TOPIC

Understanding tessellations

MY PROGRESS

Pug Score

0%

Getting Started

"Let's build your foundation!"

Best Streak

0 in a row

Activity Points

+0

Overview

Practice

Watch

Read

Next Steps


Get Started

Get unlimited access to all videos, practice problems, and study tools.

Unlimited practice
Full videos

BACK TO MENU

Topic Progress

Pug Score

0%

Getting Started

"Let's build your foundation!"

Videos Watched

0/0

Best Practice

No score

Read

Not viewed


Best Streaks

0 in a row

Activity Points

+0

Chapter 11.1

Understanding Tessellations in Mathematics and Geometry

Explore the fascinating world of tessellations in math and geometry. Learn how shapes fit together to create infinite patterns, and discover their applications in art, nature, and technology.


What You'll Learn

Recognize tessellations as patterns of shapes that cover a plane without gaps or overlaps
Calculate interior angles of regular polygons using the formula 180(n-2)
Determine if a polygon tessellates by checking if 360 divides evenly by its interior angle
Identify which regular polygons tessellate: triangles, squares, and hexagons
Understand that mixed polygons can tessellate if their angles sum to 360 degrees at each vertex

What You'll Practice

1

Calculating interior angles for triangles, squares, pentagons, hexagons, and heptagons

2

Testing polygons for tessellation by dividing 360 by interior angles

3

Determining which regular polygons can tile a plane independently

4

Analyzing irregular polygons using the interior angle sum formula

Why This Matters

Tessellations appear everywhere in real lifefrom tiling floors and walls to creating art and patterns in nature like honeycombs. Understanding which shapes tessellate helps you solve practical design problems and builds your geometric reasoning skills for more advanced math.

Before You Start — Make Sure You Can:

This Unit Includes

3 Video lessons
Practice exercises
Learning resources

Skills

Tessellations
Interior Angles
Polygons
Geometry
Pattern Recognition
Angle Calculation
Regular Polygons
Pug instructor
Failed to load modal content