Back to Courses

# 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.

28

280+
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

### Graphing

See the structure of algebraic relationships.

1. Included with

#### Creating Points

Coordinates give us the tools to describe locations with precision.

2. Included with

#### Connect the Dots

Reason about equations to uncover their properties and patterns.

3. Included with

#### Graph Menagerie

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

4. Included with

#### Interpreting Graphs

Use graphs to solve problems that resist algebraic unpacking.

3. 3

### Equations and Unknowns

Sometimes x is unknown, and sometimes it's unknowable.

1. Included with

#### Combination Locks

How much information is needed to pin down the exact combination?

2. Included with

#### Equations and Variables

How does the number of variables affect what can be known about the equations?

3. Included with

Practice solving multi-equation problems.

4. Included with

#### Graphing Equations

Explore the connections between lines and the equations that generate them.

4. 4

### Algebra in Motion

Mostly, we just want to see the collisions!

1. Included with

#### Distance, Rate, and Time

Explore the algebra that describes motion and change.

2. Included with

#### Stunt Driving and Collisions

Use these dangerous motion problems to practice and strengthen your skills!

3. Included with

#### The Harmonic Average

Learn how to calculate the average of two speeds.

4. Included with

#### Boats

Speed becomes more complicated when what you're travelling in (a river) is also moving.

5. 5

### Common Misconceptions

You'd be surprised how many contest these algebraic facts.

1. Included with

#### The Basics

Identify and repair the mistakes in thinking that lead to these common errors.

2. Included with

#### Ordering and Reordering

The order in which you evaluate the parts of a calculation can have a huge impact on the outcome.

3. Included with