Download our SAT Facts and Formulas Sheet PSAT Information and Preparation It is always SAT Season! This means that any student that is going to take the SAT this year should be doing a minimum of 10 math questions per day and 30 questions per day in the two months prior to the test. Always self correct and then get help on the questions that are confusing you or you think there ought to be a faster way to do it! Many people believe that on an SAT Math Section if 20 questions are to be answered in 25 minutes, that means slightly more than one minute per question. This could not be more We work with students on many of the special types of questions that the SAT asks so that they can answer many questions very quickly. Some common examples are below. We also work with students on their math skills so that they will be able to answer the difficult questions. - Special Triangles (45
^{o}45^{o}90^{o}) and (30^{o}60^{o}90^{o}): We teach unique ways that allow students to answer special triangle questions in mere seconds without the need to use a calculator. For example (and this is easier shown with a paper and pencil) if a square has a diagonal of 10 units, what is the area? Because a square that consists of two 45^{o}45^{o}90^{o}triangles, the ratio of the short sides to the diagonal is always 1 : √2. This means when going from the short to the long, one must multiply by √2. Conversely, when going from the long to the short sides one must divide by √2, making the short sides (10) / (√2). The area of a square is equal to the square of one side length so that makes the area of the square: - Length Ratios and Area Ratios: We teach methods to allow students to answer these questions very quickly. The idea is that if a length ratio of two similar objects is a : b, the area ratio is a
^{2}: b^{2}and the volume ratio is a^{3}: b^{3}. For example, if the circumference of a small circle is 5 in. and the circumference of a larger circle is 10 in., the length ration is 5 : 10 which is reduces to 1 : 2, meaning the area ratio of the small circle to the large circle is 1^{2}: 2^{2}or 1 : 4. The volume ratio would be 1^{3}: 2^{3}or 1 : 8.
- Pythagorean Triple Triangles: There are many special right triangles that have side lengths that are all integers. These types of triangles are used almost exclusively on the SAT. The most common ones are the 3,4,5 and multiples thereof as well as the 5,12,13 8,15,17 7,24,25. If students are familiar with these triangles they can immediately recognize the missing side without the need for the pythagorean formula, a
^{2}+ b^{2}= c^{2}. This makes computing areas very quick.
- Unit Conversions: These questions commonly use speed, distance, and time but can be posed in a variety of ways. We teach students how to recognize these questions and conquer them with confidence.
- Another common question type is as follows: If it takes 3 people 8 days to paint a large house, how long would it take 4 people? Here's the idea: If 3 people take 8 days that means it takes 3 people x 8 days = 24 people-days to paint the house. Now, 24 people-days can also be thought of as 24 people-days = 4 people x 6 days. So it would take 6 days for 4 people. Attempting to do this question other ways can be very time consuming.
Before each session it is absolutely essential for students to practice, self correct, and re-try problems that were done incorrectly. This way students become more invested in the problems and much deeper learning takes place during tutoring sessions.SAT Tutoring helps only those that put in a large effort on their own time while putting into practice the methodologies we teach.For SAT Tutoring we generally meet students one on one but other arrangements can be made. We have a large database of problems to draw from in addition to Standard Textbooks. Which Math Subject Test to I choose? Click here for info from the College Board site (then scroll down) |