If you're seeing this message, it means we're having trouble loading external resources for Khan Academy.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

6th grade (U.S.)

By the 6th grade, you're starting to become a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
Community Questions
Variables and expressions
All content in “Variables and expressions”

Evaluating numerical expressions

Mathematics wouldn't be so useful if, interpreted in different ways, the same expression could be viewed to represent different values. To combat this issue, the mathematical community defined "orders of operations" to remove an ambiguity there might be when evaluating an expression!

Evaluating expressions with variables

Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must. This tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions. Common Core Standards: 6.EE.A.1, 6.EE.A.2b, 6.EE.A.2c

Equivalent expressions

Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things! Common Core Standards: 6.EE.A.3, 6.EE.A.4

Solving equations and inequalities with substitution

The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). This tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them. Common Core Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7

Thinking about solving equations

Much of algebra seems obsessed with "doing the same thing to both sides". Why is this? How can we develop an intuition for which algebraic operations are valid and which ones aren't? This tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it. Common Core Standard: 6.EE.B.7

Super Yoga plans

Let's use our algebra tools to solve problems of earth-shattering importance (like which gym plan you should choose)! Common Core Standard: 6.EE.B.6

Equations for beginners

Like the "Why of algebra" and "Super Yoga plans" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x – 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar. And, by the way, in any of the "example" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better! Common Core Standard: 6.EE.B.7

Dependent and independent variables

In some relationships, one variable (the independent one) is thought to drive the behavior of the other one (the dependent one). This tutorial explores this idea further. Common Core Standards: 6.EE.C.9