Curated OER
Average or Central Tendency: Finding Mean, Median And Mode
A good explanation for blossoming mathematicians, this video explains the difference between average and central tendency, as well as arithmetic mean, median, and mode. Those who haven't grasped these concepts in algebra or those who are...
Curated OER
Multiplying And Dividing Rational Expressions
Provide your algebra class with some review of rational expressions in this video. Sal uses several sample problems to show viewers the process, and his explanations are clear and easy to understand.
Curated OER
Percent Problems
Converting percents to decimals, and the other way around, can be tricky. Sal shows young mathematicians how to simplify this process with two sample equations and one word problem.
Khan Academy
Recognizing Linear Relationships
Starting with a set of values for the x and y variables, this video shows how to tell whether these points determine a linear or non-linear function. Sal first defines linear functions in terms of the change in y over the change in x,...
Khan Academy
Solving Equations with the Distributive Property
Here is an equation in which the first step is to use the distributive property to get rid of the parenthesis. Then it is solved for the variables. Since there are variables on both sides of the equation, it is important to verify the...
Khan Academy
Solving for a Variable 2
The instructor uses the formula for temperature to show how the variables can be moved around to solve a problem.
Curated OER
Testing if a Relationship is a Function
This short video looks at different points on a coordinate plane and answers a question about whether these points could represent a function. The answer is determined by looking at each point individually to determine whether given a...
Curated OER
Area of a Circle
A second installment in a series on circles, this production demonstrates the process of finding the area of a circle. As an introductory tool, it is effective. However, it does not explain the reasoning behind the formula because that...
Curated OER
Binomial Theorem (Part 3)
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...
Curated OER
Compound Interest and e (Part 2)
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...
Curated OER
Conic Sections: Hyperbolas 2
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...
Curated OER
Conic Sections: Hyperbolas 3
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...
Khan Academy
Parallel Lines
Here is fairly basic video that takes three equations, each written in slope-intercept form, with the goal of determining whether the lines are parallel. Sal graphs each of the equations on the same coordinate plane to show how their...
California Academy of Science
Desalination
Desalination requires around two gallons of sea water to make one gallon of fresh water—that's quite a ratio! Viewers consider the pros and cons of desalination as one option to providing fresh water. They learn about two different...
California Academy of Science
How Do We Meet the Growing Need for Water?
Some aquifers took thousands of years to collect water, yet they have been depleted in only a hundred years. Viewers learn about where humans use water and the serious concerns for the future of the water supply in the second of 10...
Curated OER
Bonds Vs. Stocks
What's the difference between stocks and bonds? Sal illustrates this concept through explaining the two ways a company can raise capital: debt or equity. Drawing out a balance sheet, he categorizes stocks as equity and bonds as debt,...
Curated OER
Chapter 11: Bankruptcy Restructuring
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...
Curated OER
Equity vs. Debt
Examine the two ways a company can raise capital: equity and debt. Sal breaks down the differences between these and the pros and cons of the investors. He explains the implications of having a publically traded company and draws a stock...
Curated OER
Going Back to the Till: Series B
Help young economists understand the concept of a company's increasing value despite a lack of profit. They explore Sal's case study startup company, which needs to raise more money after going through the original angel investment. For...
Curated OER
Housing Conundrum (Part 4)
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...
Curated OER
Housing Price Conundrum (Part 2)
This second of four videos starts with a short history of the housing market and the conditions that allowed some people to buy, when others could rent. These starting points are a great topic for students to discuss further before...
Curated OER
Housing Price Conundrum (Part 3)
Wondering why home financing relaxed in the years following Y2K? In the third of a four-part series, Sal describes the investment phenomenon between 2000 and 2006 that allowed more people to bid on homes and increased demand...
Curated OER
Inflation, Deflation & Capacity Utilization 2
Sal justifies that the determining factor of inflation and deflation is not the money supply as much as much as it is demand and the raised capacity utilization.
Curated OER
Inflation, Deflation & Capacity Utilization
High utilization of capacity leads to a raise in prices. Salman Khan discusses competition and its effect on inflation.
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