Colleges created remedial education classes to ensure students were sufficiently prepared for more advanced material. But increasingly, there’s a sense that remedial courses are hurting the prospects of the students they are intended to...

In this math video, we’ll explore how to determine if a table represents an exponential function using a real-world bacteria growth scenario.
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We start with a culture that begins with 1,000 bacteria, and each hour, the...

Reasoning with Equations and Inequalities
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Represent And Solve Equations And Inequalities Gr
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phically

HS.A-REI.D.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y =...

In this video, we work through a few examples of polynomial long division, and we relate it to long division of constants (regular numbers).

In this video, we use the product rule and the power rule to simplify expressions.

In this video, we do a quick few examples of factoring trinomials. To get a more conceptual understanding of why factoring by grouping works, please watch my other video: • Factor Polynomials by Grouping

In this video, we factor polynomials with long division. Specifically, we look at examples where there is a "missing term," and we discover how to rewrite the polynomial so that it factors nicely.

In this video, we will factor polynomials that don't initially appear to be in the form of a quadratic. We will accomplish this by rewriting them in the form of a quadratic with substitution.

In this video, we factor special product binomials. Specifically, we factor difference of square, sum of cubes, and difference of cubes.

In this video, we will define imaginary numbers and examine the complex number system.

In this video, we define rational expression, and find the domain of rational expressions.

In this video, we examine two quadratics word problems. In the first, we do a problem involving the radius of a sprinkler in a square yard. In the second problem (2:40), we find two consecutive odd numbers that have a particular product.

In this video, we do two quadratics word problems. The first involves two square and their areas. The second involves a right triangle with polynomial side lengths.

In this video, we use quadratics to determine the dimensions of a metal sheet that was folded up to make a box of a particular volume.

In this video, we examine how to use quadratics in a situation involving revenue for an apartment complex.

In this video, we learn how to add, subtract, multiply, and divide complex numbers. In the dividing portion of this video (7:05), we look at how to use the complex conjugate to rewrite quotients.

In this video, we use substitution to take equations and rewrite them in the form of a quadratic so that we can solve them.

In this video, we examine how to solve absolute value equations. We try to develop a conceptual understanding by representing the equations on a number line.

In this video, we look at two examples of absolute value equations. The first is a quadratic absolute value equation. The second is an absolute value equation with no solutions.

In this video, we examine how to solve absolute value inequalities by representing the inequalities on a number line.

In this video, we solve three absolute value inequalities. The first example is pretty standard, the second example are what I would call "exceptions," meaning that one has no solutions, and the other has all real numbers as its solutions

This video is a basic video on using the distance formula when given two points.

In this video we learn how to solve systems of equations with elimination / combination.

This is the first of my videos on factoring polynomials using the box method. Factoring polynomials is never easy, but I've seen several different strategies and I love the box method!