Khan Academy
Rounding Whole Numbers 1
Rounding is an important skill which must be used throughout the study of mathematics. This Khan Academy video is the first in a series of 3. It shows how to round the number 24,259 to the nearest hundred, using a number line.
Curated OER
Adding Polynomials
Adding two polynomials begins with simplifying when possible. Sal demonstrates the process he uses to combine like terms and explains why the process works. This video would be great for those who need a quick refresher.
Curated OER
Polynomial divided by monomial
Let's think about the ways in which a person could simplify an expression where a polynomial is divided by a monomial. Sal shares 3 different modes he could use to simplify, then uses each way to solve the same problem.
Curated OER
Dividing Monomials
Here is a quick look at how one could simplify a monomial expression involving division. Sal works a problem and briefly explains his process. Great as a concept review.
Curated OER
Scientific Notation 2
Apply the concept of scientific notation to a word problem involving the rate of speed. Sal explains how to express the answer in scientific notation.
Curated OER
Monomial Greatest Common Factor
Sal explains that the greatest common factor of any number is the largest number divisible into both monomials and not necessarily the number with greatest value. He breaks down two numbers into their prime factors as a product of its...
Curated OER
Factoring the Difference of Squares
Practice is an important learning tool. This practice problem allows students to apply their know-how to factoring a binomial with a difference of squares. Sal explains his process briefly, which makes this video appropriate for those...
Curated OER
Factoring Sum of Cubes
Here is a special form of a sum of cubes problem, where students use algebraic multiplication to rewrite each term in expanded form. Sal gives an example prior to solving the problem in order to show the process that he will use to...
Curated OER
Factoring Trinomials with a Common Factor
Use division and factoring to determine the leading 1 coefficient. This presentation thoroughly explains how to factor a trinomial in order to determine its common factors.
Curated OER
Solving Rational Equations
Continue your lecture on radical equations with this video, which features Sal solving a few more problems with his classic clarity and understandable way. Young mathematicians will benefit immensely from seeing his cool hand guide the...
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
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 From Equation, Mathematics I, High School Math
Here is a fairly basic video that uses three equations, each written in slope-intercept form, to determine whether the lines are parallel. Sal graphs each equation on the same coordinate plane to show how their slopes compare. The video...
Khan Academy
Area of a Circle, Perimeter, Area, and Volume, Geometry
This production, the second installment in a series of circles, demonstrates the process of finding the area of a circle. It is effective as an introductory tool. However, it needs to explain the reasoning behind the formula because that...
Khan Academy
Testing If a Relationship is a Function, Functions and Their Graphs, Algebra II
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...
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...
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