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This course is a study of linear and quadratic equations and inequalities, system of linear equations, polynomials, exponents and radicals, relations and functions, graphs of functions, exponential and logarithmic expressions and their applications.
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 II class.
This course is consistently being populated with new videos.
Anyone who wants to fortify their understanding of algebra II or anyone that wishes 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 | 00:36 | ||
This video gives an overview of what this course will cover. |
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Section 2: Introduction To Real Numbers | |||
Lecture 2 | 06:46 | ||
This video goes over the basics of the real number system that is mainly used in Algebra. The video covers, natural numbers, integers, rational numbers, and irrational numbers. | |||
Section 3: Quadratic Equations | |||
Lecture 3 | 07:03 | ||
This video goes over the basic theory and terminology for the purpose of solving quadratic equations. Topics covered include: types of quadratic equations, the standard form of a quadratic equation, and solutions of quadratic equations. | |||
Lecture 4 | 08:31 | ||
This video goes over 5 examples covering the basic notation, concepts, graphs and algorithms to solve quadratic monomials of the form ax^2=0, and quadratic binomials of the form ax^2+c=0. | |||
Lecture 5 | 09:27 | ||
This video goes over 7 examples covering the proper way to solve quadratic equations of the form a(px+q)^2=0 and a(px+q)^2+c=0, the common method used to solve quadratic equations of these forms is by taking the square root. | |||
Section 4: Quadratic Equations: Factoring | |||
Lecture 6 | 09:50 | ||
This video is an introduction to solving quadratic equations by factoring. This video goes over 6 examples modeling the proper way to use the zero product property as a basis to solve quadratic equations by factoring. | |||
Lecture 7 | 06:37 | ||
This video continues covering the general procedure in solving quadratic equations by factoring. This video goes over 3 examples modeling the proper way to factor quadratic equations of the form ax^2+bx=0 and using the zero product property as a basis to solve quadratic equations of this particular form. | |||
Lecture 8 | 07:05 | ||
This video continues covering the general procedure in solving quadratic equations by factoring. This video goes over 3 slightly harder examples modeling the proper way to factor quadratic equations of the form ax^2+bx=0. In addition, the video covers a common mistake that is associated with quadratic binomials when attempting to solve for x. | |||
Lecture 9 | 09:40 | ||
This video is an introduction to solving quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 2 examples modeling the proper way to factor quadratic trinomials that are factorable over the integers. |
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Lecture 10 | 08:51 | ||
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 2 examples where the constant of the quadratic equation is negative. In addition, an example introducing the idea of an irreducible polynomial is also presented. | |||
Lecture 11 | 10:58 | ||
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 5 slightly harder examples that require algebraic manipulation, collecting like terms and expanding terms before proceeding with the factoring step. |
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Lecture 12 | 10:28 | ||
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over an example where the coefficient of the quadratic term is greater than 1. This video covers two common methods to solve quadratic equations of this form the first is by trial and error and the second is by the method of decomposition and grouping. |
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Lecture 13 | 09:11 | ||
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over an example where the coefficient of the quadratic term is greater than 1. The example involves an equation where the coefficient of the linear term is negative and that of the constant term is positive. | |||
Lecture 14 | 10:35 | ||
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over two examples where the coefficient of the quadratic term is greater than 1. The first example involves an equation where the coefficient of the linear term is negative and that of the constant term is also negative. The second example illustrates how to spot a quadratic equation that is not factorable over the integers by using the method of decomposition and grouping. | |||
Lecture 15 | 12:00 | ||
This video concludes the series on solving quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over four slightly more challenging examples where the coefficient of the quadratic term is greater than 1. | |||
Section 5: Conclusion | |||
Lecture 16 | 00:37 | ||
This video gives an overview of what was taught in this course. |
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