Algebra seems mysterious to me. I really don't "get" what an equation represents. Why do we do the same thing to both sides? This tutorial is a conceptual journey through the basics of algebra. It is made for someone just beginning their algebra adventure. But even folks who feel pretty good that they know how to manipulate equations might pick up a new intuition or two.
This tutorial is a survey of the major themes in basic algebra in five videos! From basic equations to graphing to systems, it has it all. Great for someone looking for a gentle, but broad understanding of the use of algebra. Also great for anyone unsure of which gym plan they should pick!
How can we communicate exactly where something is in two dimensions? Who was this Descartes character? Equations can be visualized with pictures? You must be kidding! In this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.
If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues. This tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.
Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like "the make-up of change in a troll's pocket" or "how can order the right amount of potato chips for a King's party." Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!
This tutorial doesn't involve talking parrots and greedy trolls, but it reviews many of the same ideas without a story and will give you a lot of exposure to the types of problems that systems of equations can solve. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!
You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of ... just kidding, its free (although the knowledge obtained in priceless). A good deal if we say so ourselves!
Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D baby (ok, we admit that it is weird for a website to call you "baby"). Tired of linear systems. Well, we might just bring a little nonlinearity into your life honey (you might want to brush up on your solving quadratics before tackling the non-linear systems). As always, try to pause the videos and do them before Sal does!
Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math.
Sal works through the problems from the CA Standards released questions. It is best first to go through the algebra topic first as it is more comprehensive.
Sal works through 80 questions taken from the California Standards Test for Algebra II. If you struggle with these you can get more help by viewing the algebra topic and completing its exercises.
Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of algebra is necessary. Go to the geometry topic for a comprehensive treatment of the subject.
Case study videos on 6 schools that use Khan Academy in their classrooms. Covers various models in public, charter, and independent schools with elementary, middle, and high school students. We're excited about the way these schools are using our resources and are eager to learn from more teachers and students. For more information, check out http://www.khanacademy.org/toolkit/pilot-schools.
Overview of the videos, exercises, reports, and Computer Science resources available on Khan Academy, with emphasis on how resources can be used in classrooms. For more information, check out http://www.khanacademy.org/toolkit/ka-resources. For a mapping of Khan Academy content to Common Core standards, check out khanacademy.org/commoncore.
Matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
Sal works through every problem in the first edition of the College Board "Official SAT Study Guide" (ISBN Number: 0-87447-718-2 published in 2004). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun! If you're using the second edition of the study guide with 10 practice tests, you can still use some of these videos. Practice tests 4-10 in the newer book correspond to tests 2-8 below.