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# Pre-Algebra

## Start your algebra journey here with an introduction to variables and equations.

Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way.

By the end of the course, you'll be able to simplify expressions and solve equations using methods that impart deep understanding rather than just procedures. You'll sharpen your problem solving strategies and explore what's really useful about algebra in the first place.

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1. 1

### Introduction

Unify mathematics with visual and verbal thinking.

1. #### Thinking With Words and Visuals

Get a feel for algebraic thinking with these gentle puzzles.

2. #### Starting With Variables

What are variables and what can they do?

3. #### Dot Puzzles

Play with dots in boxes to get an intuition for variables.

2. 2

### Variables and Algebra Notation

Take the first steps into algebra.

1. Included with

#### Bar Models

Use geometric figures to build the ideas of algebra.

2. Included with

#### Variables and Equations

Learn how equations work and how they interact with variables.

3. Included with

#### Evaluating Expressions

Work out the meaning of expressions when numbers take the place of variables.

4. Included with

#### Order of Operations

With what sequence does an expression need to be calculated?

3. 3

### Simplifying

Math can often be made simpler, once you know the way.

1. Included with

#### Simplifying Expressions

Reduce tedious calculations by simplifying!

2. Included with

#### Simplifying with Squared Terms

Simplify when variable terms are squared.

3. Included with

#### General Simplifying

Explore numerous other simplification scenarios.

4. Included with

#### Problem Solving

Practice your simplification chops with this mixed set of problems.

4. 4

### Factoring and Distribution

Pull things apart and put things together.

1. Included with

#### Prime Numbers

Review or learn for the very first time what a prime number is.

2. Included with

#### Factorization

Find the factors of integers.

3. Included with

#### Using Common Factors

Extract factors to transform algebraic expressions.

4. Included with

#### The Distributive Property

Take factorization backwards to learn this useful algebraic technique.

5. 5

### Equations

Apply the power of the equal sign.

1. Included with

#### Circle Puzzles

Solve intuitive and fun puzzles that lead directly to algebra.

2. Included with

How do circle puzzles transform into algebraic equations?

3. Included with