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 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.

This video walks through two examples of "advanced" distance formula problems. Specifically, problems where you are given the distance, but have to work backwards to find one of the original points.

In this video, we see how to simplify "complex fractions," which means a fraction within a fraction.

In this video, we work out work rates word problems. In the first problem, we see how long it takes to build furniture while working together. In the second problem, we see how long it takes to paint a room when working together.

In this video, we work out a work rates problem that has a small twist. You are given how long it takes both people to complete the job together, and then you are asked about an individual rate. This problem involves shoveling snow, but...

In this video, we learn how to solve quadratic equations with the quadratic formula. We examine one example where we have to simplify the radical, and a second example with a nonreal solution.

In this video, we solve two equations with rational exponents (fraction exponents). In order to solve equations with rational (fraction) exponents, you first isolate the value that is raised to the rational exponent. Then, you raise both...

This is my second video on deriving the Unit Circle. If you know where the angles (degrees and radians) come from, your next step is to use special right triangles to derive the points on the Unit Circle.

In this video, we investigate how to find trig ratios when given other ratios. First, we define all six trig ratios, then we examine for which quadrant each angle is positive and negative. Then, we work two examples.

The sum of the exterior angles of a polygon is discussed in this video. We derive the rule, solve practice problems, and then at the end we look at an interesting relationship between the sum of the INTERIOR angles and the sum of the...

In this video, we will practice simplifying expressions using the basic trig identities. We will work three practice problems using Reciprocal, Quotient, and Pythagorean Identities.

In this video we will VERIFY identities (see if the identity is true) using the basic trig identities - reciprocal, quotient, and Pythagorean.

How to solve problems with bearing using trigonometry. Bearing is often used as a way of describing direction in sailing and navigation. Once you know the basic definitions and some trigonometry, you can use bearing to find direction and...

How to prove the Law of Sines. Why does the Law of Sines work? In this video we prove the Law of Sines for right triangles. The Law of Sines is a great tool for finding side lengths and angle measures of triangles, so it is good to know...

How do you divide polynomials? This video discusses how to divide polynomials with the box method. I prefer the box method because the standard algorithm for dividing polynomials can be a bit confusing.

How to divide polynomials with a box method when there is a remainder? This video examines how to use the box method for polynomial division when there is a remainder involved. This method is (in my opinion) much easier than the standard...

How can you evaluate an arithmetic series for the first n terms? This video derives the rule/equation, and then includes a few practice problems. We begin by investigating how to the the sum of the first "n" natural numbers, then we...

How can you add up an infinite number of values? In this video we derive the rule and learn how to find the sum of a geometric infinite series. I give a visual example of how we can add up an infinite number of terms in a geometric...

What is a factorial? What is the fundamental counting principle? This video will define these two ideas and provide examples. You will often see these type of problems when figuring out how many ways toppings can go on ice cream or how...

How do you set up distance-rate-time word problems and use a system of equations? This video shows how to use a table to organize information and write the needed equations to solve the system.

How do you write parametric equations when given a table? This video shows how you can use a given table of values to write parametric equations.