Khan Academy
Foci of a Hyperbola, Conic Sections, Algebra II
Sal defines a hyperbola's vertex and foci in this video 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 approach makes...
Khan Academy
Equations of Sequence Patterns, Sequences, Series and Induction, Precalculus
This video shows an example of writing an algebraic equation for the pattern of blocks that grows at each iteration. Sal shows how to find the pattern by looking at the number of iterations and blocks. He then continues this example by...
Khan Academy
Equation of a Tangent Line, Taking Derivatives, Differential Calculus
Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem...
Khan Academy
Domain of a Function, Functions and their Graphs, Algebra II
We look at several examples of functions and see their domain. Sal writes the domain in set notion and shows how different functions can have different input values that cause the function to be undefined.
Khan Academy
What is the Domain of a Function?, Functions, Algebra I
After defining a simple function from a word problem, a short video shows how to find its domain and range. The instruction reinforces the definitions of domain and range with a concrete example.
Khan Academy
Connection Between Even and Odd Numbers and Functions, Algebra II
Are odd numbers connected to odd functions and even numbers to even functions? This video tries to clarify that connection. It also discusses functions that are neither odd nor even to help you classify them more intuitively.
Khan Academy
Identifying Circles and Parabolas from Equations, Conic Sections, Algebra II
This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal graphs a circle that is not centered at the origin and a parabola that opens downward.
Khan Academy
IIT JEE Complex Numbers (Part 1), Imaginary and Complex Numbers, Precalculus
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 shows how to divide two complex numbers but runs out of time and continues in the...
Khan Academy
Power Rule Introduction (Old) Taking derivatives, Differential Calculus
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and...
Khan Academy
Calculus: Derivatives 2
Sal continues where he left off with the last video, "Derivatives 1, Ó by looking at the equation y = x^2 and examining the slope of the second line at a specific point, and again defining the limit as x approaches zero to get the slope...
Khan Academy
The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus
By defining the formal definition of a derivative, f(x), Sal can find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.
Khan Academy
Calculus: Derivatives 2 (New HD Version)
Sal continues where he left off with the last video, "Derivatives 1, Ó by looking at the equation y = x2 and examining the slope of the second line at a specific point. He continues defining the limit as x approaches zero to get the...
Khan Academy
Calculus: Derivatives 1
Sal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...
Khan Academy
Calculus: Derivatives 1 (New HD Version)
Sal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...
Khan Academy
Calculus: Derivative of x^(x^x)
Sal starts by showing how to find dy/dx of y = x2 and then moves on to show the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x.
Khan Academy
Basic Rate Problem, Linear Equations, Algebra I
This video examines a simple rate problem. The listener must compute whether four trains traveling different distances over different amounts of time are moving at the same constant rate. This problem reinforces one's basic understanding...
Khan Academy
Area of Diagonal Generated Triangles of Rectangle are Equal, Geometry
This lecture explores the area of each triangle created by drawing two diagonal lines through a rectangle. It provides a detailed explanation of how to use a formula to solve the given problem. Tip: Use this for test preparation purposes.
Khan Academy
Percent Word Problem Example 1, Ratios, rates, and percentages
Guava is on sale in this video. Here, two examples are shown to calculate a discounted rate.
Khan Academy
Angles of Parallel Lines 2, Angles and Intersecting Lines, Geometry
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...
Khan Academy
Angles Formed Between Transversals and Parallel Lines, Geometry
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...
Khan Academy
Vi and Sal Talk About the Mysteries of Benford's Law, Logarithms, Algebra II
Challenge your students to explain why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can intuitively explain why this law fairly accurately...
Khan Academy
Newton, Leibniz, and Usain Bolt, Derivatives Introduction, AP Calculus AB
What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a specific time. He...
Khan Academy
Singapore Math: Grade 3a, Unit 1 (Part 4)
Place value is a challenging concept to grasp. In this video, the instructor links visual representations to numbers to make the concept more understandable. He uses different colors for thousands, hundreds, tens, and ones and uses a...
Khan Academy
Ferris Wheel Trig Problem
The next time you are at an amusement park you may want to consider all the interesting math problems you could do! Using trigonometric ratios, some logic and algebra, Sal solves a problem in this video of finding a person's height off...