Geometry Activities Collection

This collection of free middle school and high school geometry activities are sure to bring an element of hands-on learning and fun to your classroom!

middle school and high school geometry activities hands-on.

I highly suggest using the table of contents below to find resources for the topic you are currently teaching.

Below, you will find printable geometry posters, hands-on geometry activities, printable geometry notes, and logic puzzles that require geometric knowledge in order to solve.

I hope you find these free resources for teaching geometry to be a source of inspiration.

Geometry Basics

Geometry Vocabulary

Geometry Concentration Matching Activity

Geometry Concentration Activity

I attended a geometry teaching workshop once where the presenter had us play the game of concentration to practice various geometry terms.

I think this would make an awesome review of beginning of year geometry terminology such as point, line, plane, ray, etc.

I sadly don’t have a printable version to share, but it should be semi-easy to type up two sets of cards with pictures/symbols and terms or definitions.

Angles

Angle Mazes

Angle Mazes by Naoki Inaba

These Angle Maze Puzzles from Naoki Inaba challenge students to find a path through a maze by being able to recognize common angle measurements.

Draw a path through the maze from S to G. Each time you pass through a numbered circle, the path must form that angle in degrees.

Complementary and Supplementary Angles Notes

complementary and supplementary angles notes

These complementary and supplementary angle notes feature a memory trick for memorizing the difference between complementary and supplementary.

Missing Angle Notes

Missing Angles Notes

This set of notes on missing angles in triangles is the perfect opportunity to pull out some of my favorite school supplies: colored pens and highlighters!

Missing Angles Task

missing angles task

This missing angles task makes a great class warm-up!

Angle Matching Task

angle matching task

I found this angle matching task from a 1967 textbook to be very thought-provoking.

Reasoning and Proofs

Conditional Statements

If…Then Statements Geometry Poster Project

If Then Geometry Poster Project with drawing of hands holding up a poster

Looking for a fun way to have your geometry students practice writing conditional statements? Check out this If Then Statements Geometry Poster Project.

Proofs

Proof Matching Activities

Geometry Proofs Activity

I attended a workshop once where the geometric proofs were turned into matching activities with strips of paper for students to manipulate.

I thought this was brilliant! I don’t have a printable version of this, but it shouldn’t be too hard to take a worksheet you already have and restructure it like this.

Parallel and Perpendicular Lines

Parallel Lines Cut by a Transversal

Parallel Lines Cut by a Transversal Foldable

parallel lines cut by a transversal foldable

I used this parallel lines cut by a transversal foldable to review some crucial angle facts with my students.

Coordinate Geometry

Distance Between Two Points

Pythagorean Theorem and Distance Formula Notes

pythagorean theorem and distance formula notes in binder

This two-page set of notes has students compare two methods of finding the distance between two points on the coordinate plane: the pythagorean theorem and the distance formula.

Pythagorean Theorem Notes

visual proof of pythagorean theorem with text: "pythagorean theorem notes"

Here is a collection of notes I put together from various sources about using the pythagorean theorem when I taught this topic for the first time.

Distance Between Two Points Practice Book

Finding Distance Between Two Points Practice Book

This practice book features problems on finding the distance between two points on the coordinate plane.

Super easy for students to glue in their math notebooks!

Transformations

Coming Soon!

Triangles

Identifying and Classifying Triangles

Triangular Turkey Puzzle

triangular turkey puzzle

This triangular turkey puzzle is such a great conversation starter. How many different triangles can you find in this picture of a turkey?

This warm-up always leads to healthy disagreements and math debates!

Classifying Triangles by Angles and Sides Notes

classifying triangles notes

These notes feature separate charts for classifying triangles by angles and classifying triangles by sides.

I have students write specific notes about exactly what makes right triangles, obtuse triangles, acute triangles, scalene triangles, isosceles triangles, and equilateral triangles.

Angles Within Triangles

Illustrating the Sum of Angles in a Triangle

sum of angles in triangle interactive notebook page.

Here’s a hands-on way to illustrate to students that the sum of interior angles in a triangle is always 180 degrees.

Area of Triangles

Sankaku Area of Triangle Puzzles

sankaku area of a triangle puzzles.

Sankaku puzzles are a geometric based logic puzzle that focuses on finding the area of a triangle. The goal of each puzzle is to connect three dots to form a triangle with the specified area.

Equilateral Triangles

Equilateral Triangle Puzzle

equilateral triangle puzzle

This equilateral triangle puzzle would make a great warm-up or brain break during your unit on triangles!

Can you assemble the pieces to form an equilateral triangle where no two pieces of the same color touch – not even at a corner.

Parts of a Whole Equilateral Triangle Puzzle

parts of a whole puzzle equilateral triangle

The Parts of a Whole Puzzle gives students five shapes that must be arranged to form a triangle whose three sides are of equal length. In other words, form an equilateral triangle.

Pythagorean Theorem

Pythagorean Theorem Poster

Pythagorean Theorem Poster

This pythagorean theorem poster is meant to be printed on 11 x 17 cardstock.

Make it Pythagorean Puzzles

Make It Pythagorean Puzzles

Looking for a challenge? Check out this page of Make It Pythagorean Puzzles.

Insert the same digit (in any manner of your choosing) to each side of the triangle to form a right triangle.

Pythagorean Theorem and Distance Formula Notes

pythagorean theorem and distance formula notes in binder

This two-page set of notes has students compare two methods of finding the distance between two points on the coordinate plane: the pythagorean theorem and the distance formula.

Romeo and Juliet Pythagorean Theorem Questions

romeo and juliet pythagorean theorem questions

These pythagorean theorem questions all have a unifying theme – they involve Romeo and Juliet.

Wheel of Theodorus Art Projects

Wheel of Theodorus Student Projects on Wheel of Theodorus Bulletin Board in High School Math Classroom

These Wheel of Theodorus Projects make a great end-of-unit task for the Pythagorean Theorem.

Pythagorean Triple Posters

Pythagorean Triple Posters

I was surprised at just how frequently my students referenced these pythagorean triple posters that I created for my classroom!

Pythagorean Triples Interactive Notebook Page

pythagorean triples

I decided my students needed a Pythagorean Triples reference page in their notebooks to go along with the posters I have hanging in my classroom.  

Special Right Triangles

Special Right Triangle Posters

Special Right Triangles Posters - High School Math Classroom Decorations Geometry Trigonometry

These special right triangle posters are designed to be printed on 11 x 17 cardstock.

Special Right Triangles Discovery Activity

Special Right Triangle Discovery Activity

I created this special right triangle discovery activity to help students discover the patterns in the sides of the 30-60-90 and 45-45-90 special right triangles.

Special Right Triangles Dragon Puzzle

special right triangle dragon puzzle in interactive notebook.

I found this dragon puzzle to practice special right triangles online, and I fell in love with it.  Each of the triangles is a special right triangle.  

One Big Square Task

One Big Square Task

I love using this One Big Square Task to review 45-45-90 special right triangles.

I enjoy listening to the conversations my students had as they struggled through this problem.  And, I mean “struggle” in the best possible way!

Special Right Triangles Practice Book

special right triangles practice book

This special right triangles practice book is easy to assemble and can be glued right in your students’ math notebooks.

Right Triangle Trigonometry

SOH CAH TOA Posters

SOH CAH TOA poster on podium in high school math classroom.

I like to hang up these SOH CAH TOA posters to remind students of this mnemonic device for remembering the formulas for sine, cosine, and tangent.

Right Triangle Trig Formula Sheet

right triangle trig formula sheet in binder with graphing calculator next to binder

Get the help you or your students need remembering all of the formulas needed for right triangle trigonometry problems with this handy right triangle trig formula sheet.

Parts of a Right Triangle Poster

Parts of a Right Triangle Poster for High School Math Classroom Decorations

This parts of a right triangle poster helps emphasize the vocabulary words for adjacent, opposite, and hypotenuse before jumping into right triangle trig.

Parts of a Right Triangle Notes

Parts of a Right Triangle Interactive Notebook Page

I created this parts of a right triangle interactive notebook page to start off our unit on right triangle trigonometry.

SOH CAH TOA Foldable

soh cah toa foldable

This foldable helps students organize their notes on finding sine, cosine, and tangent.

Trig Function Posters

trig functions posters with basic trig functions and reciprocal trig functions

These trig function posters are designed to print on 11×17 cardstock.

SOH CAH TOA Notes

SOH CAH TOA Notes

These notes go over both the parts of a right triangle how to find the trigonometric functions of an angle, given a triangle.

Missing Angles of Right Triangles Practice Book

Finding Missing Angles of Right Triangles Practice Book

These practice problems introduce students to inverse trig functions and how they can be used to solve for missing angles in a right triangle.

Gettin’ Triggy Wit It Music Video

Gettin' Triggy Wit It

Do your students need help remembering their trig formulas as well as how to find missing sides of right triangles? Check out this incredibly well-made YouTube video from Westerville South High School.

Clinometer Activity and Foldable

Clinometer Activity and Foldable

Help students to see the real-world applications of trigonometry by having them build a clinometer and use it (in addition to some right triangle trig) to find the height of a tall object.

Quadrilaterals and Other Polygons

Identifying Quadrilaterals and Polygons

Polygon Art Project

polygon art project

Looking for a fun polygon art project for your geometry class to complete? Look no further than this Picasso Polygon Portrait project.

Zukei Puzzles

zukei puzzles by naoki inaba

Zukei puzzles are the brilliant creation of Naoki Inaba.  Can you connect the dots on each grid to form the specified type of quadrilateral?

Count the Quadrilaterals Puzzles

geometric background with text "count the quadrilaterals" 

I think these count the quadrilaterals puzzles from 100 Geometric Games by Pierre Berloquin could spark some great classroom conversation.

Shape Grid Puzzle

shape grid puzzle erich friedman

The goal of the shape grid puzzle is to divide the grid into various polygons and quadrilaterals.

Any lines you draw must follow either the grid lines or the diagonals of the grid squares.

Each shape that you draw must contain exactly one corresponding shape icon inside.

Angles of Polygons

Add Em Up Angles in Polygons Activity

angles in polygons activity with add em up structure in notebook with pencils surrounding the picture.

Test your geometry students’ knowledge of finding angles in polygons with this fun add em up activity.

Squares

Square the Shapes Puzzle

square the shapes puzzle

I love this Square the Shapes Puzzle because it’s got some hidden mathematics involved in solving it that may not be obvious at first glance.

Let’s Make Squares Activity

student work on let's make squares activity

This team-building activity requires students to work together to build various numbers of squares.

It’s trickier than it looks, and it’s a great community building activity.

Similarity

Similar Figures

Similar Figures Shadow Task

photograph of shadow with words: "Similar triangles shadow task"

This shadow task involves similar triangles. I found the answer to be very unexpected!

Circles

Circumference

Hands-On Circumference Activity

hands-on circumference activity

This lesson uses yarn to give your students a hands-on experience with circumference.

Constructions

Hands-On Archaeology Geometry Activity

Hands-On Geometry Activity Archaeology

I attended a math teaching workshop where we did a hands-on activity that involved taking a chunk of a plate that we had excavated and performing geometric constructions on it to determine the original plate’s size.

Very interesting and hands-on!

Perimeter, Area, and Volume

Area

Area vs Perimeter Posters

Area and Perimeter Posters - High School Math Classroom Decorations

Illustrate the difference between area and perimeter with these free printable posters.

Shikaku Area Puzzles

Shikaku Puzzles

Shikaku Puzzles are a geometric-based logic puzzle from Japan that make a great warm-up when studying area.

The goal of a shikaku puzzle is to subdivide the grid into rectangles (and squares) so that the number in each rectangle refers to the area of that rectangle.

Area Maze Puzzles

area maze puzzles by naoki inaba

Area Maze Puzzles from prolific Japanese puzzle creator Naoki Inaba have become quite popular in the United States.

Use your knowledge of area to find the missing information in each diagram.

Sankaku Area of Triangle Puzzles

sankaku area of a triangle puzzles.

Sankaku puzzles are a geometric based logic puzzle that focuses on finding the area of a triangle. The goal of each puzzle is to connect three dots to form a triangle with the specified area.

Area of Tangram Pieces Task

geometry of tangrams

When I was completing my masters in curriculum and instruction, I was introduced to this excellent task that involves finding the area of various tangram pieces.

Perimeter

Area vs Perimeter Posters

Area and Perimeter Posters - High School Math Classroom Decorations

Illustrate the difference between area and perimeter with these free printable posters.

Perimeter Puzzles

In this collection of perimeter puzzles, your challenge is to break the square grid into sections of various perimeters that match the numbers in the grid.

3D Shapes

Vocabulary of 3D Shapes

Build It Activity

students participating in build it activity with linking or snap cubes in high school math classroom 

Build It is a cooperative, team building activity that encourages students to work together, communicate, and think logically as they construct a geometric object to satisfy a set of given clues.

If you’re looking to work on vocabulary, this activity introduces/reinforces words such as “face” and “edge.”

Illustrating 3D Figures

3D Perspective Drawing

3d perspective drawing lesson.

Shaun Carter shares a lesson on 3D perspective drawing.

Icosahedrons

Stellated Icosahedron Straw Art

stellated icosahedron straw art sitting in row on floor of classroom.

If you have clear straws and curling ribbon, you can build these stellated icosahedrons. A fun end of year project!

Or, be like me and just make a set to hang from the ceiling in your classroom as a math-y decoration.

Miscellaneous Geometry Resources

Geometry Jokes and Puns

Geometry Jokes.

Bring some humor to your classroom with this collection of the best geometry jokes and puns. These jokes are sure to add a spark of fun to your geometry lesson and give your students a good laugh (or at least a groan at your cheesy math jokes.)

Geometry Word Search Puzzle

geometry word search puzzle free printable pdf. high school.

Here’s a fun math themed word search to enjoy that features vocabulary from high school geometry class.

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