Course Summary
Algebra I course. Algebra I is one of the most sensitive courses that students take in high school. Not only does it introduce them to a powerful reasoning tool with applications in a variety of careers, but algebra is a gateway to higher education. Students who do well in algebra are better prepared for college entrance exams and for college in general because algebra teaches them how to solve problems and think abstractly—skills that hold true regardless of the major they pursue. . Because algebra involves a new way of thinking, many students find it particularly challenging. Many parents also find it to be the area where they have the most difficulty helping their high school children. With 36 half-hour lessons, Algebra I is a completely new course created to address these concerns, teaching students and parents the concepts and procedures of first-year algebra in an easy and accessible way. In fact, anyone who wants to learn algebra from scratch or needs a thorough review will find this course an ideal tutor.Overcoming the Challenges of Learning Algebra: Algebra I, taught by Professor James A. Sellers, an award-winning instructor at Pennsylvania State University, includes the following valuable features:
The Great Courses and Dr. Based on extensive research, Sellers has identified the greatest challenges for high school students in mastering Algebra I, which are specifically addressed in this course.
This course reflects the latest standards and emphases of high school and college algebra taught in the United States.
Algebra I includes a mini textbook with detailed summaries of each lesson, a large number of additional problems to supplement those presented in the on-screen lessons, step-by-step instructions for solving problems, and important formulas and definitions of terms.
Professor Sellers engages with viewers one-on-one, carefully explaining each step of solving a problem, and providing recurring tips, problem-solving strategies, and insights into the areas where students struggle the most. Gives.
Algebra Without Fear: Professor Sellers takes the fear out of learning algebra by approaching it in a friendly and reassuring spirit. Most students will not have a teacher as unhurried and detail-oriented as Dr. Sellers, who explains everything clearly and, if possible, in more than one way so that the most important concepts sink in. He begins with an overview of fractions, decimals, percentages, positive and negative numbers, and numbers raised to various powers, and shows how to perform various operations on these values. He then introduces variables as the building blocks of algebraic expressions, before turning to key ideas, terms, techniques, problems, formulas, and strategies for success in tackling Algebra I. , creating self-confidence and mastery in the student. After completing this course, students will be familiar with the terminology and symbolic nature of first-year algebra and will understand how to represent different types of functions (linear, quadratic, rational, and radical) using algebraic rules, data tables, and graphs. . In the process, they also become familiar with the types of problems that can be solved using these functions, with a particular focus on solving different types of equations and inequalities.During the course, Professor Sellers emphasizes the following skills:
Use multiple techniques to solve problems
Understanding when to use a given technique
Knowing how to translate word problems into mathematical expressions
Recognition of numerical patterns
Tips for Success: Algebra is a rich and complex subject where seemingly insurmountable obstacles can often be easily overcome if one knows how to approach them. Professor Sellers is an experienced guide in the field and a treasure trove of practical advice—from the simple (make sure you master the basics of addition, subtraction, multiplication, and division) to the more difficult (memorize the algebraic formulas you use. mostly). Here are some more examples of his tips for success:
Learn the order of operations: These are the rules you follow when doing math operations. You can remember the command with this sentence: Excuse my dear Aunt Sally. The first letter of each word stands for an operation. First do all the work in parentheses. then exponents. Then m multiply and d ivision. Finally, add and subtract.
Know your variables: If you don’t understand what each variable represents, you will make a mistake when writing an algebraic expression. 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 amazed at how a grid of lines encourages you to organize your thinking. Columns and rows help you keep track of your work neatly and easily.
Pay attention to signs: Be very careful about positive and negative signs. A wrong plus or minus sign will give you the wrong answer.
Don’t mix up units: If you’re using seconds and the time is given in minutes, make sure you convert the units so they’re all the same.
Simplify: Smooth out the clutter in an equation by putting like terms together. Constants such as 7 , -2 , and 28 are grouped together, as are expressions with the same variable, such as 3 x , x , and -10x . Then combine similar phrases. You will often 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 whole side by a quantity—do exactly the same thing on the other side. It keeps things in balance.
Above all, check your work! When you finish a problem, ask yourself, “Does this answer make sense?” Plug your solution into the original equation to see if it is correct. Reviewing your work is the first insurance policy for accurate work—the step that separates the good students from the superstars .