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Oberlin College (physics)
Wayne State University, Experimental Physics (PhD)
I cover all areas of SAT and ACT test preparation using an amazing talent for customizing my lessons to the students' needs. Students working from typical test prep books will find that these books need to cover all students' levels in the same book. Typically these books, with dedicated study, can get the student to 680 (2050) for SAT and about 29-30 combined score for ACT. I have demonstrated consistently over the past year with WyzAnt that I easily can beat that, sometimes by a huge margin. My results are better than you find on the websites of Kaplan, Princeton Review, Elite Test Prep, and others. With my Ph.D. in physics and 25 years of practical experience in business, I also am a good tutor for physics. I have also brought 2 students through SAT Physics Subject Test.
I have tutored over 300 hours in the last 12 months with WyzAnt. 15 of my students have been in SAT and ACT. They have improved their scores for the SAT and/or the ACT. My stated goal to parents is to have more increase in test scores than the parent expected coming in. This last ACT test I had four students take the test. One improved from 26 up to 33.5. Another from 27.0 up to 34.75 (34, 35, 35, and 35). This over a 2-3 month period taking occasional practice tests. I have an extensive library of "advanced" test prep books usually written by authors who achieved 800 or 36 on the tests. These kinds of problem are essential in getting the last 50-150 points (SAT) or 2-3 points on the ACT. I do not just claim I can do this, I have proved it with real students that had real problems. That is why I consider myself a master test prep tutor, even if I am showing my pride. I have an ability to ferret out at what stage of solving test problems a student gets lost or confused. Then it is simple to determine what kind of practice exercises will overcome the roadblock the student has had in taking previous practice tests. I also check what type of learning the student best uses: visual (see it in writing or a chart/graph/picture), hear it or record college lectures and re-listen, or touch--rewrite your notes, etc. Why not teach the individual way each student best learns.
The first contact hour I always provide free so parents can see if I am genuine and real and students can see if they think I can help them. WyzAnt does have tutors that charge you less than I do, but they are not going to be able to give you the student progress that I can and . To back that up, when I started I was ranked on page 5 on the SAT test prep tutors signed on with WyzAnt. My results have been so phenomenal that over a 4 month period WyzAnt moved me to number one ranking or near it, higher than 700 or so other WyzAnt tutors for SAT and ACT within 40 miles of San Jose
I have done tutoring now for 8 years with private companies, schools and as an independent tutor. My passion about tutoring and my students is quite noticeable to my tutor parents. I am having more fun now than I have in 20 years. I have worked with many students aging K through adult. My specialty is test prep, but I love the importance of study skills. This
area is not taught anywhere locally in schools. It helps students organize their entire life and school approach so that they gain back time they no longer have to spend on studying for school.
I am a patient and caring as well as persistent tutor. My educational background is in physics and math (through Ph.D.). My approach with students is to first get them to enjoy the work. Then to zero in on the student's individual needs and learning styles. I intentionally spend time increasing each student's confidence in the subject and in test taking in general. I give help when a student is stuck. But I don't give all the steps of the entire exercise, rather letting the student do as much as they can to enhance their confidence and learning. I frequently work by questioning the student to see where their understanding limit is before explaining a concept as needed.
Study skills is one approach that most students and their parents ignore but can help students when they are having trouble in one or more subjects. I consider myself an expert in this area. The organization and accountability of study skills helps students to work smarter rather than harder to get better results. Study skills, by organizing all areas of their work, help the student get done with school work faster. This gives them extra time to do what they like. I get great joy out of seeing a student progress.
Having done tutoring for 7 years, I have discovered I am passionate about tutoring and about my students. I get extrordinary happiness out of seeing a student progress. For me, the greatest pleasure comes when I have explained a concept three different ways and finally the light goes on. The student says "I get it!" or "That's easy, why didn't you say that the first time." I cover all areas of SAT and ACT test preparation using an amazing talent for customizing my lessons to the students' needs. Students working from typical test prep books… Read more
Group rates negotiable.
Lewis has been a fantastic tutor for my son, despite his learning challenges. He is efficient, thoughtful and very thorough. He is able to filter through information in a way that his student can process it and master it. Lewis has an amazing disposition and connected beautifully with my son. He is respectful, caring and kind. I HIGHLY recommend Lewis to any student - he is a genius himself!
Lewis is helping my sons with their English language needs. He understands their needs and then plans for the same. For example, he knows exactly how many hours of tutoring is needed for a SAT English preparation or review. Then he executes on that plan. His holistic approach on the tutoring helps the students. I see my son doing better with his test prep needs with Lewis's help/training.
Mr. Lewis H. is a hard working person who is trying to achieve my son's goals. He gives great tutoring to help my kid to improve how to write good essays, and become efficient in readings where I can see some good end results on my son's school report. What made me impressed is that he gives very detailed reports to the parent on the WyzAnt Tutoring website, which makes me feel that my son is in very good hands.
Lewis tutored our son for reading and writing for the SAT and did a great job. Our son found the sessions very helpful in preparing him for the test. Lewis is now preparing our son for the ACT and he is keeping him motivated and on track.
Lewis is currently helping my 8th grader who has some processing delays. He is extremely patient and provides encouragement along the way, which is really important. He asks for feedback and input, but since I don't really have a whole lot of insight to offer other than the fact that my son dislikes school and that I am really disappointed with how little 8 years of special education assistance has accomplished thus far, Lewis has developed and implemented his own plan where he is assessing and providing custom content for my son, which I am grateful for.
He is very understanding and flexible when I have to adjust sessions at the last minute (due to family emergencies and such). He is genuinely concerned about my son and I believe him when he says he loves to tutor and would do it for free if it weren't for the fact that he has to eat!
Lewis is a great tutor he's been working really hard with me on reading skills and math. He is very nice, patient and willing to travel to help me. I am not good at math, but thanks to Lewis I've improved on my last math test. I'm also improving on my vocabulary as well. Thank you Lewis!
In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet approved in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.
I help prepare students for all sections of ACT. I teach not only the subjects, but I will train you how to choose the best techniques to upgrade your score. For ACT English,Reading and Writing parts I like to start with a practice test to be able to analyze the weak areas and then focus on them with basic review and additional practicing of solution techniques. Then I follow up with assigning additional test questions or entire practice tests. This allows practicing of the techniques and keeping focus on the areas most needing attention. Finally I love to give an ending practice test to measure the improvement that has been made in test taking.
Normally these tests will be limited by the allowed time. So it requires keeping focused and using the techniques you have been taught.
To be successful on ACT preparation, the student must be prepared for a significant commitment and effort. A tutor can help the improvement process and keeping focus on the end concern--improving the test score. I recommend a minimum tutor time of 6 hours or 4 sessions of 1 1/2 hours.
The English test is 45 minutes long and has 75 questions. It covers topics in grammar, punctuation, sentence structure, and rhetorical skills. There will be five essays with some words or phrases underlined. You are asked if the underlined portion is correct as written or if one of the three alternatives listed would be better.
I help prepare students for all sections of ACT. I will train you how to chose the best techniques and strategies to increase your score. ACT measures academic achievement. There's more to mastering this test than just improving math skills. The test-makers themselves admit that you can increase your score by preparing for the test. It does require extensive practice and hard work to become fluent with these techniques. Working with an experienced tutor for 4-6 hours can streamline your quest for a better score.
Techniques to get more correct answers include: identifying just what information is given, using that information to solve by backsolving, picking numbers, process of elimination, strategic guessing and straightforward math.
The questions are all multiple choice. A third of the test covers pre-algebra and elementary algebra. A third covers intermediate algebra and coordinate geometry (graphing). A quarter covers regular geometry. And four questions cover trigonometry.
Typical math topics include: algebra, number properties, ratios, percents and averages, coordinate geometry, plane geometry, patterns and figures, probability and logic.
I am an experienced tutor with the ACT test. I would be pleased to help you reach your goal for test scores and increase your confidence and comfort when test day comes.
The ACT Reading section lasts 35 minutes with 40 questions. There will be four reading passages of about 800 words each. There is always one prose fiction passage, one social science passage, one humanities passage, and one natural science passage. After reading each passage, you have 10 questions to answer. One technique is to read the questions first to have a better idea what to be looking for as you read the passage.
I have helped prepare students for all sections of ACT. I teach those skills and techniques which help you to score higher. It does require extensive practice and hard work to become fluent with these techniques. ACT English, Reading, and Writing parts normally will be limited by the time involved. So focus and using the best techniques will be critical in scoring as high as your confidence and abilities take you. A tutor can help you zero in on efficient use of your time. I recommend a minimum time with your tutor of 6 hours or 4 sessions of 1 1/2 hours.
I like to start by assigning a practice test. Then it is easy to analyze where the student presently is and analyze the weak areas. Then I focus in on the weak areas with basic review and practicing of additional questions or additional practice tests. Finally I love to give an ending test to see how much the student has improved and to have additional missed questions to work over.
The ACT Science Reasoning Test requires NO specific scientific knowledge. (Surprised?) You will be asked to understand and make sense of six sets of scientific information that will be presented in graphs, charts, tables, and research summaries. Also you will have to make sense of one disagreement between a couple of scientists. These are qualities or techniques that will be useful the rest of your life because as an informed reader you will have to analyze scientific articles written in newspaper or on the web. Taking this test normally will be limited by the time allowed. (I always wanted more time.) So it requires judgment skills of the approach and techniques to use.
I help prepare students for all sections of ACT. I will train you to chose the best techniques and increase your score. My background is in science (physics, Ph.D.) and math where I have all through my life used these skills. This test does require extensive practice, hard work, and commitment to become fluent with these techniques.
A tutor can help you focus in on improvement with explanations, strategies, and various techniques. I like to start by assigning a practice test so I can analyze weak areas. Then, by giving additional questions or practice tests, we can focus in the areas where you missed a question. Last I love to give an ending test to measure how much a student has improved. It also gives me additional missed questions to focus on.
Algebra 1 is the first big hurdle to a technical career. It's really the ABCs of mathematics. The introduction of variable-based math is essential. A tutor can help smooth out the bumps. But with a solid foundation in prealgebra, algebra should hopefully be like more of the same.
I have used algebra in school and throughout my career. I have tutored students to help them with a smoother ride in algebra 1.
Topics include: simplifying and evaluating expressions, order of operations, variables, translating from word phrases to algebraic expressions, exploring rational numbers, square roots, solving linear equations, angles of triangles, measures of central tendency (mean, median, mode), and other topics.
Algebra 2 is a state college and university requirement. So it's very important to get a good grade in this class.
It introduces trigonometry. Topics include equations and functions, factoring, graphing, conics (including quadratics), matrices, polynomials, and logarithms.
I have helped in tutoring a number of students in Algebra 2. And have used it as a way to prepare for trigonometry and calculus.
I have taught test preparation for the CBEST for two years. I am CBEST certified, having passed on the first try with no problems on any of the three sections. The CBEST was designed to test basic proficiency in math, reading, and writing.
I have become an effective coach and tutor. I will review with you the full set of basic skills required to pass the test on your first try. Testing strategies will be covered. For example, I will give you 3 novel approaches to different types of math word problems that don't require you to do the algebraic equations in the problem.
I have just finished working with a student on the math part of CBEST. She had taken the test twice and had passed the reading and writing portions, but failed the math part both times. She needed extensive review of the basics required for the test because it was some time since she had studied any math. In six sessions we finished reviewing all the individual areas covered in the test, finished an initial practice test and a "final" practice test to show improvement, and did multiple example problems in areas such as word problems where she was having difficulties. Results: 60% correct answers required to pass the test, she moved from 54% up to 70% and passed the test easily.
In my 6 years of tutoring I have helped numerous students in G1-6. I have helped a 2nd grader in math to progress 2 1/2 years in 30 sessions. (As measured by pre- and post-testing.) One of my specialties is study skills which often helps students get organized when they are having trouble in several subjects at one time. This usually helps raise confidence once the student gets in control. I have found that I am extremely passionate about tutoring and my students.
I am experienced working with students in many areas, including math, science, history, geography, English/grammar and reading. My approach is often the same independent of the subject. I explain the problem or concept carefully and then explain it a 2nd and 3rd way until the student says "I get it!" That is one of the best feeling I have as a tutor.
Reviewing the material covered in class and asking directed questions also helps students remember what they have covered. Reviewing and questioning before tests also helps.
I am familiar with many of the textbooks being used in elementary grades. I also have an extensive library of additional materials, especially in math, to augment the classroom text including workbooks for additional practice. If I don't have extra materials for your grade, I will get it from the bookstores.
Struggling in math? I have 6 years of experience helping students being successful at it. In math all too often students find themselves falling behind in grasping important concepts even while the teacher needs to move on to topics which build upon the earlier concepts. I work to fill in those gaps so that students' continued success is assured. I have found that I am very passionate about tutoring and the students. I always try to give the parents more than they expect.
I take pride in my ability to inspire and motivate young minds to get the best out of their school years. I employ a fun but firm approach and am caring yet very persistent in my contacts with my students. Elementary math is like a game; once you learn the basic rules you can have fun learning.
I operate either with work from school, helping with homework and reviewing what was covered in class (with more care taken to answer the student's questions than is possible in the classroom), or I have a small library of different grade-level books covering the math for that grade or workbooks to work on different examples of what was done in class. And if I don't have a grade-specific book, I can get one.
I had an eye-opening experience with a second grade girl who was struggling with math. In 30 sessions I was able to advance her 2 1/2 grades as measured by standardized testing. And I had her giggling at my outrageous approach as I drilled her in exercises.
I am a patient and caring as well as persistent tutor. I explain things carefully taking into account the grade level. I work hard to explain concepts covered in class until I am sure the student really understands and there are no holes in their math understanding.
As students move into "word problems", I make certain they learn some tricks and techniques for this crucial translation form words to math statements. In my experience every student has trouble with this topic.
I am an expert in study habits and am able to instill some of the principles into students even at a young age--principles and tactics that will serve them well even through high school and into college.
My educational background is in physics and math. I love helping my students understand and grow to love science. I have found that I have am strongly passionate about tutoring and my students.
Starting with homework assignments, I check how well they understand and can recite back to me what they have gone over in class. My driving goal is to make learning both informative and fun. A student having fun in their work is going to learn much faster than one plodding through the same work.
I have played the French horn since 3rd grade. I love that instrument and want others to get the same enjoyment that I have. My background includes going through Oberlin College, playing in most of the formal groups there. Then I went to Detroit and while there for 7 yrs played over 100 concerts with the Detroit Symphony and in their summer series at Meadowbrook, and some gigs at the Elmwood Casino in Canada. Later I went to New York City and experienced playing Broadway shows, Radio City Music Hall, and numerous orchestras.
I am now, in retirement, playing in my church band and enjoying the dynamics of that group. I love being able pass on my music experience and French horn knowledge to students just beginning this wonderful experience. Would you like me to infect you with my music passion?
Geometry is really fun to learn and I like it as a tutor. A good grounding in geometry is very useful in everyday life. It is a stepping stone to taking higher level math classes like calculus. It is also a high school graduation requirement in California schools so it is important to pass this class. I took geometry in high school and have been using it ever since. I have successfully tutored geometry for the last six years. I am very passionate about tutoring and my students.
If you are struggling to make it through a geometry class, then I have the tools and experience to help you. Geometry is second nature to me and I can show you how. My tutoring will include help with homework as well as preparation for tests.
Geometry is the study of objects and its measures. One of the keys to this class is memorizing all of geometry's vocabulary. Proofs are one of the main focuses of this class, aside from learning the actual properties of geometrical figures.
Extensive use of practice problems helps with understanding concepts and committing formulas to memory. With caring guidance, reworking of the school lessons, and finding the point of confusion, I can help the student to truly understand the concepts and solve problems with much more confidence.
My educational background is in math and physics. My most rewarding experience is when a student says "I get it!" after my third explanation of a concept.
I have spent about 3 years teaching phonics at the K-2 level. I didn't learn phonics until I was in my 40s! I remember struggling with reading in the 3rd grade.
In the past I have taught phonics to students from K through 3rd grade.
I feel I am well qualified to tutor Physics at any level to students wanting to clarify areas or to move ahead in their understanding in physics. My background is a B.A. in physics and a Ph.D. in solid-state physics (experimentalist). I worked in the semiconductor industry for 25 years and have now been tutoring for the last 7 years. I have tutored some students to increase their confidence in physics and have taken 2 students through the SAT Physics subject test.
I feel pretty comfortable that my knowledge of physics is excellent, but also that I have the experience and know how to tutor students in this area. (There is a difference, as I'm sure you know, between people who have solid knowledge of physics and those who can actually transfer that knowledge and confidence to their students. I put myself in that last category.
I have a library of 3 or 4 physics texts, including the longstanding college favorite by Resnick, Halliday, and Krane. I also have books for AP physics, so I am well covered and quite confident that I can help you. As an aside, I think we will have fun working on this material, because physics is such an interesting subject.
Prealgebra is the stepping stone to the world of math, the basis of algebra 1 and following courses. It is necessary for a technical career. I understand that it is uncomfortable for many students. I'd like to make it flow as easily for you as it does for me. If your child has some holes in their math background, let me help fix them now so that they can move comfortably through prealgebra and on into algebra. In my 6 years of tutoring, I have discovered a very strong passion for tutoring and for my students.
Some of the topics covered include evaluating arithmetic expressions, word problems, fractions, decimals, percents, inequalities,exponents, using variables in algebraic expressions and solving them, some geometry, and graphing lines.
I have a passion for building self confidence in this pivotal math course. Don't let a math class keep you from achieving your goals.
I did well enough when I took the PSAT to qualify for the National Merit Scholarship semi finals. I have worked successfully with a number of students preparing for the PSAT. I also have several books giving practice tests and reviewing the knowledge areas needed to do well on the test. Taking a practice pre-test and another one at the end of tutoring helps to see what areas need the most work and progress made during the tutoring. It helps to advance confidence and reduce the stress level when taking the actual exam.
I understand how frustrating math can be, and I aim to make the SAT math test questions less confusing. I have taught SAT prep to a number of students, teaching not only the subjects found in the SAT math test, but also the techniques to maximize your SAT score. I help students to recognize the categories of problems and to choose the best techniques from their "memory bank".
The SAT math questions are similar in type and form from test to test. So practice does make a difference. To be successful in preparating for the SAT math, the student must be prepared for a significant commitment and effort. That's why I recommend a minimum of 6 hours with a tutor to prepare. For the SAT math test, students normally will be time-limited so it requires judgment skills of what techniques to use rather than just plodding along doing extra time-consuming work. There are "tricks" to finding answers even when you don't know the solution. In fact, there are several techniques--widely taught--on how to do 2-variable algebra questions with 2 equations WITHOUT using any time-consuming algebra. Truly amazing. Are you interested?
I start with a practice test to be able to analyze weak areas and focus on them with basic review and practice in solving techniques on additional selected problems. A final practice test at the end of your tutoring will show the progress you have made and help increase your confidence going into the test.
I help prepare students for all sections of the SAT by teaching those skills and techniques which help them score higher. It does require extensive practice and effort to become fluent with these techniques. I currently tutor SAT test preparation to a number of students. The total number of questions you can finish on SAT tests will normally be severely limited by the time allowed. I recommend a minimum of 6 hours per test or 18 hours if you are doing all 3 tests. The amount of time really depends on how many of the tests you want to work on and how high a score your goal is.
I prefer to use the Princeton Review SAT book. But Princeton, Kaplan, and local private companies like Elite and Kings Academy need to reach the most students they can, so are configured to raise your score to 650 or 675. If you want to score higher, I have available, and have used, advanced books designed to bring you up the last 75-100 difficult points.
I begin by assigning a practice test for homework (or use a test you have taken) so I can analyze the weak and strong areas and then personalize how the tutoring work will be done. Subsequently I focus on the weak areas with basic reviews and strategies and then practice with additional examples or tests. At the end of our sessions I assign a second practice test. This will show both you and me the amount your student has improved and helps to raise their confidence.
The critical reading test is 70 minutes long in 3 sections. The type of questions are sentence completion (vocabulary in context and logic based) and passage-based reading comprehension. The passages range in length from about 100 to 850 words and cover subjects in the humanities, social studies, natural sciences, and literary fiction. The sentence completion questions are in order of difficulty. They have three categories: definition/similar meaning; contrast; cause and effect/makes sense in context. The passage-based reading questions are not in order of difficulty.
If I discover after a session or two that the student doesn't know some or many words that the SAT tests uses year after year, I will start using a set of 500 flash cards that contains words that show up most frequently on the SAT Critical Reading test. Whenever, in learning techniques for the test we come to a test word the student doesn't know, it has been my experience that it almost always is found in this particular set of flashcards. Be advised that the SAT test is being revised in 2016. At that time the use of hard-to-learn words will be eliminated for more commonly used words.
My background is in physics and math. But I am currently teaching useful SAT techniques to 3 students. And I have had success with students learning Critical Reading techniques. If you need a recommendation of my expertise and experience, I can connect you to the parents of previous students. I have been tutoring for 7 years. I have discovered that I have a strong passion for tutoring and for my students. And I am currently having more fun than I have had in 20 years.
Here is an overview of the Writing test. The SAT Writing test takes 60 minutes, has one essay (25 minutes) and two sections of multiple choice questions (25 min. and 10 min.) The multiple choice sections have three types of questions: identifying sentence errors (18); improving sentences (25); and improving paragraphs (6). The multiple choice questions are mainly concerned with grammar rules and rhetorical skills.
Writing is a skill needed for success in both college and throughout your lifetime in the workplace. You will write a first draft of an short, original, persuasive essay under timed conditions. It will assess your ability to develop and express ideas effectively. It evaluates your ability to do the kind of writing required in college. This should be writing that develops a point of view, presents ideas logically and clearly, and uses precise language. The essay counts 30% toward the final score. The scoring takes into account that you are writing a first draft, not a final draft, and that you are writing under extreme time constraints.
Please be advised that the writing section of the SAT is being eliminated in 2016 and the top SAT score will revert back to 1600, the way it was before the writing test was included in 2006.
The multiple choice sections require you to: recognize sentence errors, choose the best version of a piece of writing, and improve paragraphs within a writing context. They will include 49 questions on grammar, usage, paragraph organization, and multi-paragraph coherence. It assesses your ability to improve a piece of writing through revision and editing. These sections count 70% toward the final score.
I help prepare students for all sections of the SAT. It requires extensive practice and hard work to become fluent with these techniques. A tutor can help you focus in on improvement with explanations, strategies and various techniques. I recommend a minimum of 6 one-hour sessions with a tutor when preparing for the SAT Writing test. If your goal is higher than the 650-675 score that Kaplan, Princeton Review, and local companies like Elite and Kings Academy are designed for, I have several advanced books that are written to take you the last 75-100 difficult points in your score.
I start by assigning for homework a practice test including writing an essay under test conditions of time limits. (Or if you have already taken a practice test, I use that.) From this it is usually easy to see where to concentrate. Additional practice problems and essays help increase confidence and ability to react more quickly. An ending practice test helps document the progress that has been made by the student and give them added confidence.
I have had and developed good study skills as a tutor, but especially as a grad student getting my Ph.D. Study skills are methods to increase a student's ability to study smarter and retain information over a longer period of time. I would put it that I am experienced in correcting a students disorganization.
Some of the areas are time management, organization, note taking skills, test taking strategies, establishing study habits,keeping motivation high, and removing any negative mindsets, attitudes, and beliefs. It boils down to organize and prioritize.
This requires help in finding and strengthening the most effective note taking, memorization techniques, sorting papers in binders with tab dividers, keeping track of assignments with personal calendar, high lighting or color coding of readings/notes, studying before "the night before", creating and using mnemonics and flashcards, and other approaches.
I am beholden to the book SOAR study skills by Susan Kruger. (See her web site at StudySkills.com) I also use some of the approaches from the AVID program (Advancement Via Individual Determination). The difficult part is to find which strategies work best for any particular student. And of course it requires constant monitoring, support, and correction to check progress for accountability.
I have been tutoring for 6 years. I currently have one student working on better organization to facilitate having more free time of his own. His father is highly complimentary on the progress seen at school.
I have tutored half-time for 6 years. I have discovered that I am strongly passionate about tutoring and my students. The greatest joy I get is when I hear "I get it!" after I have just explained an area in the 3rd different way.
Trigonometry can be a fun class. It links with precalculus. It is crucial that all the techniques we explore here connect directly with the techniques we see in precalculus and then calculus. Trig has many applications in physics and engineering.
Approached properly it is relatively easy to learn. I've been a tutor for six years and have had success in raising students' grades and their focus and interest in the subject. I tell my students that this is maybe the easiest and most fun math class they will take. I believe that everyone can pass or get a good grade in this class and move on with that confidence into precalculus and calculus.
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