# 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.)

## 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.

- Welcome to 7th grade
- Intro to adding negative numbers
- Intro to subtracting negative numbers
- Adding and subtracting integers
- Adding and subtracting with negatives on the number line
- Adding and subtracting negative fractions

## 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!

- Multiplying and dividing negative numbers
- Multiplication and division word problems with negatives
- Multiply and divide negative fractions
- Multiplying and dividing fractions 2
- Exponents with negative bases
- Dividing by zero

## 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).

- Converting fractions and decimals
- Adding and subtracting rational numbers
- Percent word problems
- Multi-step word problems

## Rates and proportional relationships

Learn all about proportional relationships. How are they connected to ratios and rates? What do their graphs look like? What types of word problems can we solve with proportions?

- Rate problems with fractions
- Identifying proportional relationships
- Graphs of proportional relationships
- Writing and solving proportions
- Equations of proportional relationships

## Expressions, equations, and inequalities

Bring on the algebra! Learn how to manipulate expressions and solve equations and inequalities.

- Combining like terms
- The distributive property and equivalent expressions
- Interpreting linear expressions
- Two-step equations intro
- Two-step equations with decimals and fractions
- Two-step equation word problems

## Geometry

Geometric shapes are all around us. 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.

- Area and circumference of circles
- Area and circumference challenge problems
- Volume problems
- Vertical, complementary, and supplementary angles
- Missing angle problems
- Constructing triangles

## Statistics and probability

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