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Welcome to High School Algebra 2 / College Algebra explained.
Hi, my name is Shaun Reilly and I have been a math and computer science teacher for over 10 years. I have taught everything from Algebra and Geometry to Game Design and AP Computer Science. Because of the varying ranges of difficulty that my courses have, I also have much greater flexibility in teaching a wide range of students on different skill levels. Whether you have taken a College Algebra class in the past and just need to brush up, or you are a current or even future student who wants to get jump on concepts or have the concepts explained in a different way, this is the class for you. In addition, this class mimics many of the concepts found in a High School Algebra 2 class as well, so those students can also benefit from the material.
This course is broken up into learning sections, each having 3 items. The first item is guided notes. This section explains the theory behind what you will learn, as well as some facts about why the concepts within that section are important. As math teachers we tend not to spend enough time telling the importance of the subject matter, and how it actually pertains to real life. The second item consists of example problems that I complete step by step. I highlight problem areas and give you tips for solving problems of that type. The third and final item consists of extra homework problems for you to try, along with an answer key.
After completing this course, you will have a strong foundation in advanced Algebra concepts, and you should be ready to take a more advanced course such as Trigonometry or Pre-Calculus.
During this course I will cover a wide variety of Algebra topics including, but not limited to:
-Solving and graphing linear equations and inequalities
-Solving systems of linear equations
-Using matrices
-Factoring monomials, binomials, and polynomials
-Using rational expressions, equations, and exponents, and solving quadratic equations
-Working with exponential and logarithmic functions and equations
If that sounds like a lot…it is! But I will be here walking you through step by step with tons of examples and background information.
The ideal student for this course really varies. You could be a high school student who will be taking or is currently taking Algebra 2, a college student who will be taking or is currently taking a College Algebra course, or someone who wants to take a more advanced math course such as Trigonometry or Pre-Calculus and wants to brush up on their Algebra skills beforehand.
Thanks for your interest in High School Algebra 2/ College Algebra Explained. If you’re still unsure if this is the right course for you, please try the free preview of this course. I’m hoping that after a few minutes you’ll see how valuable this course really can be. See you in the classroom!
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Section 1: College Algebra Explained | |||
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Lecture 1 | 02:39 | ||
A brief introduction to who I am as well as a description of what you will learn in this course. |
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Lecture 2 | 07:43 | ||
At the end of this section you will be able to solve equations with 1 variable using the addition property of equality and the subtraction property of equality. |
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Lecture 3 | 14:38 | ||
You will be able to solve and graph inequalities. I will explain how this is different than solving equations. |
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Lecture 4 | 08:42 | ||
You will be able to solve inequalities involving absolute value as well as using the coordinate system to graph them correctly. |
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Lecture 5 | 12:11 | ||
You will be able to work with linear functions. |
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Lecture 6 | 16:32 | ||
You will be able to work with linear functions. |
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Lecture 7 | 11:29 | ||
You will further examine operations on linear functions. |
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Lecture 8 | 09:02 | ||
You will be able to complete inequalities in two variables, as well as work with the graphing method of solving systems of equations. |
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Lecture 9 | 09:10 | ||
You will continue looking at systems of equations, and will be able to solve them using substitution and elimination. |
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Lecture 10 | 05:09 | ||
We will continue to look at systems of equations, and you will be able to solve them using substitution and elimination. |
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Lecture 11 | 07:10 | ||
You will be able to use determinants of matrices as well as other elementary operations. |
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Lecture 12 | 11:49 | ||
Further discuss matrices and their uses. |
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Lecture 13 | 13:52 | ||
Review of factoring. |
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Lecture 14 | 09:33 | ||
Review of factoring. |
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Lecture 15 | 09:41 | ||
You will learn about rational functions and how to work with them. |
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Lecture 16 | 10:01 | ||
You will be able to perform operations on rational expressions and complex fractions. |
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Lecture 17 | 08:11 | ||
You will be able to manipulate rational expressions and complex fractions in order to represent them in simplest form. |
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Lecture 18 | 08:09 | ||
You will be able to use rational exponents to represent numbers. |
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Lecture 19 | 10:49 | ||
You will be able to operate on radical expressions as well as radical functions. |
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Lecture 20 | 22:07 | ||
You will be able to operate on radical expressions as well as radical functions. |
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Lecture 21 | 12:29 | ||
You will be able to solve equations containing radical functions, and use complex numbers. |
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Lecture 22 | 06:18 | ||
You will be able to solve quadratic equations. |
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Lecture 23 | 13:20 | ||
You will learn the properties of quadratic functions. |
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Lecture 24 | 08:24 | ||
You will learn the properties of quadratic functions. |
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Lecture 25 | 04:14 | ||
You will be able to apply quadratic functions to solve real world problems using the minimum and maximum. |
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Lecture 26 | 06:09 | ||
You will be able to translate graphs along the x and y axis. |
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Lecture 27 | 07:07 | ||
You will be able to work with exponential and logarithmic functions. |
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Lecture 28 | 13:56 | ||
You will be able to work with exponential and logarithmic functions. |
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Lecture 29 | 06:04 | ||
You will be able to work with exponential and logarithmic functions. |
I am a current Computer Science and Math teacher at a high school in New Jersey, USA. I have taught both of these subject areas for over 10 years, including specialization in Algebra concepts, using Game Maker Studio, Visual Basic, and AP Computer Science using Java. I most enjoy teaching game design and computer science because it is great to have a product at the end of the course, and it is amazing to see what the students can do with what you have taught them.