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Videos exploring why algebra was developed and how it helps us explain our world.

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Solving one-step and multi-step equations in one variable.

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Solving and writing one-step, multi-step, and compound inequalities in one variable.

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Understanding the coordinate plane, slope, and intercept. Writing, solving, and graphing linear equations and inequalities.

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Solving a system of equations or inequalities in two variables by elimination, substitution, and graphing.

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Solving and writing algebraic ratios and proportions. Solving rational equations.

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Understanding absolute value and solving absolute value equations and inequalities.

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Solving exponential and radical expressions and equations. Using scientific notation and significant figures.

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Understanding and solving logarithms, including natural logs.

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Using polynomial expressions and factoring polynomials.

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Solving quadratics through factoring, completing the square, graphing, and the quadratic equation.

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Identifying, solving, and graphing various types of functions.

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Identifying and graphing circles, ellipses, parabolas, and hyperbolas.

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Understanding and solving equations with imaginary numbers.

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Understanding and solving matrices.

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Select problems from ck12.org's Algebra 1 FlexBook (Open Source Textbook). This is a good playlist to review if you want to make sure you have a good understanding of all of the major topics in Algebra I.

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Videos about how government works in the United States.

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The first math topic. Start here if you want to learn the basics (or just want to make sure you know these topics). After this, you should be ready for algebra. This topic includes videos from the former developmental math playlists.

 

Adding and subtracting positive and negative whole numbers. Starts with 1+1=2 and covers carrying, borrowing, and word problems.

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Multiplying and dividing positive and negative whole numbers, understanding place value, and rounding numbers.

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Understanding and using negative numbers.

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Defining and using the commutative, associative, distributive, identity, and inverse properties.

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Defining the order in which operations are done in expressions.

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Understanding and finding factors and multiples. After these videos, you'll be ready for fractions.

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Understanding fractions conceptually, using operations with fractions, and converting fractions.

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Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals.

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Understanding, solving, and converting percents.

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Solving and writing ratios and proportions without algebra.

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Understanding and solving exponents without algebra.

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Videos on how banks work and how money is created.

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Covers topics seen in a first year college or high school biology course.

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Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!

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Video series which explores how modern fields of study are based on ancient ideas. Written & Directed by Brit Cruise, Music by Cameron Murray, Illustration by Mark Phillips.

 
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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.

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Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

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Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

 

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.

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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.

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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.

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Videos on chemistry (roughly covering a first-year high school or college course).

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Example problems from random math competitions

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Introduction to programming and computer science

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Videos attempting to grasp a little bit about our Universe (many of the topics associated with "Big History")

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Videos on the causes and effects of the credit crisis/crunch.

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Videos about currency exchange

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Discussions of economic topics and how they relate to current events.

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Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.

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Videos on finance and macroeconomics

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Prepare for the Graduate Management Admission Test by going over these practice problems.

 

Sal works through the 249 math problem solving questions in the official GMAC GMAT book.

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Sal works through 155 data sufficiency problems in the GMAC GMAT Review book (so using real GMAT problems). Buy the book, then watch the videos.

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Videos on the Geithner Plan to solve the banking crisis.

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Videos on geometry. After Basic Geometry list, videos assume you know introductory algebra concepts. After these videos, you'll be ready for Trigonometry.

 

Finding perimeter, volume, and area of basic shapes without algebra.

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Understanding the purpose, notation, and building blocks of geometry.

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Identifying, measuring, and calculating angles.

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Identifying types of triangles, using principles of similarity and congruence, and applying and proving triangle postulates.

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Identifying types of quadrilaterals, finding measurements, and applying and proving postulates.

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Finding measurements and applying and proving circle theorems.

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Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of Algebra I necessary.

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Videos about medicine and the healthcare system

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The history of the world (eventually)!

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Questions from previous IIT JEEs

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Collection of interviews with and presentations by Salman Khan. Also a few other mentions of Khan Academy at other talks.

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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.

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Topics covered in a traditional college level introductory macroeconomics course

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Topics covered in a traditional college level introductory microeconomics course

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Topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed

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Videos to help understand the bailout.

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Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

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Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.

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Basic probability. Should have a reasonable grounding in basic algebra before watching.

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I am going to work through every problem in the College Board "Official SAT Study Guide." 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 review. Have fun!

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We will (eventually)do all of the lectures in the Singapore Math curriculum (which we like). You can follow along through the workbooks available at singaporemath.com

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Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course (not there yet!)

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Videos on trigonometry. Watch the "Geometry" playlist first if you have trouble understanding the topics covered here.

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Building blocks and case studies on the financial analysis and valuation of public equities.

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All of the sources of funding (capital) for a business.

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Recreational mathematics and inspirational videos by resident mathemusician Vi Hart

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