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Visual Algebra

Build patterns and sequences to start seeing algebra in a new light.

66 Lessons596 Exercises

Building Patterns

Pattern Rules

Linear Patterns

Growing Patterns

Describing Patterns

Building Expressions

Constant Terms

Linear Expressions

More Linear Expressions

Describing Linear Patterns

Building Linear Expressions

Linear Pattern Gallery

Two-Shape Patterns

Combining Expressions

Comparing Expressions

Removing a Shape

Combining Linear Expressions

Comparing Linear Expressions

Comparing Constants

Using a Table

Comparing Rates

Comparing More Rates

Comparing Expressions

Quadratic Patterns

Quadratics with a Constant

Quadratics with a Linear Term

Patterns with a Punch

Rectangle Patterns

Using Rectangle Area

A Complicated Area

Equivalent Expressions

Shifting the Steps

Taking a Bite

The Frame

The Monster Jaw

A Different Kind of Growth

Quadratic Growth

A Triangular Pattern

Describing Quadratic Growth

Linear or Quadratic

Comparing Kinds of Growth

Quadratic Versus Linear

Exponential Patterns

Growth Factors

Building Exponential Patterns

Building Linear Patterns

ID'ing the Type of Pattern

Building Exponential Expressions

To the Zero Power

Writing Exponential Expressions

Periodic Patterns

Extending Periodic Patterns

Periodic Pattern Remainders

Expressing Remainders

Period of Two

A Different Period

Periodic Pattern Gallery

Periodic Pattern Gallery 2

Alternating Patterns

Even and Odd Steps

Adding Two Shapes

Describing Linear Patterns

Describing Quadratic Patterns

Describing Exponential Patterns

Two Ways to See

Other Ways to See

Up next

Probability and Chance

Use probability to make better decisions.

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Course description

Start building visual patterns and discover formulas that govern them. Use these visualizations to compare sequences that show different growth, from linear to quadratic, exponential, and beyond. Define patterns and sequences recursively, and explore the fascinating shapes that emerge from the simplest recursive processes. And most importantly, see algebra like you've never seen it before!


Prerequisites

  • Solving Equations