough understanding of mathematic concepts will keep you safe from its clutches. But, as I’m sure you know, “silly mistakes” afflict even the most soundly prepared students. What exactly constitutes a “silly mistake?” Here are some common examples for standardized tests: Misreading the question (or failing to read the entire instructions) Filling in the wrong bubble on your answer sheet Making a slight arithmetic error Incorrectly copying down the original problem Turning a negative number into a positive number (or vice versa) I don’t care who you are, what your educational background is, or where you go to school… you have been... read more

I tutor multiple subjects and work as a teacher for Kaplan Career Institute as well. I teach Electrical Technicians for Kaplan, and I tutor a number of other subjects. My favorite subject is Physics. I'm currently tutoring a young man to improve his ASVAB score, so he can get into the Air Force. The ASVAB is the Armed Forces Vocational Aptitude Battery. I took the same test when I was in High School. I think it was administered in Lodi, New Jersey, and that was 30 years ago. If you know anyone who would like some extra help in Physics, Trigonometry, Chemistry, or any of the standardized admissions tests, please gimme a shout!

The news broke recently that the College Board is once again changing the SAT. These new changes, scheduled to be implemented in spring 2016, represent a pretty large departure from the SAT of the past. The College Board states that this new SAT will “ask students to apply a deep understanding of the few things shown by current research to matter most for college readiness and success.” Here are the changes that will have the biggest effect on test preparation, as I see them: An Increased Focus on Evidence-Based Analysis The new SAT will place a higher priority on analysis based on evidence. In the critical reading and writing sections students will now be asked to support their answers with evidence, including citing portions of the passages. In effect, the new SAT will require students not only to know the correct answer, but to be able to explain why the answer is correct, and point to specific evidence in the passage that supports their choice. The essay... read more

The answer is “Yes” you can learn Cryptography from these videos, but honestly you are going to need a real degree to do the real stuff. You can find out that number theory and probability theory are used. Their video says, “a lock is only as strong as its weakest point” and suggests that conceptually codes may be reduced to fingerprints. I learned its called Frequency Analysis when you count repetitions, presumably with the purpose of breaking a code. It helps if you have some practice. I have some through my classes and standardized tests. There is believe it or not some code braking on tests like The SAT and the SHSAT. On The SAT it was an advanced problem. I used the following technique to solve the SAT problem: serially shift and algebraically move, decode from a latin alphabet to a numerical one. This is problem 16 page 418 from ISBN-13: 978-0-87447-852-5, The College Board’s The Official SAT Study Guide: A four-digit integer, WXYZ, in which... read more

All the major test prep books for the SAT, ACT, and GRE -- published by companies like Kaplan, Princeton Review, Barron's, and Manhattan Test Prep -- are poorly written, conceptually deficient, and, worst of all, riddled with serious errors. Students can't be expected to learn from books that aren't even right! And I don't mean the books are riddled simply with typos, which unfortunately is also true, because they are so poorly edited; I mean they really are riddled with serious conceptual errors. Here's a simple example from the Introduction (page 23) to Manhattan's Strategy Guides for the Revised GRE. This passage appears in all eight of Manhattan's strategy guides, so it somehow went unnoticed after at least eight rounds of editing by allegedly "expert" readers and test-takers. See if you can spot the error! ---- "If ab=|a|x|b| which of the following must be true? I. a=b II. a>0 and b>0 III. ab>0 A. II only B. III only C... read more

Well, the new school year has started, and that means SAT test dates are fast approaching. In fact, the first one is this coming weekend. To anyone taking the SAT on Saturday, good luck! Remember to get a good night's sleep on Friday! If you are thinking about applying to college in the next few years, it might be time to schedule an SAT date! Remember, you can retake the test as many times as you need to, so don't be afraid to schedule an early date. Also, remember that the big SAT Redesign will be kicking into effect in the Spring of 2016, so if you are in the class of 2016 you may want to start your testing early, to make sure you have time to retake the current style of test and not have to relearn everything for a completely new test the following year. This semester's SAT test dates and registration deadlines are as follows: October 11th – Registration ends September 12th November 8th – Registration ends October 9th December... read more

Be Prepared! The night before, collect: plenty of sharpened #2 pencils an eraser a small pencil sharpener (in case your pencils break during the exam) a watch (you cannot rely on the proctor and there may not be a wall clock or it may be on the wall behind your seat) your calculator your admission ticket your identification  directions to the testing center tissues medicine (if necessary) disposable earplugs (if you find the background noise of people coughing and fidgeting distracting)   (https://sat.collegeboard.org/register/sat-test-day-checklist)   (http://www.actstudent.org/testprep/taking/) It may be helpful to collect these items in a clear plastic (Ziploc) bag that you can grab and go in the morning. If you have to search for these items in the morning, you are likely to forget something or become frazzled. Eat a substantial breakfast that will provide you with sufficient energy throughout the test... read more

For many students in the surrounding Richmond, Columbia and Burke counties welcome back to the classrooms! if you have any difficulties in class, do not hesitate to let your teachers or your parents know so that they can find you the most appropriate level of help before it is later in the school year and you end up being in failure of being promoted! I can't wait to see how I am able to help this school year!

Here are 3 tips to help you solve geometry problems involving shapes: (1) Understand the definitions of the shapes your questions ask you about. To help understand the definitions of the many shapes with fancy names, make flash cards with drawings of the shapes and study these cards 5 to 15 minutes at a time a few days in a row until you understand and remember the definitions of the shapes. (2) If you are dealing with two congruent (= same exact shape, angles, & size) or similar (same shape and angles, but different size with sides of shape A proportional to the sides of shape B) shapes and the questions seems very difficult, try re-drawing one of the shapes carefully so that the angles of the two different shapes that are equal to one another are in the same orientation, and then try again to solve the problem. Make sure that the sides of the two shapes that are proportional to one another are also oriented similarly. (3) To find out if two triangles are... read more

Test anxiety can impact everyone.  However, with a few strategies, you can overcome these anxieties and excel on your next standardized assessment.   Should you guess? This is a choice you will need to make based on the assessment you are taking.  For certain tests, such as the Praxis, you are scored based only on your correct answers.  However, keep the guessing to a minimum. On the SAT, you lose 1/4 of a point for an incorrect answer, but if you leave it blank, you lose 1 point.  So guessing should be used as a last resort.  Obviously, you should not guess on too many questions. Which leads me to...   Should you omit questions? Only skip questions you find extremely difficult.  Use other strategies to help you determine if you can, in fact, answer these questions before omitting them.  However, do not spend too much time using these strategies, as time is limited.   Should... read more

As the school year ramps up again, I wanted to put out a modified version of a Memo of Understanding http://en.wikipedia.org/wiki/Memo_of_understanding for parents and students. It seems each year in the rush to get through the first weeks of school parents and students forget the basic first good steps and then the spiral downwards occurs and then the need for obtaining a tutor and then the ‘wish for promises’ from a tutor. Pay attention to your child’s folder or agenda book. A student is generally not able to self regulate until well into high school. Some people never quite figure it out. Be the best person you can be by helping your child check for due dates, completeness, work turned in on time. Not only will this help your child learn to create and regulate a schedule, it prevents the following types of conversations I always disliked as a teacher ("Can you just give my child one big assignment to make up for the D/F so they can pass"; "I am going to... read more

Normally, an equation has a single solution when it contains only one undefined variable.  For example, take the equation 3x + 7 = 19.   3x + 7 = 19     [original equation] 3x = 12     [subtracted 7 from both sides] x = 4     [divided both sides by 3]   This is one case of a larger trend in algebra.  As I've already said, you can solve an equation for one answer when it contains a single variable.  However, this is derived from the larger rule that you can solve a set of equations where there are as many distinct equations as there are variables.  These are called simultaneous equations, and occur any time that two equations are both true over a certain domain.  In the more practical sense, this is what you should do if an exam asks you to solve for a value and gives you two different equations to use.   To solve simultaneous equations, we can use three strategies... read more

y = f(x) I can't tell you how many times I've had students come to me profoundly confused about their entire math unit, all because their teachers never fully explained this concept. Teachers throw this equation up on the board without discussion as if it explains everything – which it does, but only if you know what it means. So let's discuss! First off, it's important to remember that this is not just an equation; it's an indication of a larger concept. We'll get to that in a minute, but let's start at the beginning. Imagine that I have a little machine which I set on the table in front of you and turn on. You place a number in the slot in the top, and the machine begins to hum and churn. After a few moments, a drawer opens at the bottom and you pull out a different number. You can repeat this with any number you like, any number of times. Now this is a single-purpose machine, which means it has one rule that it uses to transform the starting number into the... read more

SAT PREP! As a seasoned SAT tutor, my students have informed me of many different online resources for SAT prep. Some have been quite useful, while others are not so much. In this post, I will rank 5 resource links to SAT review websites or apps that I find helpful in preparing for the SAT. Keep in mind that these resources may be immensely helpful but are not perfect solutions for stand-alone SAT preparation. The best SAT preparation is done with a live tutor who is knowledgable about the SAT itself and about the different strategies for test-taking that work best for each individual.   Top 5 SAT Prep Resources 1. CollegeBoard.com's  full practice SAT exam is the very first place every student should begin. Who better to provide SAT test prep, than the makers of the SAT?! 2. INeedAPencil is a great free resource for an entire comprehensive prep program funded by the CK-12 Foundation. 3. Number2 is another free resource with... read more

I was a fairly typical young person and, like my peers, counted down the days until summer. My mother was a math professor, so I never stopped doing math during the summer, but felt like other parts of my brain became a little mushy in the summer. Come September, it was difficult to get back into the swing of writing papers and studying history and memorizing diagrams. I was out of practice and lost my routine. As an adult, I have almost continually taken classes, because I enjoy learning and find that from class to class, I need to maintain a routine, i.e. a study area and a time of day that I complete my assignments. I have also found that reviewing material a week or two before the course begins helps me to start the class with more confidence and competence. I am a big believer in confidence fueling success and I wonder if younger students practiced assignments in the week or two prior to return to school, if that confidence would help the transition to the school year... read more

With the wealth of SAT prep materials out there, it can be tough to find the best resources for SAT study. I've been tutoring for the SAT for over a decade, and these are the materials I've found to be the most helpful.     SAT General Study   For all-around SAT preparation, nothing beats The Official SAT Study Guide, published by the College Board. With ten full practice tests, this book contains plenty of study material for all sections of the test. Because the questions are written by the College Board and, in many cases, have appeared on actual administered SATs, they accurately reflect what students will see on test day. (I've never found a test written by a third-party company that comes close to matching actual SAT questions, and I do not recommend third-party practice tests for study.) Working through the questions in this book is the best, most effective way for any student to prepare for the test.   In... read more

I couldn't solve an SAT math problem (farmer picking pumpkins of the right weight and asking what ranges will he NOT pick) where I manipulated the word problem on a number line graph to give  x<2 and x>10.  I was asked to pick the answer that could be the correct one.   The answers I had to choose from were in the form of absolute value inequality equations, I solved all five answers and found that the answer (D)  |x-6| >4  was the correct answer.  This is one way to do this, grunt work/crank it out, but I want to explain to my student (AND MYSELF) how to do it analytically.   It appears that what I want to do is generate an absolute value inequality equation from data, seems simple enough, but I cannot find any references on the internet where this is done, it's always the other way.   Can someone explain to me the logic of how to do it?   From looking at the steps I went through to solve the... read more

As you may know, I am a big fan of the well-known author and brain specialist, Dr. Daniel Amen. He mentions in several of his books that Physical Exercise is good for the brain. I have read of research studies that showed a clear correlation between IMPROVEMENT in students' test scores in math and science, and their level of physical activity (for example, when math class followed PE class, the students had significantly higher scores). Maybe we should schedule PE before all math classes in our schools. What do you think about that idea? This morning I read an online article on the myhealthnewsdaily site, entitled "6 Foods That Are Good for Your Brain," and another article about how Physical Exercise helps maintain healthy brain in older adults too. The second article, "For a Healthy Brain, Physical Exercise Trumps Mental Workout" was found under Yahoo News. The remainder of this note is quoted from that article: Regular physical exercise appears... read more

Practice is the key to SAT mastery. No matter what preparatory course you take, what tutor you hire, or what study guides you purchase, all of your resources are for naught if you don’t devote significant time and effort towards practice exams. Knocking out a healthy load of practice tests is particularly important for standardized exams. Why? Because standardization means that the test makers (a.k.a. the College Board) are bound by an obligatory adherence to consistency. As such, from year to year, while the precise questions vary, the core subjects and concepts are constant. Moreover, the style of questions is uniform. Translation: the more questions you see, the fewer curve balls can be hurled your way. With enough practice, you can familiarize yourself with the majority of possible question types, which will (1) improve your test taking abilities and (2) bolster your confidence come test day. Another reason why practice tests are so important is that they... read more

Nailing an 800 on the math portion of the SAT can be a tricky feat, even if you are steadfastly familiar with all of the requisite formulas and rules. A difficult problem can overwhelm even the most prepared individual come test day. Time constraints, test surroundings, and the overall weight of the exam can unnerve the most grounded students. So what do you do when panic strikes and your mind draws a blank? How do you re-center yourself and charge forward with ferocity and confidence? What you do is this: write everything down from the problem. This is the most important part of the problem solving process. As you peruse the question, write down the pertinent data and establish relationships by setting up equations. This exercise will help you see solutions that were previously difficult to decipher. As you work on practice tests and sample problems, you must work diligently to form a solid habit of writing down important bits of information as you plow through... read more