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7th grade (U.S.)

7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.)
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Rates, proportional relationships, rates

Throughout your day you probably encounter situations where you need to compare two numbers using the same or different units of measurement. Perhaps you want to know how many math problems you can complete in an hour…or how many scoops of ice cream you get out of a gallon bucket. In this set of tutorials you will learn about rate, a special ratio in which two terms are expressed in different units of measurement, and about proportional relationships, how one variable changes in proportion to another. You will practice solving problems and then construct a few of your own.

Negative Numbers

In this group of tutorials, we'll explore the world of negative numbers. Unlike real life where we perceive anything "negative" as being bad, we'll see that negative numbers are quite useful and central to all mathematical concepts. We'll practice adding, subtracting, multiplying, and dividing negative numbers; learn about absolute value, negative exponents, and exponents with negative bases.

Fractions and decimals

I bet if you were asked to give a number, your answer would be a whole number. Don't forget about fractions and decimals--they're numbers too, only expressed differently. In this set of tutorials we'll demonstrate adding, subtracting, multiplying, and dividing fractions and decimals, as well as converting fractions to decimals and vice versa. Finally, we'll get into some word problems so you can see how often fractions and decimals play a part in our everyday life.

Variables and expressions

In this section, the rubber really hits the road (algebraically speaking, of course). For example, order of operations is the starting point for solving all equations. Learning to combine like terms is equally important. We'll also look at manipulating and interpreting expressions, understanding two step equations, and linear inequalities. Lots of great stuff in this series of tutorials.

Geometry

Why is geometry important? It's all about shapes -- triangles, circles, pyramids, spheres, diamonds, and more. Geometric shapes are all around you, and the world is built with them. In this series of tutorials and exercises you'll become familiar with Euclidean geometry and terms like segments, scale drawings, parts of a circle, area, volume, angles, and geometric figures.

Statistics and probability

We begin our exploration of statistics and probability with a basic understanding of measures of central tendency, including the mean, mode, and median. We'll then look at the importance of sample populations in statistics, in particular that are representative and random. Next up is a discussion of basic probability and the "chances" of a random event occurring. We'll wrap it up looking at different kinds of probability and how we can estimate those, especially when compound events are involved. So get your coins and start flipping. We're going to have some fun!
Variables and expressions
In this section, the rubber really hits the road (algebraically speaking, of course). For example, order of operations is the starting point for solving all equations. Learning to combine like terms is equally important. We'll also look at manipulating and interpreting expressions, understanding two step equations, and linear inequalities. Lots of great stuff in this series of tutorials.
All content in “Variables and expressions”

Order of operations

If you have the expression "3 + 4 x 5", do you add the 3 to the 4 first or multiply the 4 and 5 first? To clear up confusion here, the math world has defined which operation should get priority over others. This is super important. You won't really be able to do any involved math if you don't get this clear. But don't worry, this tutorial has your back.

Manipulating 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. Our new skills will include using order of operations, combining like terms, and using the distributive property. Great tutorial if you want to understand that expressions are just a way to express things! Common Core Standard: 7.EE.A.1

Interpreting linear expressions

Any expression (mathematical or otherwise) has meaning. Help us match the linear expression to the meaning options given. In some cases, more than one meaning may apply. Common Core Standard: 7.EE.A.2

Two-step equations

After this set of tutorials, you're going to be ready to tackle almost any two step equation that dares run across your path. But pay attention, some of the examples require putting to work multiple concepts including merging like terms, using the distributive property, and equally applying things to both sides of the equation. Common Core Standard: 7.EE.B.4

Applying linear equations

Did you think that we were playing with equations just for fun? Nope. They are actually useful for solving real problems. In this set of videos we'll work on constructing and solving linear equations from word problems. Common Core Standards: 7.EE.B.4, 7.EE.B.4a

Linear inequalities

Not everything in the world is equal, and it's true of equations, too! A linear inequality is like a linear expression, only it has an inequality sign in it. Their solutions are often graphed. In this group of tutorials we'll explain everything you need to know about solving linear inequalities, including the trick of multiplying and dividing by negative numbers to solve them. Common Core Standard: 7.EE.B.4b