Here I introduce what real numbers, talking about positive and negative numbers as well as integers.

In this video, I will cover what absolute value is and how to evaluate the absolute value of different numbers.

Here I will cover how to add real numbers.

Students will be able to apply properties of adding real numbers.

Here I will relate the subtraction of real numbers to the addition of real numbers.

In this lecture, I will go over how to multiply real numbers.

Similar to the properties of addition, I will cover the properties of multiplying real numbers.

The distributive property is a unique property that I will cover in this video.

In this video, I will relate the division of real numbers with the multiplication of real numbers.

Here I will cover what a linear equation is with a few examples of linear and nonlinear equations. I will also go over how to solve basic one-step linear equations with addition and subtraction.

Here I will cover how to solve simple linear equations using multiplication and division.

In this lecture, I will go over how to solve equations using combinations of multiplication/division and addition/subtraction.

Here I continue with the buildup in this chapter; I will go over how to solve equations similar to multi-step equations except now we have one more term with variables.

Here I will cover how to identify two types of special solutions to linear equations: when we have infinite solutions and the case where we have none.

Students will attempt a practice problem involving solving linear equations.

Students will attempt another practice problem involving solving linear equations.

Here I will go over an application of linear equations, and why they are so important.

Here I will extend our ideas from previous videos to decimal equations, where our solutions aren't whole numbers.

In this video, I will relate equations to formulas.

In this video, I will relate equations to functions.

Here I will cover rates, ratios, and percents, three similar concepts that have slight differences.

In this video, I will give you a problem that asks you questions about rates, ratios, and percents.

Here I will intro graphing, talking about coordinate planes and ordered pairs.

In this video, I will cover scatter plots, another type of graph that you will encounter.

In this video, I will cover how to graph functions, going through a three-step method that you can to graph any function.

Here I will go over two special types of graphs: horizontal and vertical lines.

Students will learn a simple, quick method for graphing functions using the x and y intercepts of the graph.

Here I will introduce a key characteristic of any line: slope.

In this video, I will cover the four types of slopes you will encounter in math.

Students will learn about a specific type of graph where the intercept of the graph is the origin.

In this video, I will go over one of the most popular ways to graph functions, using the slope and the y-intercept of the function.

Here I will relate the slope of different lines to parallel and perpendicular lines.

Students will learn to use graphing to solve linear equations.

In this video, I will cover how to determine whether a certain line or relation is a function.

In this video, I will cover function notation, a common way you will see functions being represented.

Here I will cover how to write linear equations in slope-intercept form when given a point that is not the y-intercept.

Here I will relate parallel and perpendicular lines to writing linear equations.

Here I will introduce the concept of correlation, an important aspect of scatter plots.

A concept closely related to correlation is the line of best fit, which can approximate data outside of a certain set.

In this lecture, I will cover another way to express functions; in this form, all you need is a point on the line and the slope.

Here I will cover how to go from point-slope to slope-intercept form.

The standard form of a linear equation is one more way we can express linear functions.

With all the different forms of equations to know, in this video, I summarize them all. You should use this lecture as a quick reference if you ever forget a certain form.

Going back to the concept of scatter plots and lines of best fit, in this video, I will cover how to use lines of best fit to estimate data that isn't recorded.

Here I will introduce how to solve and graph simple one-step linear inequalities using addition and subtraction.

In this video, I will build on the previous lecture by solving linear inequalities using multiplication and division.

Some inequalities will require multiple steps to solve; here I will go over how to solve them, in a fashion similar to solving multi-step equations.

Here I will continue our logical progression by going over how to solve linear inequalities with variables on both sides.

With inequalities, you may also encounter compound inequalities, where your solution must satisfy two inequalities.

Here I will do two practice problems involving compound inequalities.

Here I will take a break from inequalities and go over how to solve absolute value equations.

Back to inequalities! In this video, I will cover how to solve absolute value inequalities.

Here I will cover how inequalities with two variables work, specifically how to graph them.

In this video, I will cover how to shade in the graphs of multiple two-variable inequalities (where you must account for whether the solutions overlap or not).

In this video, I will introduce concepts involving data: stem and leaf plots (a way to express data) and mean, median, and mode (three aspects of a set of data).

Here I will do a practice problem involving the concepts covered in the previous video.

In this final lecture of this chapter, I will go over another way to represent data: box and whisker plots.

Here I will go over how to solve systems of linear equations by graphing them.

In this video, I will introduce another method for solving linear systems, this time it will be an algebraic method called substitution.

In this video, I will cover a practice problem involving the method covered in the previous video.

In this video, I will cover a practice problem involving elimination, the method covered in the previous video.

Here I will summarize our methods for solving systems of linear equations, as well as give you some tips on when to use which method.

In this video, I will go over an application of linear systems. I will show you how to write a system and solve it to find the answer to a word problem.

Here I will cover special types of systems of linear equations (using graphs).

In this video, I will cover how to solve systems of linear inequalities (where you could see more than two inequalities).

In this video, I will cover special types of systems of linear inequalities, where you could have no solutions or all real numbers as your solution.

Here I will cover certain properties with multiplying exponents.

In this video, I will cover how to handle zero and negative exponents.

Another aspect of simplifying exponent expressions is knowing how to divide exponents.

In this video, I'll cover an example of a simplifying a complex expression involving exponents.

Here I'll introduce exponential functions, which will become the focus of the latter half of chapter.

Here I'll cover scientific notation, a way to use exponents to easily express very large and very small numbers.

In this video, I'll add onto exponential functions by covering exponential growth, a feature seen in some data sets.

In this video, I will cover the opposite of exponential growth: exponential decay.

Here, I will wrap up this chapter with a few practice problems.

Here I will introduce square roots, specifically how to evaluate them and terminology with them.

In this video, I will go over perfect squares, a specific type of square root you will often encounter.

Now that we have covered square roots, I will introduce quadratic equations.

Having introduced square roots, it is important to also cover properties of radicals.

Here I will go over how to graph quadratic functions.

In this video, I will do a practice problem involving graphing quadratic functions.

Now that you know how to graph quadratic functions, I will show you how to use them to solve quadratic equations.

Here I will cover another way to solve quadratic equations: the Quadratic Formula.

In this video, I will a common application of quadratic functions: motion

One important characteristic of quadratic equations is the discriminant.

Here I will go over how to graph quadratic inequalities.

In this video, I will compare the three different types of graphs you have seen in Algebra.

Here I will do a practice problem involving fitting a certain data set to a function.

Here I will introduce polynomials, a type of expression that will be the focus of this chapter.

In this video, I will cover basic addition and subtraction with polynomials.

One of the main operations with polynomials is FOILing, which deals with how to multiply two different polynomials.

Here I will do a practice problem involving FOILing.

There are a few special products of polynomials that are referred to commonly; here I will cover them.

In this video, I will go over how to solve polynomial equations one you have them in factored form.

Here I will introduce the major concept of this chapter: factoring.

In this video, I will add to the previous video's techniques for factoring.

The discriminant is an important element of factoring that can tell us when it will be easy to factor certain expressions.

Here I will show you how to factor expressions where the leading coefficient isn't one.

In this video, I will do a practice problem to reinforce how to factor expressions.

Just like how I introduced special products of polynomials when FOILing, here I will introduce factoring special products.

I will cover another method for factoring expressions using the distributive property.

Here I will cover another technique for factoring (factoring by grouping).

In this final video, I will extend our ideas about polynomials to modeling.