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.)
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# Ratios, rates, and percentages

A common application of numbers in real life (what is REAL life anyway, huh?) is through ratios, rates, and percentages. Whether following a recipe, changing the oil in a car, or determining the percentage earned on a test...these are skills you will use over and over. Ratios are simply another way to express fractions. Rates combine units of measurements to help us understand their relationship better. Percentages, like ratios, give us another way to express fractions and decimals. We'll explain each to you and then practice until you've mastered each concept.
All content in “Ratios, rates, and percentages”

## 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 are, how they can be expressed, and how to make good use of them. Common Core Standards: 6.RP.A.1, 6.RP.A.2

## Ratio word problems

Ratios are everywhere and we'll encounter them often in real life. These tutorial videos and example exercises will fine tune your understanding of ratios, including interpreting them from tables and plotting them to graphs. Common Core Standards: 6.RP.A.3, 6.RP.A.3a

## Rates

We're beginning to see that skills build on top of each other to help us reach further and develop even more skills. In this case, our knowledge of fractions now helps us to solve unit rate problems like these. 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. 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 that your ability to move smoothly and effortlessly between decimals, percents, and fractions will win you many friends in math class. Common Core Standard: 6.RP.A.3c

## Percent word problems

You paid \$5.00 for some tanning lotion (do people still buy tanning lotion?) after a 35% discount. You want to know the full price so you can pat yourself on the back for how good of a deal you got. In this tutorial, we'll practice organizing the given information and constructing basic algebraic equations to tackle fascinating, and real-life, percentage problems. These are fun and we'll explain every step along the way!

## Unit conversion

Math is fun and math is useful, Sometimes it's fun AND useful! Learning how to convert units of measure is one of those skills that once mastered, you'll enjoy teaching your friends. We'll deal with inches, feet, yards, miles, ounces, pounds, cups, pints, quarts, gallons, and more! Common Core Standard: 6.RP.A.3d