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# Introduction to Algebra

## Supercharge your thinking with the language of algebra.

Explore graphs of equations, exponents, counting problems, and more, emphasizing intuition and understanding over just finding an answer.

This course will deepen your knowledge of basic algebra and introduce you to some surprisingly useful applications of this powerful mathematical tool.

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1. 1

### Introduction

Describe the world with the language of algebra.

1. #### Writing Algebra

Use algebra to trace the relationships between multiple unknown quantities.

2. #### Calculation Shortcuts

Sometimes asking a simpler question can produce the same answer for less.

3. #### Graphical Reasoning

Graphs can reveal surprising relationships and bypass calculation.

2. 2

### Creating Points

Coordinates give us the tools to describe locations with precision.

1. Included with

#### Spotting Spiders

Use coordinates to describe the location of insidious invaders.

2. Included with

Investigate the relationship between points and the solutions of equations.

3. Included with

#### A Spider Rendezvous

Unravel a mystery with visual thinking.

3. 3

### Connect the Dots

Reason about equations to uncover their properties and patterns.

1. Included with

#### Fill it Up

Explore the connection between graphs and equations.

2. Included with

#### Concentrate on the Drink

Deploy algebraic reasoning to explain graph relationships.

3. Included with

#### Make the Mixture

Use graphs to find optimal solutions.

4. 4

### Graph Menagerie

Take a tour of the variety of shapes that equations can form.

1. Included with

#### Point by Point

Build graphs by plotting individual points.

2. Included with

#### See the Pattern

Use symmetry to simplify graphing.

3. Included with

#### Square them Both

Algebraic simplification helps with graphing.

5. 5

### Interpreting Graphs

Use graphs to solve problems that resist algebraic unpacking.

1. Included with

#### Relating Dimensions

Use algebra to optimize.

2. Included with