Feel like Hercules for a day. Individuals watch a video that describes how to defeat a mathematical Hydra that grows additional heads when one is cut off. The solution requires scholars to use ordinals and the well-ordering theorem.

Scholars learn about the basics of quantum computing, starting with Schrodinger's Cat through a video that explains the mathematics behind quantum computers, including the representation of quantum gates as matrices.

No one wants to pay more for rent than they need to. Here is a video where future renters can learn how to fairly split rent with roommates based on room preferences. An explanation of the Sperner's lemma using an simplex isn't as...

Imagine an infinitely-large chess board with an infinite number of pieces. Pupils learn about infinite chess and how it is a determined game, in that there is always a winning strategy. The video first applies Zermelo's Theorem to show...

A fast-paced video offers examples of proof techniques. It covers logic, bijections, applying previous math results, mathematical induction, and proofs with pictures.

Pick up a resource on Pick's Theorem. Individuals watch a video explaining how to find the area of a polygon drawn on a lattice using Pick's Theorem. The film also shows a proof of the theorem using the Euler characteristic and algebra.

Take a walk down random lane. Scholars learn about random walks, where a random process like flipping a coin determines the next move of the walk. The video explains the difference between recurrent and transient walks based on whether a...

Paint, wrapping paper, frosting—so many applications of surface area. The video provides an explanation of the surface area formula and how to apply it to regular pyramids. 

An instructional video shows how to create nets for different types of pyramids. The instructor demonstrates the variation in the net as the type of base changes. 

Increase pupil understanding of formulas as they apply surface area and volume calculations to determine ratios of different prism sizes. The examples include both a cube and rectangular prism. 

Nothing but net! Pupils learn to use nets to create a two-dimensional representation of a three-dimensional figure. The instructor explains each section of a net of a cube and then of a rectangular prism. 

Working with standard equations is essential to mathematics. The instructor shows pupils how to apply the equation of a circle to determine the center, radius, and intercepts of a circle. Learners then view three examples that...

Introduce the concept of domain and range with a video that starts with the formal definitions of the domain and range and moves on to the practical descriptions used to determine them. The presentation explains how to find the domain...

Function, function, what is your notation. Introduce your class to function notation with a video that shows examples of how to evaluate functions at numerical values along with algebraic values. The last example shows pupils...

The representation of a relationship really depends. The difference between dependent and independent variables is the focus of a short video that also includes examples of determining the types of variables. The presenter makes the...

Help your classes form an appreciation for pyramids like the Egyptians! The instructional video explains the components of a pyramid and the formula for the volume of the pyramid. The example shows how to calculate the volume given...

Create a solid understanding of the concept of surface area. Building from the previous lesson in the series, the instructor demonstrates how to apply a formula to find the surface area of a rectangular prism. Examples use the formula to...

Applying formulas to different scenarios is a necessary skill in mathematics. Learners see how to find the volume of a rectangular prism using a volume formula. 

A geometry video explains how to solve for midpoint, length of a line, and use the Pythagorean Theorem. It includes multiple guided practice problems for all three equations.

Working with functions is transformational! An illustrative video explains the basics of the six algebraic transformations. The instructor uses function notation and provides an example of each. 

What do musicians and mathematicians have in common? Compositions! Learners review function composition in the previous video in a series of 29, and expand that review to include the domain of the composition. The instructor uses...

Make nesting dolls out of functions! An educational video describes the steps to creating a composite of three functions.

We add numbers, so why not functions? A math video explains the process of combining functions using addition, subtraction, multiplication, and division. The instructor then finds the domain for each new function. 

Finding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....