Algebra I

Course No. 1001
Professor James A. Sellers, Ph.D.
The Pennsylvania State University
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4.9 out of 5
111 Reviews
95% of reviewers would recommend this product
Course No. 1001
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What Will You Learn?

  • numbers Learn tricks for translating the language of problems into the language of math.
  • numbers Investigate real-world applications of linear equations.
  • numbers Discover how to analyze patterns and work out a formula that predicts any term in a sequence.

Course Overview

Algebra I is one of the most critical courses that students take in high school. Not only does it introduce them to a powerful reasoning tool with applications in many different careers, but algebra is the gateway to higher education. Students who do well in algebra are better prepared for college entrance exams and for college in general, since algebra teaches them how to solve problems and think abstractly—skills that pay off no matter what major they pursue.

Because algebra involves a new way of thinking, many students find it especially challenging. Many parents also find it to be the area where they have the most trouble helping their high-school-age children. With 36 half-hour lessons, Algebra I is an entirely new course developed to meet both these concerns, teaching students and parents the concepts and procedures of first-year algebra in an easily accessible way. Indeed, anyone wanting to learn algebra from the beginning or needing a thorough review will find this course an ideal tutor.

Conquer the Challenges of Learning Algebra

Taught by Professor James A. Sellers, an award-winning educator at The Pennsylvania State University, Algebra I incorporates the following valuable features:

  • Drawing on extensive research, The Great Courses and Dr. Sellers have identified the biggest challenges for high school students in mastering Algebra I, which are specifically addressed in this course.
  • This course reflects the latest standards and emphases in high school and college algebra taught in the United States.
  • Algebra I includes a mini-textbook with detailed summaries of each lesson, a multitude of additional problems to supplement those presented in the on-screen lessons, guided instructions for solving the problems, and important formulas and definitions of terms.
  • Professor Sellers interacts with viewers in a one-on-one manner, carefully explaining every step in the solution to a problem and giving frequent tips, problem-solving strategies, and insights into areas where students have the most trouble.

As Director of Undergraduate Mathematics at Penn State, Professor Sellers appreciates the key role that algebra plays in preparing students for higher education. He understands what entering college students need to have mastered in terms of math preparation to launch themselves successfully on their undergraduate careers, whether they intend to take more math in college or not. Professor Sellers is alert to the math deficiencies of the typical entering high school graduate, and he has developed an effective strategy for putting students confidently on the road to college-level mathematics.

Whatever your age, it is well worth the trouble to master this subject. Algebra is indispensible for those embarking on careers in science, engineering, information technology, and higher mathematics, but it is also a fundamental reasoning tool that shows up in economics, architecture, publishing, graphic arts, public policy, manufacturing, insurance, and many other fields, as well as in a host of at-home activities such as planning a budget, altering a recipe, calculating car mileage, painting a room, planting a garden, building a patio, or comparison shopping.

And for all of its reputation as a grueling rite of passage, algebra is actually an enjoyable and fascinating subject—when taught well.

Algebra without Fear

Professor Sellers takes the fear out of learning algebra by approaching it in a friendly and reassuring spirit. Most students won't have a teacher as unhurried and as attentive to detail as Dr. Sellers, who explains everything clearly and, whenever possible, in more than one way so that the most important concepts sink in.

He starts with a review of fractions, decimals, percents, positive and negative numbers, and numbers raised to various powers, showing how to perform different operations on these values. Then he introduces variables as the building blocks of algebraic expressions, before moving on to the main ideas, terms, techniques, pitfalls, formulas, and strategies for success in tackling Algebra I. Throughout, he presents a carefully crafted series of gradually more challenging problems, building the student's confidence and mastery.

After taking this course, students will be familiar with the terminology and symbolic nature of first-year algebra and will understand how to represent various types of functions (linear, quadratic, rational, and radical) using algebraic rules, tables of data, and graphs. In the process, they will also become acquainted with the types of problems that can be solved using such functions, with a particular eye toward solving various types of equations and inequalities.

Throughout the course, Professor Sellers emphasizes the following skills:

  • Using multiple techniques to solve problems
  • Understanding when a given technique can be used
  • Knowing how to translate word problems into mathematical expressions
  • Recognizing numerical patterns
Tips for Success

Algebra is a rich and complex subject, in which seemingly insurmountable obstacles can be overcome, often with ease, if one knows how to approach them. Professor Sellers is an experienced guide in this terrain and a treasure trove of practical advice—from the simple (make sure that you master the basics of addition, subtraction, multiplication, and division) to the more demanding (memorize the algebraic formulas that you use most often). Here are some other examples of his tips for success:

  • Learn the order of operations: These are the rules you follow when performing mathematical operations. You can remember the order with this sentence: Please Excuse My Dear Aunt Sally. The first letter of each word stands for an operation. First, do all work in parentheses; then the exponents; then multiplication and division; finally, do the addition and subtraction.
  • Know your variables: It's easy to make a mistake when writing an algebraic expression if you don't understand what each variable represents. Choose letters that you can remember; for example, d for distance and t for time. If you have sloppy handwriting, avoid letters that look like numbers (b, l, o, s, and z).
  • Use graph paper: You'll be surprised at how the grid of lines encourages you to organize your thinking. The columns and rows help you keep your work neat and easy to follow.
  • Pay attention to signs: Be very careful of positive and negative signs. A misplaced plus or minus sign will give you the wrong answer.
  • Don't mix units: If you are using seconds and are given a time in minutes, make sure to convert the units so they are all the same.
  • Simplify: Straighten out the clutter in an equation by putting like terms together. Constants, such as 7, -2, 28, group together, as do terms with the same variable, such as 3x, x, -10x. Then combine the like terms. Often you'll find that the equation practically solves itself.
  • Balance the equation: When you perform an operation on one side of an equation—such as adding or subtracting a number, or multiplying or dividing the entire side by a quantity—do the exact same thing to the other side. This keeps things in balance.
  • Above all, check your work! When you have finished a problem, ask yourself, "Does this answer make sense?" Plug your solution into the original equation to see if it does. Checking your work is the number one insurance policy for accurate work—the step that separates good students from superstar students.

By developing habits such as these, you will discover that solving algebra problems becomes a pleasure and not a chore—just as in a sport in which you have mastered the rudiments and are ready to face a competitor. Algebra I gives you the inspirational instruction, repetition, and practice to excel at what for many students is the most dreaded course in high school. Open yourself to the world of opportunity that algebra offers by making the best possible start on this all-important subject.

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36 lectures
 |  Average 30 minutes each
  • 1
    An Introduction to the Course
    Professor Sellers introduces the general topics and themes for the course, describing his approach and recommending a strategy for making the best use of the lessons and supplementary workbook. Warm up with some simple problems that demonstrate signed numbers and operations. x
  • 2
    Order of Operations
    The order in which you do simple operations of arithmetic can make a big difference. Learn how to solve problems that combine adding, subtracting, multiplying, and dividing, as well as raising numbers to various powers. These same concepts also apply when you need to simplify algebraic expressions, making it critical to master them now. x
  • 3
    Percents, Decimals, and Fractions
    Continue your study of math fundamentals by exploring various procedures for converting between percents, decimals, and fractions. Professor Sellers notes that it helps to see these procedures as ways of presenting the same information in different forms. x
  • 4
    Variables and Algebraic Expressions
    Advance to the next level of problem solving by using variables as the building blocks to create algebraic expressions, which are combinations of mathematical symbols that might include numbers, variables, and operation symbols. Also learn some tricks for translating the language of problems (phrases in English) into the language of math (algebraic expressions). x
  • 5
    Operations and Expressions
    Discover that by following basic rules on how to treat coefficients and exponents, you can reduce very complicated algebraic expressions to much simpler ones. You start by using the commutative property of multiplication to rearrange the terms of an expression, making combining them relatively easy. x
  • 6
    Principles of Graphing in 2 Dimensions
    Using graph paper and pencil, begin your exploration of the coordinate plane, also known as the Cartesian plane. Learn how to plot points in the four quadrants of the plane, how to choose a scale for labeling the x and y axes, and how to graph a linear equation. x
  • 7
    Solving Linear Equations, Part 1
    In this lesson, work through simple one- and two-step linear equations, learning how to isolate the variable by different operations. Professor Sellers also presents a word problem involving a two-step equation and gives tips for how to solve it. x
  • 8
    Solving Linear Equations, Part 2
    Investigating more complicated examples of linear equations, learn that linear equations fall into three categories. First, the equation might have exactly one solution. Second, it might have no solutions at all. Third, it might be an identity, which means every number is a solution. x
  • 9
    Slope of a Line
    Explore the concept of slope, which for a given straight line is its rate of change, defined as the rise over run. Learn the formula for calculating slope with coordinates only, and what it means to have a positive, negative, and undefined slope. x
  • 10
    Graphing Linear Equations, Part 1
    Use what you've learned about slope to graph linear equations in the slope-intercept form, y = mx + b, where m is the slope, and b is the y intercept. Experiment with examples in which you calculate the equation from a graph and from a table of pairs of points. x
  • 11
    Graphing Linear Equations, Part 2
    A more versatile approach to writing the equation of a line is the point-slope form, in which only two points are required, and neither needs to intercept the y axis. Work through several examples and become comfortable determining the equation using the line and the line using the equation x
  • 12
    Parallel and Perpendicular Lines
    Apply what you've discovered about equations of lines to two very special types of lines: parallel and perpendicular. Learn how to tell if lines are parallel or perpendicular from their equations alone, without having to see the lines themselves. Also try your hand at word problems that feature both types of lines. x
  • 13
    Solving Word Problems with Linear Equations
    Linear equations reflect the behavior of real-life phenomena. Practice evaluating tables of numbers to determine if they can be represented as linear equations. Conclude with an example about the yearly growth of a tree. Does it increase in size at a linear rate? x
  • 14
    Linear Equations for Real-World Data
    Investigating more real-world applications of linear equations, derive the formula for converting degrees Celsius to Fahrenheit; determine the boiling point of water in Denver, Colorado; and calculate the speed of a rising balloon and the time for an elevator to descend to the ground floor. x
  • 15
    Systems of Linear Equations, Part 1
    When two lines intersect, they form a system of linear equations. Discover two methods for finding a solution to such a system: by graphing and by substitution. Then try out a real-world example, involving a farmer who wants to plant different crops in different proportions. x
  • 16
    Systems of Linear Equations, Part 2
    Expand your tools for solving systems of linear equations by exploring the method of solving by elimination. This technique allows you to eliminate one variable by performing addition, subtraction, or multiplication on both sides of an equation, allowing a straightforward solution for the remaining variable. x
  • 17
    Linear Inequalities
    Shift gears to consider linear inequalities, which are mathematical expressions featuring a less than sign or a greater than sign instead of an equal sign. Discover that these kinds of problems have some very interesting twists, and they come up frequently in business applications. x
  • 18
    An Introduction to Quadratic Polynomials
    Transition to a more complex type of algebraic expression, which incorporates squared terms and is therefore known as quadratic. Learn how to use the FOIL method (first, outer, inner, last) to multiply linear terms to get a quadratic expression. x
  • 19
    Factoring Trinomials
    Begin to find solutions for quadratic equations, starting with the FOIL technique in reverse to find the binomial factors of a quadratic trinomial (a binomial expression consists of two terms, a trinomial of three). Professor Sellers explains the tricks of factoring such expressions, which is a process almost like solving a mystery. x
  • 20
    Quadratic Equations—Factoring
    In some circumstances, quadratic expressions are given in a special form that allows them to be factored quickly. Focus on two such forms: perfect square trinomials and differences of two squares. Learning to recognize these cases makes factoring easy. x
  • 21
    Quadratic Equations—The Quadratic Formula
    For those cases that defy simple factoring, the quadratic formula provides a powerful technique for solving quadratic equations. Discover that this formidable-looking expression is not as difficult as it appears and is well worth committing to memory. Also learn how to determine if a quadratic equation has no solutions. x
  • 22
    Quadratic Equations—Completing the Square
    After learning the definition of a function, investigate an additional approach to solving quadratic equations: completing the square. This technique is very useful when rewriting the equation of a quadratic function in such a way that the graph of the function is easily sketched. x
  • 23
    Representations of Quadratic Functions
    Drawing on your experience solving quadratic functions, analyze the parabolic shapes produced by such functions when represented on a graph. Use your algebraic skills to determine the parabola's vertex, its x and y intercepts, and whether it opens in an upward "cup" or downward in a "cap." x
  • 24
    Quadratic Equations in the Real World
    Quadratic functions often arise in real-world settings. Explore a number of problems, including calculating the maximum height of a rocket and determining how long an object dropped from a tree takes to reach the ground. Learn that in finding a solution, graphing can often help. x
  • 25
    The Pythagorean Theorem
    Because it involves terms raised to the second power, the famous Pythagorean theorem, a2 + b2 = c2, is actually a quadratic equation. Discover how techniques you have previously learned for analyzing quadratic functions can be used for solving problems involving right triangles. x
  • 26
    Polynomials of Higher Degree
    Most of the expressions you've studied in the course so far have been polynomials. Learn what characterizes a polynomial and how to recognize polynomials in both algebraic functions and in graphical form. Professor Sellers defines several terms, including the degree of an equation, the leading coefficient, and the domain. x
  • 27
    Operations and Polynomials
    Much of what you've learned about linear and quadratic expressions applies to adding, subtracting, multiplying, and dividing polynomials. Discover how the FOIL operation can be extended to multiplying large polynomials, and a version of long division works for dividing one polynomial by another. x
  • 28
    Rational Expressions, Part 1
    When one polynomial is divided by another, the result is called a rational function because it is the ratio of two polynomials. These functions play an important role in algebra. Learn how to add and subtract rational functions by first finding their common divisor. x
  • 29
    Rational Expressions, Part 2
    Continuing your exploration of rational expressions, try your hand at multiplying and dividing them. The key to solving these complicated-looking equations is to proceed one step at a time. Close the lesson with a problem that brings together all you've learned about rational functions. x
  • 30
    Graphing Rational Functions, Part 1
    Examine the distinctive graphs formed by rational functions, which may form vertical or horizontal curves that aren't even connected on a graph. Learn to identify the intercepts and the vertical and horizontal asymptotes of these fascinating curves. x
  • 31
    Graphing Rational Functions, Part 2
    Sketch the graphs of several rational functions by first calculating the vertical and horizontal asymptotes, the x and y intercepts, and then plotting several points in the function. In the final exercise, you must simplify the expression in order to extract the needed information. x
  • 32
    Radical Expressions
    Anytime you see a root symbol—for example, the symbol for a square root—then you're dealing with what mathematicians call a radical. Learn how to simplify radical expressions and perform operations on them, such as multiplication, division, addition, and subtraction, as well as combinations of these operations. x
  • 33
    Solving Radical Equations
    Discover how to solve equations that contain radical expressions. A key step is isolating the radical term and then squaring both sides. As always, it's important to check the solution by plugging it into the equation to see if it makes sense. This is especially true with radical equations, which can sometimes yield extraneous, or invalid, solutions. x
  • 34
    Graphing Radical Functions
    In previous lessons, you moved from linear, quadratic, and rational functions to the graphs that display them. Now do the same with radical functions. For these, it's important to pay attention to the domain of the functions to ensure that negative values are not introduced beneath the root symbol. x
  • 35
    Sequences and Pattern Recognition, Part 1
    Pattern recognition is an important and fascinating mathematical skill. Investigate two types of number patterns: geometric sequences and arithmetic sequences. Learn how to analyze such patterns and work out a formula that predicts any term in the sequence x
  • 36
    Sequences and Pattern Recognition, Part 2
    Conclude the course by examining more types of number sequences, discovering how rich and enjoyable the mathematics of pattern recognition can be. As in previous lessons, employ your reasoning skills and growing command of algebra to find order—and beauty—where once all was a confusion of numbers. x

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  • Download 36 video lectures to your computer or mobile app
  • Downloadable PDF of the course guidebook
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  • 36 lectures on 6 DVDs
  • 264-page course workbook
  • Downloadable PDF of the course guidebook
  • FREE video streaming of the course from our website and mobile apps

What Does The Course Guidebook Include?

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Course Guidebook Details:
  • 264-page workbook
  • Lecture outlines
  • Practice problems & solutions
  • Formula list

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Your professor

James A. Sellers

About Your Professor

James A. Sellers, Ph.D.
The Pennsylvania State University
Dr. James A. Sellers is Professor of Mathematics and Director of Undergraduate Mathematics at The Pennsylvania State University. He earned his B.S. in Mathematics from The University of Texas at San Antonio and his Ph.D. in Mathematics from Penn State. In the past few years, Professor Sellers has received the Teresa Cohen Mathematics Service Award from the Penn State Department of Mathematics and the Mathematical Association...
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Algebra I is rated 4.8 out of 5 by 108.
Rated 4 out of 5 by from Good lecture but, seems to be a mistake? Watching this through Amazon as a refresher before returning to college. Everything up through lecture 9 (slope of a line) has been great. Slope of a line started out great as well, however there seems to be an error. Slope= change in y/change in x Or: slope=(y2-y1)/(x2-x1), simple and reflected what I learned in Middle School. From here on "S" will represent "slope) The problem is that with one of the examples, he gave the following points: Point 1: (-2, 8) Point 2: (6, 7) Going off that, Point 1 should be (x1,y1) and point 2 should be (x2, y2) So given our equation, it should be S = (7 - 8)/(6 - (-2)) But the way he works it is: S = (8 - 7)/((-2) - 6), or: S = (y1 - y2)/(x1 - x2) I've watched it over again carefully trying to figure out if there's something I missed, and I haven't found anything, and Google has not been forthcoming in corroborating the way he worked that example. As I also do have Asperger's autism, it's driving me nuts trying to resolve the discrepancy. I hope the rest doesn't have issues such as this, because apart from this his lectures have been exceptional refreshers, and it's this little issue that is the only reason I have knocked 1 star off of it.
Date published: 2020-01-08
Rated 5 out of 5 by from Bought the Algebra 1 for my grandsons and granddaughter, all 3 have increased their scores from a 2.5 to a 4. Even their instructors are amazed. Just purchased Algebra || and Geometry. So they will have a head start.
Date published: 2019-10-25
Rated 5 out of 5 by from Learning Things I'd Forgotten + Filling in Gaps This overview of Algebra I did a great job helping me relearn things that I've forgotten over the decades since my first exposure to algebra as an eighth-grader, and Prof. Sellers' clear and thorough approach to the subject made me wish I'd had access to this course back then. Of special interest was the late-in-course section on number sequences and pattern recognition, a topic that I don't recall ever being covered in junior high or high school math courses I took -- a topic that really hurt me on college entrance exams and my own cataclysmic experience with the practice LSAT in college. Learning this material could have changed the course of my life, no hyperbole. This class and his earlier course on fundamentals of mathematics are helping me overcome a math phobia that set in after high school. Thank you so much for finding such a patient, supportive, and illuminating teacher for these courses.
Date published: 2019-04-05
Rated 5 out of 5 by from Terrific Instruction What a gift! Instruction right at your fingertips, available whenever you want to use it. The instructor is very, very good and, because this is a streaming product, I can stop the video whenever I want to catch up with my notes or review a concept a second time. It’s like going back to school, only better.
Date published: 2019-02-26
Rated 5 out of 5 by from Excellent course I am using this course to prepare myself to learn calculus. He is an outstanding teacher. Teaching math is not easy because it is dry but he makes it enjoyable. The content is most appropriate for algebra 1. The textbook with exercises and solutions is also very helpful. I am duly impressed. Great course. I would buy it again. I will definitely buy algebra II. Thank you Professor Sellers.
Date published: 2019-01-29
Rated 3 out of 5 by from The Joy of Math I have enjoyed Mr. Benjamin's presentation style. The application is over my head, but as I keep reviewing I get a little more. Need? I like math a lot and I understood it years ago in school. I don't understand all this vocabulary stuffs necessity so I keep learning.
Date published: 2018-08-07
Rated 5 out of 5 by from I never did great with math in school and am looking to refresh my understanding and take college level classes. This is the best instructor and presentation of algebra I have ever seen. The lectures are clear, progress and build methodically and the professor speaks clearly and makes things very easy to understand.
Date published: 2018-08-06
Rated 5 out of 5 by from Excellent Algebra I Course I listened to all 36 lectures of Algebra I and using the Course Guidebook did all the problems for each of the 36 lectures, in sequence. Prior to that I had taken Mastering the Fundamentals of Mathematics, also offered by the Great Courses by the same teacher, again watching each lecture and doing all the problems for each lecture. My conclusion is that Algebra I is a superb course taught by a very talented and patient teacher, Professor Sellers of Pennsylvania State University. Dr. Sellers frequently emphasizes common errors that students make, for avoidance, and so very patiently goes through each and every step to find solutions to the algebraic problems discussed. There are a few errors in the course book. For example, in lesson 36 for the second of the three equations solution 4b is used consistently instead of the correct 3b, and occasionally instead of a negative sign in front of a coefficient, a negative sign is put instead to the right of a superscript exponent, apparently a printing error. This is not a course for the gifted student. The gifted student will be bored by the laborious explanations of each step, even down to the grade school arithmetic used, in each of the numerous examples in the video lectures. For example even at the end of the course in lesson 36 Dr. Sellers is telling us that "11 minus 6 is 5", never omitting even the smallest arithmetic details for each problem worked on in the lectures. A gifted student could get a good text and self study or take something like the online free MIT OpenWare introductory algebra course, and follow the chicken scratches of impatient instructors who don’t want to teach, can’t teach, and would rather be doing their research. How populated universities are by deficient and haphazard teachers hired only for their research ability. Note also that most free openware math courses (including those offered online free by eg MIT or Yale) do not include assignment answers, as the professors hold them back so that they can use them in future classes. On the other hand, a slow or impoverished student might want to try one of the many free video math offerings by companies such as Coursera or EdX, where it seems anyone can put together a few lectures, pretend they can teach and get paid to put that course online with the sponsoring company, the sponsoring company seeming to be just an aggregator of wildly divergent quality and length courses, like for example (the also free) google news is for news. For most of us, that is those who are neither gifted nor particularly slow (and are willing to pay for quality and consistency) you will find that Algebra I from The Great Courses is a well paced course covering a semester’s worth of high school level introductory algebra concepts, taught by a superb instructor, with good graphics used throughout, and with a helpful, though condensed, course book (which includes answers to all the problems set forth) provided.
Date published: 2018-07-02
Rated 5 out of 5 by from AWESOME! These courses are so fun and well done. Interesting, well presented by all the different courses I’ve tried. These courses very much support anyone wanting to pursue what they want to do to fulfill their own happiness in life. Bravo!
Date published: 2018-04-27
Rated 5 out of 5 by from Great Teacher! I have a M.Sc. in Ed from I.U. I have taught at levels from 6th grade to college. So I believe I am qualified to say this instructor is excellent. I took his course to fill in a gap in my educational background. His presentation is exactly what I needed. i recommend his other courses, as well.
Date published: 2018-04-25
Rated 5 out of 5 by from I used this course for a review to sharpen up my mathematical skills. I was not let down. I realized quickly i had not forgotten much, but what i had misplaced over the years was revealed to me in a scholarly and perspicacious manner--The work book is the key--do the lectures but be determined with the work book an it makes the lectures easier to understand. I actually enjoyed the class, the easy lecture style, and the ability to see results so quickly (not in a hurry, but quicker than i thought).
Date published: 2018-02-09
Rated 5 out of 5 by from Great material, WONDERFUL instructor My New Year's resolution for 2018 was to learn math. REALLY learn it - not just scrape through by memorizing formulas like I did in high school (50 years ago!!). I started by purchasing the Calculus set, took one solid look at the topics and the workbook, and realized I had to be WAY more basic. So I bought Algebra I and II. What a terrific course! What a brilliant instructor! Whole orders of magnitude better than my high school teacher. Everything clearly and simply explained with lots and lots of examples. By lesson 29 (where I am now), I am far beyond anything I learned in high school. Plus I get it! Partly I get it because, at age 64, it is much easier to see why the subject is important and relevant. Partly because it is so much easier to "visualize" the numbers. Mostly because the teacher is truly outstanding. Who could have predicted that my "math lesson" and subsequent homework would be the treat I give myself every day? This is true even when I get stuck on a concept and have to go back over the lecture and redo the homework two or three times. If you are older, like me, you will occasionally get a chuckle over the level of language simplification ("that's a BIG word!!"), but I just remind myself he is talking to middle and high school students. My only complaint - a small one - is that I wish the workbook gave more than 10 problems for homework. One of the best reviewers here points out that "math is not a spectator sport." I'll say! The more I practice the clearer it becomes. I hope I have filled that gap by ordering an "Algebra for Dummies" workbook with problems to do. (If any reader wants to suggest a good resource, I would be thrilled!)
Date published: 2018-02-07
Rated 1 out of 5 by from starts with a mistake The second example of the second lecture, on Order of Operations, is mistaken. He says that order of operations matters in subtraction. But the example he gives, 10-5-3, comes out the same no matter what order you do it. He changes the -3 to a +3 by putting -5-3 into parenthesis as -(5-3). But -5-3 is -(5+3), not -(5-3). He doesn't point out that error, he just says "this is a wrong way to do it". It is not a wrong way to do it, it is an error in calculation. It does not matter in what order you do subtractions and/or additions.
Date published: 2018-01-24
Rated 4 out of 5 by from Alebra 1 Very good presentation of material, as expected (since I have viewed another course with this prof). A star is subtracted for quality of the pdf downloadable guide/workbook : while the short summary of each lecture is good/useful, the pdf quality itself is sub-par compared to what is currently very commonplace for downloadable pdf documents, e.g. table of contents with clickable links to pages of interest. Index at end would be nice too, but probably not necessary with this subject material..
Date published: 2018-01-06
Rated 5 out of 5 by from I bought this to refresh my knowledge and help my grandson, with his math. So far the course is easy to follow and I am enjoying it. The instructor is very clear and makes it easy to understand.
Date published: 2017-12-16
Rated 5 out of 5 by from Algebra I Received this less than 2 weeks ago. So far so good. Really needed the refresher course. Will probably go on to Algebra II when finished.
Date published: 2017-11-22
Rated 5 out of 5 by from Excellent Course I bought this course as a precursor to learning Calculus after many years. The lectures are well structured & the lecturer is incredibly good.
Date published: 2017-09-28
Rated 5 out of 5 by from Great Review After 60 Years 58 years after I took Integral Calculus, I have forgotten my algebra! I am having a wonderful time getting back to the basics with algebra. The teacher is precise. Just what I needed. Hope he does another class to follow this one. Being 79 years old, I am increasing my brain plasticity with The Great Courses.
Date published: 2017-09-10
Rated 5 out of 5 by from Carefully planned and INTERESTING! I bought this course and one other at the same time, and have been spending more time with the other, but finally started Algebra. It's so long since I did any math I was a little intimidated. But that was completely un-called for. The material is not only presented at a leisurely pace, but having the book and the DVD make it very easy to review anything that still puzzles me. I can even picture myself doing more math courses in the future.
Date published: 2017-08-22
Rated 5 out of 5 by from Great refresher course. The lectures are concise and to the point. All the fundamental are clearly covered.
Date published: 2017-08-09
Rated 5 out of 5 by from Excellent course for new students! I was very please with the purchase because it helped me improve my math skills. The instructor made it easy to grasp the content of the subject.
Date published: 2017-07-19
Rated 5 out of 5 by from Easy to understand presentations and study guide James Sellers is a very good math teacher. He seems to understand that not everyone is a math wiz and explains the subject in an easy to grasp manner. I'm taking this course to brush up on my skills before advancing to other math courses at our Community College.
Date published: 2017-06-12
Rated 5 out of 5 by from Crystal-clear explanations I bought Professor Sellers' Algebra I and II courses as a way to review this subject. I was very pleasantly surprised with the quality of his presentations. His explanations are very clear. He provides lots of examples, and presents things slowly and methodically. It's definitely money well spent.
Date published: 2017-05-30
Rated 5 out of 5 by from James sellers was phenominal Wow! James Sellers did it again! I bought the basic math video stream a while back, and knew I had to buy the algebra course. This course has helped me tremendously. Thanks to this course I didn't need to take non-credit college courses. James explains everything perfect with a great attitude. I highly recommend this to anyone looking to improve in math.
Date published: 2017-05-21
Rated 4 out of 5 by from Cleaned out the cobwebs Not the Algebra I remember taking in high school in '62.'
Date published: 2017-03-28
Rated 5 out of 5 by from Great content coverage & teaching approach... Bought this course to review not only content coverage but more importantly to review the pedagogical approach. Excellent resource for any teacher.
Date published: 2017-02-05
Rated 5 out of 5 by from Finally... I Understand Algebra 1! Thank you, Prof. Sellers! I had to pass a college math placement exam for a master's degree in language arts education but hadn't taken math for over 40 years. I am so glad I found this course. In high school, I only half-understood what was covered in math class, and was too embarrassed to ask questions in class. This course has filled in the gaps and clarified so much that was fuzzy and foggy the first time around. Prof. Sellers is so clear and builds on each preceding concept so thoroughly. He makes no assumptions about your understandings and explains everything, if only briefly. The first few lessons were too simple for me but it was helpful to learn the terms again and re-establish my study skills. Prof. Sellers re-defines terms that have been introduced as you go along, thus reinforcing all that has come before. He includes practical real-life applications in each lesson so you understand the point of "learning all this", plus get valuable practice in how to set up word problems. Finally, his personality is so positive that "being with him" is a pleasure. Prof. Sellers seems so patient, encouraging, and friendly. I jokingly refer to him as "my friend" when my family asks me what I am doing ("my friend is explaining the slope intercept formula"), and I realized I no longer brace myself or sit in a hunched posture when doing math, dreading that moment when I will feel hopelessly confused and stupid. Instead, I listen as receptively as I can and if I don't understand something, I just go back and make sure I follow all of Prof. Sellers' steps. Then, bingo... got it! So glad to achieve this level of math literacy and it is all thanks to Prof. Sellers.
Date published: 2017-01-11
Rated 4 out of 5 by from Algebra 1 Review Each presentation is done with mastery. It was a fast way to review this subject in preparation for further work. I enjoyed finding several errors in the workbook and at least one on the slides. It helped me to be sharper. I can see however how errors could be confusing to a high school student. The Teaching company should redo the course book and eliminate the errors and review the slides with the lecture and correct any errors. The slide error had to do with the sign being backwards on the greater than or equal to linear equations.
Date published: 2016-12-26
Rated 5 out of 5 by from My daughter doesn't need my help anymore! My daughter is thirteen and in the eighth grade in school. She was having problems with slope-intercept forms of linear equations and I purchased Algebra 1 so I could refine my skills to help her study. We watched one chapter together and after that she said she didn't need me anymore. That was perfect on all levels!!! She scored a 98 on her latest test!
Date published: 2016-11-22
Rated 5 out of 5 by from Very solid course Very good course, with work divided into digestible chunks. The only complaint I have is that the examples given in the video can sometimes be a little too simple, and the workbook will sometimes include certain problems that I wish he had given similar examples to on screen. Despite this, it moves at a very reasonable pace and would work for both high school students and adults wanting a review of algebra.
Date published: 2016-10-28
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