Description
Algebra I Course. Algebra I is one of the most responsive courses 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 the gateway to higher education. Students who do well in algebra are better prepared for college entrance exams and 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 designed 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 an in-depth review will find this course an ideal teacher.
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:
- Based on extensive research by Great Courses and Dr. Sellers, we have identified the biggest challenges for high school students in mastering Algebra I, which are specifically addressed in this course.
- This curriculum reflects the latest standards and emphasis of high school and college algebra teaching in the United States.
- Algebra I includes a short 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 the problems, and definitions of important formulas and terms.
- Professor Sellers engages with the audience one-on-one, carefully explaining each step of solving a problem, and providing recurring tips, problem-solving strategies, and insights into areas where students struggle the most.
Algebra Without Fear: Professor Sellers takes the fear out of learning algebra in a friendly and reassuring way. Most students will never have a teacher as hurried and detail-oriented as Dr. Sellers, who explains everything clearly and, if possible, in more than one way so that the most important concepts stick. He begins with an overview of fractions, decimals, percents, 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, building confidence and mastery in the student, before turning to key ideas, terms, techniques, problems, formulas, and strategies for success in tackling Algebra I. After completing this course, students will be familiar with the terminology and symbolic nature of first-year algebra and 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 problems that can be solved using these functions, with a particular focus on solving different types of equations and inequalities.
Throughout 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
- Numerical Pattern Recognition
Tips for Success: Algebra is a rich and complex subject where seemingly insurmountable obstacles can often be easily overcome if one knows how to deal with them. Professor Sellers is an experienced guide in the field and has a wealth of practical advice – ranging from the simple (make sure you master the basics of addition, subtraction, multiplication, and division) to the more difficult (remember the algebraic formulas you use most). Here are some more examples of his tips for success:
- Learn the order of operations. These are the rules you follow when performing math operations. You can remember the order with this sentence: Excuse me, my dear Aunt Sally. The first letter of each word represents an operation. First do all the operations in parentheses. Then exponents. Then multplication and division. Finally, add and subtract.
- Know your variables: If you don’t understand what each variable represents, you will make mistakes when writing algebraic expressions. Choose letters that you can remember. For example D for the distance and Tea For the time being. If your handwriting is sloppy, avoid letters that look like numbers ( B , l , Hey , S etc For example: ,
- 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 the signs: Be very careful with the positive and negative signs. The wrong plus or minus sign will give you the wrong answer.
- Don’t mix 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: Remove clutter in the equation by putting like terms together. Constants such as 7 , -2 etc 28 are grouped together, such as expressions with the same variables, such as 3 X , X etc -10x . Then combine like phrases. You’ll 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. This 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’s correct. Reviewing your work is the first insurance policy for accurate work – the step that separates good students from superstars ,
What You’ll Learn in Algebra I
- To teach the tricks of translating the language of problems into mathematical language.
- Explore real-world applications of linear equations.
- Find out how to analyze patterns and create a formula that predicts each word in the sequence.
Algebra I Course Specifications
- Publisher: Great Courses
- coach: James A. Sellers
- Training level: Beginner to advanced
- Training duration: 18 hours and 31 minutes
- Number of courses: 36
Algebra I Course Topics
Course Images
Sample video of the course
installation Guide
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Quality: 720p
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