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, and ratios

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: addition and subtraction

Add and subtract negative numbers, and see how absolute value can be used to find the distance between any two numbers on the number line.

Negative numbers: multiplication and division

Learn to multiply and divide negative numbers. Once you've got the basics down, we'll revisit fractions, exponents, and order or operations but this time with negatives!

Fractions, decimals, and percentages

In these tutorials, we'll explore the number system. We'll convert fractions to decimals, operate on numbers in different forms, meet complex fractions, and identify types of numbers. We'll also solve interesting word problems involving percentages (discounts, taxes, and tip calculations).

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

This introduction to probability and statistics explores probability models, sample spaces, compound events, random samples, and a whole lot more.

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.
Community Questions
All content in “Geometry”

Scale drawings

Now that you understand lines, you can put lines together to create drawings. A scale drawing depicts an actual object that has been reduced (or enlarged) by a certain amount. The "scale" shows the relationship between those two sizes. After this set of tutorials, you can draw your bedroom "to scale" and practice rearranging your furniture!

Area and circumference of circles

You already know about area and perimeter of lots of shapes. Now we'll round out those concepts by applying them to circles. Mathematicians call the distance around a circle its circumference and the space inside a circle its area. In this tutorial, we'll learn that there's another type of pi in the math world, and it's even more awesome than apple pie. We'll use pi to find the circumference and area of any circle in the world, no matter how big or how small! Common Core Standards: 7.G.B.4

Angles

Let's complement and supplement our knowledge of angles with some new geometry vocabulary. In this group of tutorials you'll learn about complementary, supplementary, vertical, adjacent, and straight angles. You'll quickly realize that the relationship between each of the angle types is quite logical and solving problems involving intersecting lines is a snap. Onward! Common Core Standards: 7.G.B.5

Constructing and slicing geometric shapes

In this, our last group of videos centered around 7th grade geometry concepts, let's practice constructing and deconstructing geometric shapes, but with constraints. You'll find these challenging but not too hard if you've been paying close attention.