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This course is an introduction to the basic principles and skills of algebra. Topics include: Variables, Grouping Symbols, Equations, Translating Words Into Symbols, and Translating Sentences Into Equations.
This course contains a series of video tutorials that are broken up into various levels. Each video builds upon the previous one. Level I videos lay out the theoretical frame work to successfully tackle on problems covered in the next videos.
These videos can be used as a stand alone course or as a supplement to your current algebra I class.
This course is consistently being populated with new videos.
Anyone who wants to fortify their understanding of algebra I or anyone that whishes to learn algebra I can benefit from this course.
This course is consistently monitored ready to reply to any questions that may arise.
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Section 1: Introduction | |||
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Lecture 1 | 01:10 | ||
This video gives an overview of what this course will cover. |
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Section 2: Variables | |||
Lecture 2 | 06:22 | ||
This video will teach you the fundamentals of algebra. You will learn about variables, variable expressions, numerical expressions, simplifying and evaluating algebraic expressions. | |||
Lecture 3 | 06:52 | ||
This video goes over a couple of examples showing how to determine if a statement is true or false, how to simplify numerical expressions and how to evaluate variable expressions. | |||
Section 3: Grouping Symbols | |||
Lecture 4 | 05:30 | ||
This video goes over the proper way to simplify numerical expressions using grouping symbols, nested grouping and expressions without grouping symbols. | |||
Lecture 5 | 10:39 | ||
This video goes over a couple of examples showing how to simplify and evaluate algebraic expressions with and without grouping symbols. | |||
Section 4: Equations | |||
Lecture 6 | 04:42 | ||
This video goes over the basic structure of open sentences and finding solutions (roots) of simple algebraic equations over a given domain. | |||
Lecture 7 | 05:22 | ||
This video goes over a couple of examples modeling the proper way to find the solution set of simple algebraic equations over a given domain. The video goes over equations that have one solution, many solutions and no solutions. | |||
Section 5: Translating Words Into Symbols | |||
Lecture 8 | 08:26 | ||
This video shows you how to translate mathematical phrases written in words and translating them into variable expressions. Common phrases involving addition, subtraction, multiplication, and division are covered. In addition, the video introduces the use of formulas. Specifically, the area and perimeter of a rectangle, the distance traveled and cost formula. | |||
Lecture 9 | 09:22 | ||
This video goes over a couple of examples modeling the proper way of translating phrases into variable expressions. Examples includes simple phrases, height between two individuals, and phrases that require the use of formulas. | |||
Section 6: Translating Sentences Into Equations | |||
Lecture 10 | 06:24 | ||
This video goes over 8 examples, covering the proper way to translate sentences usually containing the key word "is" into equations. | |||
Lecture 11 | 08:03 | ||
This video goes over 9 examples, covering the proper way to translate sentences into equations that require the use of formulas. | |||
Section 7: Translating Problems Into Equations | |||
Lecture 12 | 10:29 | ||
This video introduces a 3 step problem solving plan for solving word problems. This video goes over 3 examples illustrating how to translate word problems into equations. |
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Lecture 13 | 10:55 | ||
This video continues illsutrating the 3 step problem solving plan for solving word problems. This video goes over 5 challenging examples illustrating how to translate word problems into contain three facts and three unknowns. |
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Section 8: Conclusion | |||
Lecture 14 | 00:49 | ||
This video gives an overview of what was taught in this course. |
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