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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!
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.
All content in “Fractions and decimals”

Adding and subtracting fractions

You know how to add and subtract whole numbers like 7 and 42, but fractions are numbers too. And just like whole numbers, you can add and subtract them. This tutorial will show you how! Common Core Standards: 7.NS.A.1

Multiplying and dividing fractions

What is 2/3 of 2/3? If 4/7 of the class are boys, how many boys are there? Did you also know that fractions can represent division (and the other way around). We can create fractions by dividing whole numbers and then even divide the fractions themselves. We'll see that dividing by something is the exact same thing as multiplying by that thing's reciprocal! Multiplying and dividing fractions is not only useful, but fun as well. Common Core Standards: 7.NS.A.2a, 7.NS.A.2b

Converting fractions and decimals

If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two. We'll guide you through two very important skills: converting fractions to decimals and converting decimals to fractions. Through a bunch of examples and practice, you'll be able operate in both worlds. Have fun! Common Core Standards: 7.NS.A.2d

Adding and subtracting rational numbers

We're going to mix it up a little in this set of examples. Remember that a rational number is a real number that can be written as a simple fraction, or by extension a decimal or percentage. We have to be able to add and subtract numbers when they are in different formats, whether fraction, decimal or percentage. This gets to be fun as learn to move between these expressions of rational numbers, and start to understand they're all pointing to same thing! Common Core Standards: 7.NS.A.1d

Working with rational numbers

You know that fractions, decimals and percentages are all ways to represent rational numbers. In this tutorial, you'll take things to the next level by using these representations together to solve problems. Common Core Standards 7.NS.A.3

Percent word problems

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. Common Core Standards: 7.EE.B.3

Multi-step word problems

You already have many tools in your mathematical toolkit: addition, subtraction, multiplication, and division of decimals and fractions, as well as your understanding of units of measure. Now we'll put them all to work in solving some multi-step word problems. Common Core Standards: 7.EE.B.3