SAT Intro Workbook Getting Ready for College Conference Fall 2013 © Study Smart Tutors 2013 Setting Goals SAT Course Goal Sheet Colleges that I want to apply to: 1. ____________________ Average 2012 Freshman SAT Score: ____________________ Math________________Reading___________________Writing___________________ 2. ____________________ Average 2012 Freshman SAT Score: ____________________ Math________________Reading___________________Writing___________________ 3. ____________________ Average 2012 Freshman SAT Score: ___________________ Math________________Reading___________________Writing___________________ 4. ____________________ Average 2012 Freshman SAT Score: ____________________ Math________________Reading___________________Writing___________________ 5. ____________________ Average 2012 SAT Score: ___________________ Math________________Reading___________________Writing___________________ Math Raw Score Target:________ Reading Raw Score Target:________ Writing Raw Score Target:________ Why are you preparing for the SAT? ______________________________________________________________________________ ______________________________________________________________________________ Goals for SAT Prep 1._____________________________________________________________________________ 2._____________________________________________________________________________ 3. ____________________________________________________________________________ 1 © Study Smart Tutors Inc 2013 Scaled vs. Raw The following table outlines how the SAT converts from “raw scores” in each section to scaled scores (out of 800). Take note of the scaled scores in each section that you need to receive to achieve their goals, and then work backwards to figure out the “Raw Score” equivalents. Circle the approximate Raw Score that you will be striving to achieve in each section. Raw Score 67 65 60 55 54 50 49 45 40 35 30 25 20 15 10 5 0 -5 Critical Reading (67 Questions) 800 740-800 660-760 630-710 620-700 600-660 590-650 560-620 530-590 500-560 470-530 440-500 410-470 380-440 340-400 270-370 200-290 200-210 Math (54 Questions) 800 690-770 680-740 630-690 580-660 540-620 510-570 470-530 430-490 400-460 340-420 280-380 210-310 200-210 Writing (49 questions + essay) 780-800 700-800 640-740 590-690 540-640 490-590 450-550 400-500 350-450 300-400 240-340 200-230 Definition of Raw Scores: The SAT is not scored in the same way as most tests. For every question you answer correctly you will receive 1 raw point. For each question that you answer incorrectly, you will lose ¼ of a raw point. Every question that you leave blank will not count towards your score. To compute your raw scores, add the total number of correct answers and subtract a ¼ point for every incorrect answer. Example: If my target math score is around 600, then my raw score goal is somewhere between 45 and 50. To get that raw score, I would need to answer about 48 correct and miss 6, assuming that I leave no questions blanks. (48-(.25(6)) = 46.5. However, depending on the number of questions that I leave blank, different combinations of correct and incorrect answers can yield the same raw score. 2 © Study Smart Tutors Inc 2013 SAT Basics SAT Introduction: Before we get into any specifics of how to prepare for the SAT, it’s important to understand exactly what the SAT is, what material will be tested and so on. Take a few minutes and try to digest these facts about the SAT, because some of them may be surprising. What does the SAT measure? The SAT features many types of questions including math, writing and vocabulary. However, you could be the best writer in the world or have received A+’s on all of your high school math tests and not do well on the SAT. The SAT claims to measure your reasoning ability in these subject areas, but really the SAT simply measures your knowledge of the SAT itself. Sound silly? It is! What’s on the SAT? The SAT will be divided into 10 sections and will take a total of 3 hours and 45 minutes. Only 9 of these 10 sections will be counted to your score, one section will be used as an experimental section and will be used to collect data for future tests. The 25-minute essay question will always come first and the 10-minute writing section always comes last. The other seven sections and the experimental section can come in any order. Sections Writing Math Critical Reading Writing Math Experimental Critical Reading Math Critical Reading Writing Time 25 minutes 25 minutes 25 minutes 25 minutes 25 minutes 25 minutes 25 minutes 20 minutes 20 minutes 10 minutes Number of Questions 1 essay 20 multiple choice 24 multiple choice 35 multiple choice 8 multiple choice/10 grid in ??? 24 multiple choice 16 multiple choice 19 multiple choice 14 multiple choice 3 © Study Smart Tutors Inc 2013 Test-Taking Tips How to think about the SAT: Here’s the big secret to learn for standardized tests. They are standardized! This means that they are basically the same each year and that they always test certain concepts in the same way. If you can learn and begin to understand the way that ETS expects you to think, you can begin to outsmart them and spot the traps that will be laid for you. How is the SAT scored? The SAT is not scored in the same way as most tests. For every question you answer correctly you will receive 1 raw point. For each question that you answer incorrectly, you will lose ¼ of a raw point. Every question that you leave blank will not count towards your score. Scaled vs. Raw The following table outlines how the SAT converts from “raw scores” in each section to scaled scores (out of 800). Take note of the scaled scores in each section that you need to receive to achieve your goals, then work backwards to figure out how many questions you need to get correct in order to achieve your goal! Raw Score Critical Reading (67 Questions) 67 65 60 55 54 50 49 45 40 35 30 25 20 15 10 5 0 -5 800 740-800 660-760 630-710 620-700 600-660 590-650 560-620 530-590 500-560 470-530 440-500 410-470 380-440 340-400 270-370 200-290 200-210 Math (54 Questions) Writing (49 questions + essay) 800 690-770 680-740 630-690 580-660 540-620 510-570 470-530 430-490 400-460 340-420 280-380 210-310 200-210 78-80 70-80 64-74 59-69 54-64 49-59 45-55 40-50 35-45 30-40 24-34 20-23 4 © Study Smart Tutors Inc 2013 The Test Booklet: Your answer sheet will be the only thing that will be graded. Make sure to mark up your test booklet. Physically cross out wrong answers, draw diagrams, and don’t be afraid to show your work. On the reading sections, underline key parts of the passages and make notes in the margins as you go. Process of Elimination: Every multiple choice question on the SAT has four wrong answers and only one correct answer. By looking for the wrong answers instead of the correct ones, you will often be left with just a few answer choices from which you can make an educated guess. The Guessing Penalty: To compute your raw score on each section, the SAT takes the number of questions that you get right and subtracts a fourth of a point for each question that you get wrong. This penalty exists to supposedly prevent blind guessing. Let’s think a little bit more about how this penalty actually works. Think about a new way of playing blackjack. What if every time you win a hand that you win $1 and that every time you lose a hand, you lose a quarter. If you assume that you have equal chances of winning and losing each hand, would this be a game that you would want to play? This essentially means that if you can eliminate one answer choice that you know is incorrect, it is always in your best interest to guess. Try to use process of elimination to solve the following question. Don’t worry, there won’t be any questions like this on the actual SAT. What is the capital of North Dakota? (A) Billings (B) Dallas (C) Bismarck (D) Fargo (E) Boston Which answers can you eliminate? Probably (B) and (E). If you have no idea from there, should you guess or leave it blank? 5 © Study Smart Tutors Inc 2013 Order of Difficulty: ETS orders most sections from easy to difficult. Why do they do this? ETS orders the sections this way partially to give you a false sense of security so that when they start throwing traps at you, you will already be lulled to sleep. Also, ETS puts hard questions at the end in hopes that you will run out of time or feel pressured by the time and make careless errors. Further, they hope that you will rush through the easy questions to get to the hard ones. Which Sections have a specific order of difficulty? Question types with order of difficulty: 1. Sentence completions 2. All math questions 3. Error IDs 4. Improving sentences Question types with NO order of difficulty: 1. Essay 2. Reading comprehension questions 3. Improving paragraphs Be quick but don’t hurry: Famous UCLA basketball coach John Wooden told this to his players on the basketball court, but it applies to the SAT as well. The SAT isn’t scored like a typical test where the hard questions are worth more points than the easy ones. On the SAT, every question is worth the same amount. How does this help you? Since all the questions are worth the same amount, don’t rush through the easy and medium questions to get to the hard ones. Concentrate on the easy and medium questions so that you won’t lose points on questions that you know the answer to. Most test-takers hurt their scores by trying to answer every question. The only people who should make sure to try to answer every question are those looking to score over 700 in each section. Since this is rare, focus your attention on easy and medium questions and don’t worry too much about the hard ones. 6 © Study Smart Tutors Inc 2013 John Q. Public What number question is this? What type of student does the SAT want to answer this question correctly? Where are the trap answers? Why are the answers that John will likely pick be wrong? John Q. Public Think about the type of student that ETS, the test writers, want you to be. In this guide, we will refer to the average student as John Q. Public. John is the average student in both test scores and high school grades. He surely isn’t brilliant, but he isn’t completely dumb either. John is the type of student who will fall for all of ETS’s traps. Take a look at the following question. The goal for now is not to solve this question correctly but to look for the trap answers. Ex: Cindy walked to work at an average speed of 6 miles an hour and biked back along the same route at 10 miles per hour. If her total traveling time was 2 hours, how many miles is it from her house to work? (A) 6 (B) 6.25 (C) 7.5 (D) 8 (E) 10 Remember, John can only do very simple math and he does not understand difficult math concepts. He trusts his hunch and chooses the answer that jumps out at him. Are these types of answers going to be correct on difficult questions? John Q. Public Summary: On easy questions, John trusts his hunches, and he gets those problems right. On medium questions, John trusts his hunches, and they are sometimes right and sometimes wrong. On difficult questions, John trusts his hunches and they are never correct! 7 © Study Smart Tutors Inc 2013 SAT Math © Study Smart Tutors 2013 SAT Math Intro General Strategies, Information, and Tips The Math portion of the SAT Contains Three Sections: o 18 Questions Multiple Choice/Grid-Ins…25 Minutes o 20 Questions Multiple Choice…25 Minutes o 16 Questions Multiple Choice…20 Minutes The SAT Math sections are composed of: Basic Arithmetic (Fundamentals) Ratios and proportions Percents Averages Probability Permutations Other little things Algebra I Algebra II Geometry Other Little Things 9 © Study Smart Tutors Inc 2013 What about Formulas? The formulas that you will need for the SAT Math test are given to you at the beginning of each section. Do not hesitate to flip back to these formulas throughout the test. Students often make silly mistakes on problems that include "special right triangles" Why are these mistakes silly? Because the formulas for special right triangles are GIVEN to you! To Guess or not to Guess? If you can eliminate ONE answer, it pays to guess! You don’t have to answer every question to get a good score! There is NO PENALTY for guessing on GRID-INS! Quick facts: 1. __________________________________________________________________ __________________________________________________________________ _________________________________________________________________ 2. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ Calculator Quick Facts: o Make sure to bring a calculator to the test! o Your calculator doesn’t need to be fancy. Just make sure that it doesn’t beep or have a keyboard. o Be careful when putting numbers in the calculator. Check each number as you input it. Always clear your work after you finish a problem or a step. o Your calculator only does what you tell it. Use the calculator as a tool, not a crutch. o Make sure you are performing equations in the proper order, whether you are using pencil and paper or a calculator. o Make sure your calculator has fresh batteries. It’s always a good idea to bring extras, just in case. 10 © Study Smart Tutors Inc 2013 POE (Process of Elimination): Remember, every question will have four WRONG answers and only one CORRECT answer! Use Order of Difficulty to eliminate “trap” answers Don’t Forget: Easy questions = Easy answers Hard Questions = Hard Answers Take a look at tough problem… A shirt is selling for $100 after a 20% discount. What is the original price? (A) $200 (B) $125 (C) $120 (D) $80 (E) $75 Step 1- Identify the difficulty level of the problem. What type of problem is this one? Step 2-What would John Q. Public do? (Where are the seemingly obvious answers) Step 3- Are John’s answers “trap” answers? Step 4- What else can we eliminate? Why? Step 5- Getting the answer. At this point, you should have eliminated everything except for the correct answer. 11 © Study Smart Tutors Inc 2013 Key Terms in Math Avoiding Algebra on the SAT BEST MATH TACTIC EVER PLUG IN THE ANSWER Choices! This tactic allows us to work the problem backwards to solve easy questions quickly and to turn difficult questions into easy ones! When do I use the Answer Choices to solve the problem backwards? When there are numbers in the answer choices or you feel the strong urge to write out a long algebraic expression! (Ex: age problems) Step 1_____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ Step 2_____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ Step 3_____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ Step 4_____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ 12 © Study Smart Tutors Inc 2013 1. Marc is half as old as Tony and three times as old as Ben. If the sum of their ages is 40, how old is Marc? (A) 3 (B) 6 (C) 12 (D) 18 (E) 24 Step 1-Label the answer choices: What are the answers telling us? Step 2-How many columns will we need to label? Step 3-Where should we start? With (C) of course! Marc’s Age: Sum (A) 3 (B) 6 (C) 12 (D) 18 (E) 24 Tony’s Age (marc*__): ___ Ben’s Age(marc/___) ___ ____ Unlike when Plugging-In, when we use PITA we DO NOT need to test all the answers after we have found one that satisfies all the conditions. Remember, when you find the CORRECT ANSWER, then STOP and move on! 13 © Study Smart Tutors Inc 2013 More Practice with Plugging in the Answer Choices 2. Serena gives her butler a satin suit and her driver a diamond necklace. If the suit is worth one-fifth of what the necklace is worth, and if the two items together are worth $4800, how much is the necklace worth? (A) $800 (B) $960 (C) $3840 (D) $4000 (E) $4250 3. Jason has twice as many baseballs as Matt. If Jason gives Matt three baseballs, Jason would have one baseball less than Matt. How many baseballs does Jason currently have? (A) 4 (B) 5 (C) 7 (D) 8 (E) 10 4. A private plane pilot flies her plane for two days. The distance she flew on the first day was 150 km less than twice the distance she flew on the second day. If she flew a total of 600 km, what was the distance she flew, in km that she flew on the second day? (A) 250 (B) 275 (C) 350 (D) 375 (E) 450 5. If (q-6)(q-6) = 169, then one Possible value of q is? (A) √7 (B) √13 (C) 7 (D) 19 (E) 49 14 © Study Smart Tutors Inc 2013 15 © Study Smart Tutors Inc 2013 Name:_____________________________________ What were your goals for this SAT course, and what did YOU do to meet them? ______________________________________________________________________________ ______________________________________________________________________________ How valuable an experience did you have during this course? 0 1 2 3 4 5 6 7 8 9 10 How hard did you work both inside and outside of class during this course? 0 1 2 3 4 5 6 7 8 9 10 Three Most Valuable SAT Lessons/Tricks 1._____________________________________________________________________________ 2._____________________________________________________________________________ 3. ____________________________________________________________________________ How satisfied were you with the Study Smart Tutors teachers? ______________________________________________________________________________ ______________________________________________________________________________ How satisfied were you with the timing and length of the lessons? ______________________________________________________________________________ ______________________________________________________________________________ What areas of the SAT would like to practice further? ______________________________________________________________________________ ______________________________________________________________________________ What further information would you like to have? ______________________________________________________________________________ ______________________________________________________________________________ Other comments and suggestions ______________________________________________________________________________ ______________________________________________________________________________ 16 © Study Smart Tutors Inc 2013