Lesson Plan7:31
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Inside OKCupid: The Math of Online Dating

9th - 12th Standards
Capture the hearts of your young statisticians with this real-life example of using statistics in online dating. The use of average and geometric mean are discussed in the context of creating the algorithm used to connect people.
Instructional Video6:58
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Example of Solving for a Variable

7th - 11th
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.
Instructional Video9:59
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Domain of a Function

8th - 12th
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.
Instructional Video4:08
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Connection between even and odd numbers and functions

9th - 12th
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...
Instructional Video13:34
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Conic Sections: Intro to Hyperbolas

10th - 12th
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...
Instructional Video9:04
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Conic Sections: Intro to Circles

10th - 12th
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.
Instructional Video11:34
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Conic Identification 3

10th - 12th
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.
Instructional Video7:21
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Complex Numbers (Part 1)

9th - 11th
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...
Instructional Video14:20
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Binomial Theorem (Part 2)

10th - 12th
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...
Instructional Video12:38
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Binomial Theorem (Part 1)

10th - 12th
In this video, the Binomial Theorem is defined and used to expand (a + b) 4.
Instructional Video4:36
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Area of Diagonal Generated Triangles of Rectangle are Equal

9th - 10th
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...
Instructional Video5:15
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Angles of Parallel Lines 2

9th - 10th
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...
Instructional Video7:53
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Angles Formed Between Transversals and Parallel Lines

9th - 10th
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...
Instructional Video8:05
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Vi and Sal Talk About the Mysteries of Benford's Law

10th - 12th
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...
Instructional Video9:07
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Newton Leibniz and Usain Bolt

10th - 12th
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...
Instructional Video5:20
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Introduction to I and Imaginary numbers

9th - 11th
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.
Instructional Video11:53
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More Involved Radical Equations

8th - 11th
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...
Instructional Video9:08
Khan Academy

SAT Prep: Test 2 Section 9 Part 1

9th - 12th
Sal works up an appetite for his Thanksgiving turkey in this video, which takes students through the first five problems of a new set of SAT practice questions from The Official SAT Study Guide. Problems involve algebraic word problems,...
Instructional Video9:05
Khan Academy

SAT Prep: Test 8 Section 2 Part 1

9th - 12th
Test eight from The Official SAT Study Guide includes eighteen problems, the first four of which are featured in this video. Basic algebraic expressions, linear equations, tangent circles, and coordinates on a plane test algebra and...
Instructional Video9:06
Khan Academy

SAT Prep: Test 6 Section 3 Part 5

9th - 12th
Some students enjoy math problems as "brain teasers," while other students are just trying to get through them. Sal addresses both learners in this video, which shows different ways to approach and solve problems on the practice SAT.
Instructional Video3:55
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Average or Central Tendency: Finding Mean, Median And Mode

7th - 11th
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...
Instructional Video9:02
Khan Academy

SAT Prep: Test 7 Section 8 Part 1

9th - 12th
A new set of SAT practice questions from the Official SAT Study Guide (page 803) greets Sal and the viewer. Problems 1-7 involve basic algebraic equations, linear equations, and geometric figures.
Instructional Video9:01
Khan Academy

SAT Prep: Test 4 Section 8 Part 1

9th - 12th
Beginning with problems 1-7, Sal works on the next section of the practice SAT from The Official SAT Study Guide (page 611). The problems include simple algebraic equations, square roots, word problems, and graphing.
Instructional Video9:01
Khan Academy

SAT Prep: Test 1 Section 6 Part 3

9th - 12th
Sal is having a blast in this video, and his fun-loving attitude will rub off on even your most stressed-out test-takers. Problems 7-10 in the practice SAT require skills in linear equations, as well as approximation and basic algebra.