Explore autosomal recessive trait and X-linked recessive trait tracking in pedigrees with the Amoeba Sisters! Table of Contents: Intro 00:00 Introducing Symbols/Numbering in Pedigree 0:40 Meaning of Shading in Shapes 1:19 Introducing...

In this video Paul Andersen explains how the macroscopic measure of temperature can be related to the average kinetic energy of molecules in motion. The Boltzmann constant and distribution can be used to calculate the root mean square...

The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.

Lake Maracaibo is the stormiest place on the planet. Thunderstorms rage above this massive body of water for up to 200 days of the year, with each ear-splitting event lasting for several hours. But why? Graeme Anderson lists the factors...

The evil wizard MoldeVort has been trying to kill you for years, and today it looks like he’s going to succeed. But your friends are on their way, and if you can survive until they arrive, they should be able to help stop him. Can you...

Today, we're looking at measures of spread, or dispersion, which we use to understand how well medians and means represent the data, and how reliable our conclusions are. They can help understand test scores, income inequality, spot...

Dutch artist Piet Mondrian's abstract, rectangular paintings inspired mathematicians to create a two-fold challenge. Can you solve the puzzle and get to the lowest score possible? Gordon Hamilton shows how.

Can you ever travel from one place to another? Ancient Greek philosopher Zeno of Elea gave a convincing argument that all motion is impossible - but where's the flaw in his logic? Colm Kelleher illustrates how to resolve Zeno's Dichotomy...

In this video Paul Andersen explains the importance of standard deviation. He starts with a discussion of normal distribution and how the standard deviation measures the average distance from the mean, or the "spread" of data. He then...

In this episode we talk about dimensions and how we know that we live in 3D (or do we?).

You’re on the trail of a werewolf that’s been terrorizing your town. After months of detective work, you’ve narrowed your suspects to one of five people. You’ve invited them to dinner with a simple plan: to slip a square of a rare...

What do Euclid, 12-year-old Einstein, and American President James Garfield have in common? They all came up with elegant proofs for the famous Pythagorean theorem, one of the most fundamental rules of geometry and the basis for...

Hank introduces us to the most beautiful numbers in nature - the Fibonacci sequence.

We've talked about AC Circuits, but now it's time to delve into the world of AC Circuits (or Alternating Currents). We’ve talked about how they change voltage, which helps transmit electricity over long distances, but there’s so much...

New ReviewIn this short math lesson, we’ll solve a quadratic equation step-by-step using completing the square. We follow 6 quick steps: 1️⃣ If necessary, “move” c to the right side of the equation. 2️⃣ If necessary, divide all terms by a. 3️⃣...

New ReviewThere are a couple of different ways we can graph a quadratic. In this video we are going to explore the two most common.

New ReviewIn this video we are going to explore how to identify the foci and asymptotes of a hyperbola

New ReviewIn this video I am going to work through a problem that is easy to factor as well as one that we cannot factor through rational numbers so will need to use the quadratic formula

New ReviewLet's go ahead and explore how to write the equation of a polynomial given an easy, a Medium and a hard example

New ReviewIn this video we are going to explore how to solve rational equations given an easy example and a more difficult example with extraneous solutions.

New ReviewThe video explains how to determine the radius of a circle from its general equation (0:00). Brian McLogan demonstrates the process of completing the square to transform the given equation into the standard form of a circle's equation...

New ReviewLearn how to compose two functions f(x) and g(x) for functions involving quadratics, rational functions and radicals

New ReviewCompleting the square can take a lot of time, so I wanted to make a video where we can complete the square quickly.

New ReviewWhen you first start learning how to simplify radicals it can be confusing remember what goes where and how to do it. In this video I want to provide you with a guide to always remember.