Is there time? Fencers need to make mental calculations within a match. The Math at the Core MS: Ratios resource points out that fencers calculate the ratio of touches per time left to help develop strategies to win. The competitors also...

Putting the finishing touches on this practice session, Sal takes students through an algebra problem involving percentages (or decimals, as he prefers) and a geometry problem with equilateral rectangles. Students who need a little more...

Sal further ponders the meaning of wealth in this video, which explores the values of gold, land, and money. Touching on Adam Smith's definition of wealth, the presentation discusses the philosophy of utility and what different media of...

What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a specific time. He...

Here's help in making the giant leap from finding real to finding complex roots. Careful and thorough in explanation, the theory of polynomial algebra is briefly touched upon before the examples really dive into the application...

Finding patterns—seems easy enough. High schoolers learn the definition of a sequence in a concept video. Four problem videos then cover finding a particular term of a sequence given an explicit formula and identifying arithmetic...

What do shapes sound like? Scholars learn about the frequencies of pure tones created by vibrations of shapes. The video first considers the case of string, then moves on to two dimensions. It touches upon Fourier series and a question...

Chef Jamika is at it again, highlighting math and science in her cooking demonstrations. In this episode, ratios and fractions are introduced within the main topic of carbohydrates and the direction for making succotash! The general...

While often used interchangeably, the distinction between accuracy and precision is critical for many scientific endeavors. Discover the importance of consistency for precise results, and the need for accuracy in the field...

What kind of lines have equal slopes, equal incline or decline, and equal rise over run? Yes! Parallel lines. What are parallel lines? They are lines on a graph that go on and on and on forever and never touch each other. Watch this...

Parallel lines never intersect. That's right, NEVER! They are in the same plane but never touch. The instructor illustrates many types of lines and shows you how parallel lines don't ever cross.

Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...

In this video on the Binomial Theorem, Sal tries to give an intuition behind why combinations are part of its definition. By looking at the expansion of (a + b)3 and carefully looking at where each value originates from, one can see how...

Continuing with the lesson on compound interest, in this video, Sal derives the general formula for any amount of principle, interest rate, and compounding periods over one year.

Sal continues to look at changing the length of compounding time, from daily to hourly compounding interest. Now he is able to show that compounding 100% annual interest converges on the number 2.71É or e as the number of compounding...

Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...

Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.

Going into more detail about the potential weaknesses of fractional reserve banking, this video introduces some of the ways the economy has been engineered to address these issues, such as the "lender of last resort" and insurance...

Sal is starting a cupcake factory and walks learners through the cost and profit calculations necessary for any new business. He uses simple numbers for the start-up costs, overhead, product price, and cost per cupcake. Sal writes out...

Continuing from the last clip on liquidation, scholars explore another bankruptcy avenue: restructuring. Sal briefly touches on covenants with debt holders and goes into reasons a company would refrain from liquidating when facing...

The last of four videos, this clip explains why there were such low default rates at the beginning of the 21st century, and the effect this had on the market. Sal breaks down the options for a homeowner who can no longer pay a mortgage...

Explore the patterns of a reciprocal function with an engaging video lesson that compares graphs of reciprocal functions to different polynomial functions. After describing the key features, the instructor explains the patterns that...

The definition of a kilogram is debatable. An informative video (as part of a larger playlist) shares the problem with the current definition of a kilogram. It explains why the concept became a challenge to explain as well as multiple...

Learn about the mathematics of fencing, including the ratio of touches to time remaining that an athlete needs to mentally calculate in order to stay in the match, in this video from Center for Asian American Media. In the accompanying...