Curated OER
Complex Numbers (Part 2)
This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...
Curated OER
Complex Numbers (Part 2)
This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...
Curated OER
Complex Determinant Example
Sal solves a complex determinant problem from the 2010 IIT entrance test. Knowledge of determinants, the exponential form of complex numbers, trigonometric ratios, and algebraic thinking are all utilized here.
Welch Labs
Imaginary Numbers Are Real (Part 5: Numbers are Two Dimensional)
If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real numbers —...
Welch Labs
Imaginary Numbers Are Real (Part 9: Closure)
The last video in a series about imaginary numbers demonstrates the need for complex numbers. Math pupils learn that they need to include the square root of negative one, the building block of the complex numbers, to have a set of...
Welch Labs
Imaginary Numbers Are Real (Part 1: Introduction)
What are imaginary numbers? An introductory video provides an explanation as to why we need imaginary numbers to solve equations, and makes the connection between the need for zero, negative numbers, and rational numbers throughout history.
Krista King Math
Complex Fractions, Ratio and Proportion
Show the class two methods to solve proportions of fractions. The instructor shows that complex proportions can be solved by the normal method of cross-multiplying. It also shows another method where the complex fractions are simplified...
TED-Ed
A Brief History of Numerical Systems
As people and civilizations have become more complex, numbers have evolved into what they are today. Watch a video that walks viewers through the history of the development of symbols into numbers and positional notations.
Crash Course
Redox Reactions
The breakdown of your breakfast and plants photosynthesizing all relate to the simple movement of electrons. Learn about the complex manner of redox reactions, where electrons move from one compound to another, changing and propelling...
Educator.com
Areas Between Curves
There are times that it is necessary to add areas to find the area between the curves. The video for AP Calculus presents how to find the area between curves by subtracting the area under the lower curve from the area under the upper...
Curated OER
Equations And Inequalities
A number of problems involving inequalities and defining the variables are a piece of cake to Sal, and they will be to your Algebra pupils as well after they watch this video. Sal's careful explanation and clear annotations are key to...
Crash Course
Simple Animals: Sponges, Jellies, and Octopuses
A video focusing on the evolutionary history of simple animals reveals some amazing facts. Did you know that some deep-water sponges can live to be more than 200 years old? The narrator of the film explains what simple animals means,...
TED-Ed
Would You Sacrifice One Person to Save Five?
An ethical dilemma is, by definition, a complex situation that involves conflicting moral choices. The dilemma of this short video asks viewers whether they would sacrifice one life to save five.
Be Smart
What’s Really Warming the Earth?
More carbon dioxide exists in the atmosphere than ever in human history. An informative video introduces the topic of global warming as part of a larger playlist. It looks at possible causes such as Earth's orbit, Earth's moving axis,...
Curated OER
Level 1 Exponents
Both positive and negative numbers play a part in this video. Here, Sal explains the definition and function of exponents. Especially helpful for those with the tendency to multiply an integer by its exponent, this video offers several...
Khan Academy
Government's Financial Condition
What goes into accounting the United States budget deficits and its net operating costs? How do shifts in the economy affect government spending? How is increasing interest projected to affect our federal debt in the future? This video...
SciShow
Strong Interaction: The Four Fundamental Forces of Physics #1a
The strong force holds quarks together to form hadron particles, which include baryons and mesons. Common baryons, such as protons and neutrons, are the focus of a video that shows how they use the strong force. Then it explains the...
Crash Course
Reconstruction and 1876
How did the United States face the problem of needing to integrate a formerly slave and rebellious population back into the country? Your young historians will learn about the complex system of reconstruction that existed in post-Civil...