Curated OER
Foci of an Ellipse
The foci of an ellipse are explored in this video. First, foci are shown as the two points on the major axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point on...
Curated OER
Foci of a Hyperbola
In this video, Sal defines the vertex and the foci of a hyperbola, and shows how to locate both. By comparing the hyperbola to an ellipse throughout the video, the listener sees the similarities between these two conic sections. This...
Curated OER
Finding the 100th Term in a Sequence
The example problem is this video has a sequence of numbers that decrease by a fixed amount with each iteration, and one needs to find the 100th number in the sequence. Sal shows the listener how to find the pattern between the number...
Curated OER
Example of Solving for a Variable
Sal uses the formula for perimeter to show how the variables can be moved around to solve a problem. He demonstrates a few different ways to do this.
Curated OER
Equations of Sequence Patterns
An example of writing an algebraic equation of the pattern of blocks that grows at each iteration is shown in this video. Sal shows how to find the pattern by looking at the iteration number and number of blocks. He then continues this...
Curated OER
Domain of a Function
We look at a number of different examples of functions and see what their domain is. Sal writes the domain in set notion and shows how different functions can have different input values that cause the function to be undefined.
Curated OER
What is the domain of a function?
After defining a simple function from a word problem, a short video shows how one could find the domain and the range of that function. The instruction reinforces the definitions of domain and range with a concrete example.
Curated OER
Connection between even and odd numbers and functions
Are odd numbers connected to odd functions and even numbers to even functions? This video tries to clarify that connection. It also talks about functions that are neither odd nor even to give a more intuitive feeling about classifying...
Curated OER
Conic Sections: Intro to Hyperbolas
In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...
Curated OER
Conic Sections: Intro to Circles
The equation of a circle is explored in this video by looking first at the equation of a circle with the center at the origin; then building upon that, equations of circles that are shifted off the origin.
Curated OER
Conic Identification 3
This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal shows graphing a circle, not centered at the origin, and a parabola that opens downward.
Curated OER
Complex Numbers (Part 1)
In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...
Curated OER
Binomial Theorem (Part 2)
Sal shows two ways to quickly calculate the coefficients of a binomial expansion. With the first method, he shows the relationship between PascalÕs triangle and the coefficients, and in the second method, he shows an even faster way for...
Curated OER
Binomial Theorem (Part 1)
In this video, the Binomial Theorem is defined and used to expand (a + b) 4.
Curated OER
Area of Diagonal Generated Triangles of Rectangle are Equal
Finding the area of each of the triangles that are created by drawing two diagonal lines through a rectangle is explored in this lecture. It provides a detailed explanation of how to use a formula to solve the given problem. Tip: Use...
Curated OER
Another Percent Word Problem
Guavas are on sale in this video. Here two examples are shown to calculate a discounted rate.
Curated OER
Angles of Parallel Lines 2
Providing an exploration of parallel lines, this resource requires students to not only practice calculations, but also to analyze angles. By asking viewers to decide whether two lines are parallel based upon the information given, this...
Curated OER
Angles Formed Between Transversals and Parallel Lines
While exploring the concept of transversals, Sal discusses corresponding angles, congruent angles, and opposite/vertical angles. He provides a thorough summation of these mathematical concepts. It is the first installment in a series...
Curated OER
Vi and Sal Talk About the Mysteries of Benford's Law
Challenge your students to come up with their own explanation of why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can give an intuitive...
Curated OER
Newton Leibniz and Usain Bolt
What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over a period of time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a...
Curated OER
Introduction to I and Imaginary numbers
Students are always fascinated by imaginary numbers. In this video, Sal defines the imaginary unit, i, and shows when raising i to an exponent it has a cyclic nature.
Curated OER
More Involved Radical Equations
Sal is not kidding when he calls this radical expression "hairy" and "more involved." Though viewers might be daunted by the amount of work necessary in solving the problem, Sal is confident and collected throughout the video. It's...
TED-Ed
How to Sequence the Human Genome
Every human is unique, from our thoughts and actions to our DNA. Scientists spent billions of dollars and over a decade to map the human genome, the sequence of DNA within one human being. Since the project was completed ten years ago,...
TED-Ed
Vampires: Folklore, Fantasy and Fact
Who would've thought that a video on vampire imagery could also be such a fantastic resource on cultural folklore, European history, and human anatomy? This video illustrates how the vampire image has evolved throughout history across...