In this video Paul Andersen explains how equilibrium is achieved in a reversible reaction. When the rate of the forward reaction is equal to the rate of the reverse reaction the system is at equilibrium. Graphical analysis of...

Today is the day we finally talk about the normal distribution! The normal distribution is incredibly important in statistics because distributions of means are normally distributed even if populations aren't. We'll get into why this is...

How does Stranger Things fit in with Physics and, more specifically, circuit analysis? I'm glad you asked! In this episode of Crash Course Physics, Shini walks us through the differences between series and parallel circuits and how that...

There are a lot of events in life that we just can’t predict, but just because something is random doesn’t mean we don’t know or can’t learn anything about it. Today, we’re going to talk about how we can extract information from...

In this video Paul Andersen explains how the gravitational field strength is directly related to the mass of the object and indirectly related to the square of the distance from the center of mass. The equation for gravitational field...

Today we’re going to talk about data relationships and what we can learn from them. We’ll focus on correlation, which is a measure of how two variables move together, and we’ll also introduce some useful statistical terms you’ve probably...

In this video Paul Andersen explains how the reaction quotient is used to determine the progress of a reversible reaction. The reaction quotient (Q) is the ratio of the concentration of products to the concentration of reactants. The...

Many people in the United States and Latin America have grown up celebrating the anniversary of Christopher Columbus's voyage. But was he an intrepid explorer who brought two worlds together or a ruthless exploiter who brought...

Test statistics allow us to quantify how close things are to our expectations or theories. Instead of going on our gut feelings, they allow us to add a little mathematical rigor when asking the question: “Is this random… or real?” Today,...

This week we are building on last week’s outline of American stratification to explore how class differences affect people’s daily lives. We’ll explore variations in everything from values & beliefs to health outcomes, and look at how...

Today we begin our discussion of computer graphics. So we ended last episode with the proliferation of command line (or text) interfaces, which sometimes used screens, but typically electronic typewriters or teletypes onto paper. But by...

Today we’re going to finish up our unit on data visualization by taking a closer look at how dot plots, box plots, and stem and leaf plots represent data. We’ll also talk about the rules we can use to identify outliers and apply our new...

New ReviewIn this math video lesson, students learn how to determine the approximate location of irrational square roots on a number line through a clearly modeled exemplar problem. The lesson begins by labeling the number line with perfect...

New ReviewIn this short math video, students learn how to factor a quadratic by grouping using a clear, five-step process. The lesson begins by reviewing the standard form of a quadratic, and then models each step carefully so students can follow...

New ReviewIn this math video, we will learn how to write the equation of a quadratic function given three points. We begin by recognizing that two of the given points are zeros, or x-intercepts, and use them to write the quadratic in intercept...

New ReviewIn this math video, we will learn how to write an AND compound inequality that represents a number line graph. Students will review how open circles show less than or greater than (not inclusive), while closed circles show less than or...

New ReviewIn this math video, we will learn how to write a compound inequality that represents a given number line graph. Students will review how open and closed circles communicate the meaning of less than, greater than, less than or equal to,...

New ReviewWe all struggle with confidence sometimes. Yet, its value as a workplace skill is beyond doubt. So, here is a short introduction to the essentials of confidence at work. Do you want a concise, yet precise, description of how to deal with...

New ReviewUnderstanding the basic characteristics of the identity function such as the domain, range, increasing, decreasing, extrema and if it is even or odd.

New ReviewLets discuss the domain, range, increasing, decreasing intervals and extrema of the quadratic.

New ReviewLet's do a quick review of adding and subtracting rational expressions. Working through the basics and examples finding the LCD

New ReviewWhat should you know about the square root graph to make sure that you can graph it at any time. Well that is to know the table of values that work

New ReviewNot every baby is born into wealth and privilege, but you can still set up your children for financial success. And, with the right steps, you can even help them get rich by the time they turn 18! To find out exactly how to get this...

In this shorts video we will learn how to write the equation of a line. We will begin by discovering that all the given answer choices are in slope-intercept form; y=mx+b. We will then review the information about the line that is...