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
Ratios, rates, and percentages
All content in “Ratios, rates, and percentages”

Describing ratios

Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls to boys? What is the ratio of eggs to butter in your favorite dessert? Ratios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them! Common Core Standards: 6.RP.A.1, 6.RP.A.2

Rates

How fast can a robot possum fly? What is the rate at which a hungry person can consume avocados? This tutorial helps you make sense of these fundamental questions in life. Common Core Standard: 6.RP.A.3b

Percentages

At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise. As you'll see "percent" literally means "per cent" or "per hundred". It's a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we're 100% sure you'll find this useful. Common Core Standard: 6.RP.A.3c

Percent word problems

I paid $5.00 for some tanning lotion (ok, I've never really bought tanning lotion) after a 35% discount. How can we find the full price? You know how to take a percentage. In this tutorial, we use our newfound powers to solve equations to tackle fascinating percentage problems.

Unit conversion

Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the "mile")! How do I operate? This tutorial is about the fundamental skill of unit conversion. Common Core Standard: 6.RP.A.3d