geometry art assignment

Babble Dabble Do

A Beautiful Geometric Art Project Featuring Symmetry

September 14, 2020 by Ana Dziengel 1 Comment

Today’s geometric art project is a keeper, as in these are so pretty you will want to display them when you are done! In this colorful math art project we will use symmetry and axes to create lovely paper tiles!

This post contains affiliate links.

I am a pattern loving creator. I’ve never been very good at figurative art but let me loose with geometric shapes and I can’t stop drawing! For today’s project I created a template with a simple stencil you can cut out and use to decorate a paper tile, much like the decorative tiles you see in Spanish and Islamic architecture. I recommend that you print this on cardstock if possible, it will make for a sturdier stencil, but paper works in a pinch.

Paper Tiles Materials

This project was created for HP’s Print & Learn Initiative in Summer 2020. You will be directed to HP’s website for the template download.

• Paper or Cardstock
• Markers These are my favorite!

Paper Tiles Instructions

Time needed:  15 minutes.

Make artful tiles out of paper

Cut out stencil and ruler along thick solid lines.

Fold stencil along dashed line A. Cut out shapes along solid lines. Unfold. Repeat Step 2 with lines B-E.

Using the stencil, trace shapes on the tile on each side of an axis.

Color and layer shapes.

Make the shapes and design pop by outlying them in black using a pen. Use the paper ruler to add lines and details.

Cut out tile. Make additional tiles and display together.

• This template works best if printed on card stock.
• Each dotted line on the tile is an axis. 
• Design your pattern so that the shapes are symmetrical on either side of each axis.
• Overlap shapes to create complex designs and patterns.

Let’s Talk STEAM

Geometric Art is a form of art that uses geometric shapes and lines to create compositions. In the 20th century it has been referred to as geometric abstraction . Artists who are known for creating geometric art often overlaps shapes, lines, and color to create art that is modern, minimal, and sometimes playful. You can see some examples of geometric art and learn more about individual art movements that utilized it here .

Decorative tiles are a primary feature in Islamic and Spanish architecture. In Islamic art figurative images are not used, so artists make use of complex, overlapping geometric patterning in the tiles and other objects used in architecture and design. Persian and Turkish rugs usesintricate patterning. You can read more about Islamic geometric patterning and see examples here and here .

Spain was under North African Islamic rule for 800 years and the decorative traditions of using patterned tiles are prevalent throughout its architecture as well. Spanish geometric tile designs are typically less complex than the decorative tile work of Islamic art. You can see some examples here .

An axis is a straight line around which geometric figures rotate. Each dotted line on the tile template is an axis. The axes that run horizontally and vertically are orthogonal. The axes that run from corner to corner are diagonal .

Symmetry is the agreement of the position of an object or pattern on either side of an axis. Design your pattern so that the shapes are symmetrical on either side of each axis.

If you enjoyed this geometric art project here are two more to try: Infinity Tiles and String Art Stars

Christine Towgood says

September 14, 2020 at 11:38 am

Thank you for this great idea and template. I can’t imagine what you are enduring with the wild fires at the moment, I can only hope that things improve soon.

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Math Engaged

Building a Mathematical Mindset through Engagement and Creative Play in Mathematics

Tessellations

Making tessellations is an easy, creative, and fun way to explore patterns and geometry for all ages!

Tessellations are a famous form of mathematical art! Making tessellations is approachable by students of all math levels, and with its simple list of required materials, this is a great project that can be done at home or anywhere you need an enriching project. And with a variety of tessellation styles, students can keep exploring new ways to create interesting patterns while also developing spatial reasoning skills!

• Markers, Crayons

Project Background

Definition: Before diving into making tessellations, let's ask: What is a tessellation?

A tessellation is the tiling of a plane using one or more geometric shapes such that there are no overlaps or gaps. In other words, a tessellation is a never-ending pattern on a flat 2-D surface (such as a piece of paper) where all of the shapes fit together perfectly like puzzle pieces, and the pattern can go on forever.

Examples of Tessellations:

Not Examples of Tessellations:

Now that we know what a tessellation is, how do we make one? We have four different ways to create your own tessellations!

Getting Started: Beginner Tessellation

1. Start with a piece of paper and a pencil. We recommend starting with half of a regular 8.5" x 11" white sheet of paper.

2. Divide the paper up into equal width rows (or columns); about 3-4 rows for a small sheet will work very well.

3. In one row, draw a simple shape that spans the entire height of the row (see image above), such as a square, triangle, a lopsided rectangle (parallelogram), or other shape of your choice. Draw that shape again immediately next to your first shape. Do they fit together perfectly? What if you draw a third shape immediately next to the second shape? Do they still fit together perfectly?

4. If your shapes are fitting together perfectly, keep drawing them in each row until your entire sheet is filled up.

5. Color in your tessellation and display!

Step it up: Ready for a harder challenge? Skip Step 2 and just try drawing a shape on a piece of paper. Now try drawing that shape again immediately next to the first shape. Do they fit together? Try creating more complex shapes, like fish, flowers, or even dinosaurs!

1-Step Cutting Tessellation

0. Start with five squares of paper that are the same size.

1. Take one square piece of paper and cut a weird shape out of one side  of the square. (So if you start cutting from the bottom side of the square, make sure your scissors finish cutting on the bottom side of the square!)

2. Line your oddly-shaped cut-out on top of a second square of paper, lining up the long edges. Trace your cut-out onto the square with your pencil.

3. Repeat for each of the remaining three squares. Ensure that your oddly-shaped cut-out is facing the same way every time you trace it. 

You should now have four squares of paper, each with your shape traced out in the same way.

4. Take one of your squares and cut out your tracing. 

5. Rotate the square by 90˚(one corner in either direction) so that you have a fresh, flat, un-cut edge of the square facing you. Tape your cut-out shape to that side of the square, lining up the long flat edges.

6. Repeat Step 4 and Step 5 for each of your remaining squares. Very important -be sure to maintain the same orientation of your cut-out shape every time you tape it!

7. Fit all of your new tessellation pieces together to create a beautiful, puzzle-like work of art!

2-Step Cutting Tessellation

1. Take a small square piece of paper (about 4"x4") and cut a weird shape out of one side  of the square, just as before.

2. Tape your cut-out shape to the opposite side of the square, maintaining its orientation and lining up the long flat edges.

3. Pick one of the two remaining untouched sides of the square and cut another odd shape out of that side.

4. Repeat Step 2: Tape your new odd shape to the opposite side, maintaining orientation and lining up the long edges. You should now have a unique shape that no longer has any flat long sides. 

5. Trace your tessellation shape onto a piece of paper over and over again, fitting the shapes together. 

6. Use crayons, markers, glitter, or any extras you wish to make your tessellation art extra incredible!

"PART" to "TRAP" Tessellation

Ready for a more complex challenge in creating amazing tessellations? The "PART" to "TRAP method is a great way to create a unique shape that you can trace over and over again on paper for an intricate tessellation design!

1. Take a square piece of paper and write the letters 'P', 'A', 'R', and 'T' in each corner.

2. Take a pencil and draw a funky line horizontally across the paper, separating the 'P' 'A' side from the 'R' 'T' side.

3. Draw another funky line vertically down the paper, separating the two sections into a total of four sections.

4. Cut along your lines, yielding four separate shapes, each with a single letter.

5. Re-arrange the shapes such that the letters meet in the middle and they spell the word "TRAP".

6. Tape the four pieces together to create a single tile.

7. Trace your tessellation creation onto a sheet of paper. Once your shape is traced, slide your tessellation to the immediate left, right, top, or bottom of your tracing, and trace again. Repeat until the entire sheet is filled up with your amazing tessellation creation!

Our brains better retain information when we engage both our hands and minds in the activity. Now that we've explained how to engage the hand, what are some discussion questions to engage the mind during the activity?

1. What is another example of a drawing that is not a tessellation?

2. Where do we see tessellations in the world around us?

3. What are some examples of  regular polygons (2-D shapes with all sides that are the same length and all angles equal to each other) that fit together to make tessellations? Do all polygons fit together perfectly?

Supporting Resources

You can learn more about tessellations by just starting with these three great links. Be sure to explore tessellations first through the project guidelines above, and use these great resources to supplement what you've already discovered on your own!:

Tessellations at  MathIsFun.com.

Tessellations at  CoolMath.com.

Tessellations at  MathForum.org.

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Questions and comments?  Please share those too ! Your comments can help us make these activities even better for families everywhere. 

Tessellation Project

Introducing the Tessellation Project

This is important. Before you start teaching them how to create tessellations you must teach them the history behind them. This is crucial because it teaches that students just how long of a history these actually have and how they are incorporated in everyday life. They see tessellations everyday and don't even know it.

Before you go any further you will want to introduce tessellations to them using our post on the History of Tessellations .

That Lesson Can Be Found Here:

Teaching the History of Tessellations

Once you complete this introduction with them go ahead on to the lesson below. Have Fun! They will 🙂

Here is how I run the Tessellation Project...

Paper size options, part - trap method.

SLIDE Method 

1.) Tessellation Project Art Competition

2.) transformation project contest rules, 3.) what is your tessellation.

Here are some of the famous tessellations that your collaborating art teacher will be showing them.

Geometry Teacher Community

If you would like to save time planning and get access to more great lessons like these join our Geometry Teacher Community ! You will never have to spend another day writing lesson plans, researching material, creating worksheets, tests, quizzes, or anything else. You will have bell to bell instruction just a click away! The best part about the community is that everything is fully editable so if you covered things in a different order or want to remove something all you have to do is delete it from the document or move it around. The community is also just that, a community with a forum where geometry teachers can share ideas, materials, and their own awesome lessons! Try out some of our materials below!

Get Access to All of Our Lessons Here!

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Polygon Art Project

By: Author Sarah Carter

Posted on Published: June 18, 2016  - Last updated: June 2, 2023

Categories Geometry , Arts and Crafts

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

I learned about this geometry project while attending a session titled “Taking the Practice Out of the Worksheet” by Judy Schwarz of Moore Public Schools at the Oklahoma Council of Teachers of Mathematics Summer Conference.

Students are given a set of requirements of what must be in their self-portrait.  Students MUST use a ruler when completing the project.

Here’s what a finished portrait looks like:

Students peer grade each other’s projects using a rubric.

I really liked Judy’s explanation of how she has her students peer grade each other’s projects.  She takes up all of the projects, shuffles them, and hands them back to students to grade.  

She makes sure that best friends aren’t grading each other’s work.  Students use a copy of the rubric to grade another student’s project.  When students are done grading, they take the original project and the rubric and deliver it to the student it belongs to.  

Each student looks at the rubric and decides if they agree with the grade they have been given.  If a student disagrees with the way they have been graded, they take a colored sheet of paper and staple it to the top of the project with why they disagree with the grade the other student gave them.  

When the teacher is entering grades, he/she just need to double check the projects that have colored sheets of paper on top.

More Geometry Teaching Resources

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21 Math Art Projects for Kids

Math art projects are a unique way to combine right and left brain learning. Both my boys enjoy math, but they often balk when I suggest, "let's do an art project!" My solution has been to make math learning creative  with math art projects and activities.

This is a collection of our our favorite math art projects and the best thing about them is that they will get math kids thinking about art and art kids thinking about math!

Tessellations

We've done this several times, and somehow it never gets boring.

• See our how to make tessellations post .
• Three ways to make heart tessellations .
• Easy cat tessellations
• Star tessellations - great for holiday art

Explore Symmetry

• This is great for younger kids. You're probably familiar with the ol' fold the paper in half and smoosh trick. You can  make symmetry art free style, like we did .
• Create gorgeous math art with parabolic curves . My son designed his own eyeball!!
• Create  gorgeous objects like these butterflies from Buggy and Buddy.
• These symmetry art aliens make me smile.

Turn number sequences into art

• We did this when we turned pi into a cityscape
• Spirolaterals will help your kids practice their multiplication tables.
• Create  Fibonacci art with circles.
• This Fibonacci valentine from Math Four could be adapted for any time of the year.

Use math tools to create art

This is one of my favorite ideas. In addition to the following ideas, find time to allow your kids to explore using the math tools in their own way.

• It can be really simple, like simply giving your kids a ruler, compass and protractor and see what they come up with. If using a compass is tricky, see my tip for drawing mandalas with a compass .
• I love this protractor art project that evokes Frank Stella's artwork .
• Use a ruler  to create sunburst paintings , like these at Art Bar.

Explore math art with shapes

Use shapes to make art, either by putting pen to paper or through the manipulations of objects.

• The boys love to play around with our homemade Montessori triangles . They don't even think about the fact that they are creating artistic designs!
• Explore  Möbius strips , or make Möbius hearts
• Make your own peek-a-boo shape book - free printable template.
• Paint a  Mondrian window .
• Build a fractal Christmas tree
• Explore triangle math with a heart geometry puzzle
• E is for Explore has a few ways kids can use  Kandinsky inspired art to think about about circles and relative size .
• Use a geoboard. Crayon Box Chronicles has  instructions so you can make your own .

What do your kids prefer, math or art? Do you ever do math art projects with the kids? 

Need more ideas?

• 25 Playful and Creative Math Ideas
• Math art activity and picture books

Reader Interactions

Jodie @ Growing Book by Book says

May 13, 2014 at 5:40 pm

Love these ideas. Actually, I love incorporating art with all subject areas. 🙂

Bon Crowder (@mathfour) says

January 21, 2015 at 10:37 pm

Thanks for the recommendation! I did love that Fibonacci Valentine craft. And you are so right - you can do it for St. Pat's day with shamrocks, stars on July 4, etc.

MelissaS says

January 23, 2015 at 4:58 pm

Where are those tiles from in the picture?

Erica MomandKiddo says

January 25, 2015 at 7:13 am

Good question! They are from a Melissa and Doug pattern block toy set.

Chris Daley says

April 29, 2015 at 8:46 pm

The updated URL for the fish tessellation idea is http://artprojectsforkids.org/fish-tessellation/

April 30, 2015 at 5:19 am

Thank you! I have updated the post.

Bohdan Rhodehamel says

June 23, 2015 at 1:18 pm

I stumbled across your site when my wife sent me a link to one of your book lists. Your Math Art tag immediately caught my eye.

You might be interested in our website, informalmathematics.org. Have a look, and keep an eye out as we slowly build up our content. In particular, check out the post on anamorphosis. Your sons will dig the projective geometry and you'll be happy to see them immersed in creating art.

August 04, 2015 at 11:46 am

I love your math ideas. I teach geometry and I am always trying to find unique things to show my students to capture their interest. Hopefully they will learn to love math!

August 05, 2015 at 8:32 am

Thanks so much, Kathy. Math art is definitely my favorite aspect of math!

Michelle says

November 08, 2016 at 6:27 pm

math is my favorite subject to!!!!!!!

nicole says

August 25, 2015 at 12:32 am

I'm very excited to have found your website. I think doing some math art will encourage my art-resistant 7 year old boy while illustrating various math concepts. What 'math art' books are your go-to titles?

August 25, 2015 at 8:18 am

Hi Nicole. I love the book "Growing Patterns" by Sarah Campbell, for inspiration in nature, and for projects I am currently loving Hands On Math Projects by Andrew King, and MathART Projects by Carolyn Ford Brunetto is another good one.

Sam Hamil says

April 17, 2022 at 11:54 pm

Hi Nicole, here's another great book with lots of math art projects:

https: //www.mathartprojects.com/

I especially like the activities about volume, perpendicular/parallel lines, and angles.

melvin din says

August 19, 2016 at 6:41 am

I have been combining Maths, art and electronics into woodwork projects. I strongly believe in integrated hands on project based learning with some room for inquiry. These examplars ave given me a food for thought and I am heading back to my wood workshop to innovate old projects with some Fibonacci golden ratios.

Gopesh says

September 17, 2017 at 3:00 pm

Great Projects.... My small cousin would be very excited. Would be great if u could send me more.

Priyank Pandey says

January 11, 2018 at 7:21 am

Wow! some great ideas for the kids. Will surely share with my subscribers.

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Geometric Math Art With Circles

This post may contain affiliate links.

Combining math with art can be so much fun! Today I want to show you some geometric math art with circles that we did this past week. We made flowers using math.

To do this fun math art project you will need graph paper and a compass , a pencil and eraser, and markers to color it in. We have this Jumbo Roll of Graph Paper that we have used for a few of our projects now ( Area & Perimeter City, Graphing Race , Mondrian Style Fibonacci Art ). You could do this on a smaller scale with regular graph paper, too.

The fun thing about this math art project is the patterns you create by just making circles!  You start by drawing a circle using the graph paper squares as a guide to make them all even.  I made our circles 4 squares wide. Draw the circle using the compass. Put the compass point right where you want the center of the circle to be.

Draw more circles overlapping the other one you already drew and continue drawing them until you have a large amount. I drew the next circle with the venter point three squares away from the first circle’s center point.  As you draw them, you will see the patterns emerge. The overlapping sections of the circles turn into four-petaled flowers.

Keep drawing circles. More and more of them!  You can start coloring them in and create patterns with colors now.

My kids are all a little uncertain on how to use a compass.  This project is wonderful practice for them to get the hang of it! It is ok to make mistakes and erase. We did!

A fun thing about using the graph paper roll is that your pattern can go on for a really long time. Plus, you can have multiple people working on it together. It would be so cool to do with a big class of kids!

My kids were amazed with the beautiful pattern we created by just drawing circles!  It was a lot of fun to draw and to color this math art project.

Did you know I wrote a Math Art book ?! Be sure to grab your copy!

Check out more Math Art Project Ideas: Heart Tessellations Mondrian Style Fibonacci Art 3-D Paper Shapes Stellated Dodecahedron Rhombicuboctahedron Geometric Heart  Jumbo Geometric String Art Rainbow Icosahedron Ball

This is part of the 28 Days of STEM and STEAM Activities for Kids series hosted by Left Brain Craft Brain. Hop over there for more amazing ideas!

Also, be are to check out the STEAM Kids Books for more STEAM and STEM ideas for kids.

Former school teacher turned homeschool mom of 4 kids. Loves creating awesome hands-on creative learning ideas to make learning engaging and memorable for all kids!

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In quilting that’s called a cathedral window, and they’re super cool looking.

Awesome!! I did not know that!

Fantastic! I like your blue compass with a pencil. Where can I buy it?

I got it at Walmart. 🙂

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How to Use Creative Art Projects to Make Your Students Love Math

Make math meaningful with these fun projects that allow your students’ creativity to shine!  Post-It Note Math Integrate math and[…] Continue Reading

Make math meaningful with these fun projects that allow your students’ creativity to shine!

 Post-It Note Math

Integrate math and art with this collaborative project. Divide students up into groups. First, students map out their design on graph paper, creating a multiplication array. Their design can be square or rectangular. When they’re finished sketching it out, have them write down the equation for their array. Next, have students figure out the area and perimeter of their design. Then, they figure out the fraction for each colored Post-it Note they will use. Once they’ve completed the math, they construct their design! They will create wall art using Post-it Notes. Their design will help guide them through the construction process.

Musical Fractions

Students explore fractions while writing a colorful melody, without even knowing how to read music! Fill glasses up with different fractions of water and add food coloring. Provide students with paper to write their songs. Have kids formulate a hypothesis about why the glasses of water project different sounds. Is it the color of the water? No! Students will be wowed at how water level makes an impact on the sound that projects from each glass. The fraction of water in each glass produces a different pitch.

Fraction Color Spinner Integrate math, art and science by creating a colorful spinning toy! Kids trace a circle (at least 6-inch diameter) on poster board (or cardstock) and divide it into six equal parts. Then, they color it in, using any colors they’d like. Once it’s colored, an adult punches two holes in the center of the circle. Kids measure out a 3-foot piece of string or yarn and lace it through their circle. Move the circle towards the center of the yarn (keep the one side of the string in a loop—don’t pull the string all the way through). Next, tie a knot on the other side so it has a loop. Then, twist the string up by flipping the circle round and round. Pull the string outward and let it unravel. Watch it spin and the colors mix!

Fishing for Angles

Students construct a fish out of a circle, using a protractor to create its mouth (make sure each kid creates a different angle). They cut out the angle, and the chunk of paper becomes the caudal (tail) fin.

To play a fun game, attach magnets to the fish. Then make a fishing pole using a stick with yarn and a magnet attached to the end. Students go fishing for angles! When they catch a fish, they use a protractor and figure out the angle of its mouth. They write down the type of fish they caught (e.g., 30-degree angle). They keep their fish. If they can’t figure out the angle, they throw their fish back! Whoever has the most fish wins!

3-D Collage: Measuring

Give students different colors of construction paper. They cut 1-inch-wide strips. Then, they use a ruler and cut their strips in different lengths (5, 6, 7, 8, 9, 10, 11, 12 inches) and manipulate them into different designs, creating a 3-D collage. They write down their measurements next to each paper strip.

Octopus Math

Integrate math, art and science all in one craft! Kids create an octopus while exploring division, fractions and multiplication. First, they divide a piece of construction paper in half. Next, they use a ruler and draw lines (on half the sheet) to create eight rectangles for the arms (see image). They cut along the lines they drew, stopping at the halfway mark. Then, they curve the paper and staple. Once stapled, they bend the arms, so the octopus can sit up.

After they’ve created their octopus shape, they flip it over. They stick round reinforcement labels (white circle stickers with a hole in the center) on the back of its arms and create suction cup arrays (see image). Then, they figure out the multiplication equation for their octopus.

This craft can be used for an animal adaptation unit. Kids learn that octopi have arms (not legs). The suction cups on their arms help them grasp their prey, move along rocks and taste things! Also, the octopus’s stomach is on top of its head! Its mouth is a hard beak (don’t let children draw a happy face on their octopus—the beak is underneath!).

Zoo Habitat Design: Collaboration Project (Math and Science)

Students collaborate and create a giant zoo. First, tape sheets of grid paper together (cut off the white borders). Next, cut out various irregular shapes off the giant grid for the students (see image). Give each student a piece from the grid. Their mission is to figure out the area and perimeter of their land for their exhibit. They choose an animal and plot out important aspects of its habitat. Does their animal live in the Arctic, forest, grasslands or rain forest? Students think about what colors to use to correctly match their animal’s habitat. They must make their animal feel at home in its exhibit. Does their animal play in the water, hide in a cave or roll around in the mud? They add details to the exhibit. Then, they find an image of their animal online and glue it into the habitat they made. When all of the students are finished, they work together and create a zoo! They problem-solve where each animal should go. Should the rhinos be near the elephants? Then they glue their designs on an oversize sheet of butcher paper. They add paths, signs and fences.

Candy Art Explore multiplication and fractions by creating a candy art array. Students create an image using colored candy. They must use their problem-solving skills because their candy must line up evenly to create an array. When they’re finished with their candy picture, they write down the multiplication equation that matches their array. Then, they write down the fraction for each color they used. Visit  Candy Art for more intricate designs to get kids inspired!  Note: For this activity, split kids up into teams. Then they can collaborate and create larger designs.

Place Value Pictures

Fun place value idea from Teachin’ First . Students use paper base-ten blocks to construct an original design. They could make a robot, rocket ship, scenic landscape, an animal or even a TV! Then, they figure out their number. Visit Teachin’ First for a free paper base-ten-block printable to go along with the activity. You can use the paper base-ten blocks to create place value initials! Click here for details.

Erin Bittman is a student at the University of Cincinnati. She is a student teacher in a multi-grade classroom (second and third grades) at a magnet-themed school. Check out her blog  E Is for Explore!

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5 Geometry Projects for Middle and High School

Are you looking for fun middle school geometry projects or high school geometry projects that will allow your students to show their creativity while also assessing geometry standards? These 5 projects do just that!

Projects are a great assessment tool in the classroom. I used to be guilty of focusing on skills only (skill and drill worksheets). While I know the basic skills are important, I also think we should move beyond the worksheet into applying the math we teach.  Projects allow students to not only show their mastery of the foundational skills, but also how they apply that skill in the real world. 

When I started using projects as a form of summative assessment, I received great feedback from students. They were excited to have an assessment that wasn’t a unit test! Projects are great for those creative students who might not be the best test takers. These geometry projects can be found HERE in my Teachers Pay Teachers store!

1. ABC's of Geometry Project

In this geometry project, students create a booklet that demonstrates their mastery of geometry vocabulary. Students find a geometry vocabulary word that starts with each letter of the alphabet. Then they write the definition and draw a picture representing that word. 

I give points for creativity. color, and neatness. Also, I make sure to tell students that the definition should be in their OWN WORDS, not copied from the internet! I also remind students that the words should only relate to geometry. For example, D is for Derivative would not work. 

Some useful websites for students to use are Math Words and Math Glossary . I usually supply paper, markers, and crayons for this project. If you don’t have these supplies, you could alway make this a digital project. Students could create a PowerPoint presentation instead of a booklet. I personally like the booklet better because I see more of the students’ creativity. 

2. Future Architect Project

Scale drawings and similar figures are a huge part of middle and high school geometry. In this project, students create blueprints for a house. They must include the scale and the square footage of the actual house. 

Some of the requirements for the blueprints include: 2-3 bedrooms, at least one bathroom, garage, kitchen, living room, and a special feature (like fireplace or walk-in closet). Students must also write a sales pitch for their house that includes the price. I tell them to research price per square foot in the local area to create a reasonable price. 

For this geometry project, I supply the graph paper. I’ve also let students use websites to create blueprints such as SmartDraw and Floor Planner . If students choose to use a website to create their blueprint, they still must print it and include other aspects such as a sales pitch and price. 

3. Art of Geometry Project

This project is perfect for those artistic students in your classroom. Students will create a 3-dimensional art sculpture using geometric shapes. They must use color, a variety of materials, and creativity.

I also assign a writing component to this project. Students must write 2 paragraphs about how they made their project and their inspiration for their project. This gives me an idea of the time and energy they spent on their sculpture. I love reading about their inspiration, too!

I do not supply any materials for this project. Some students use styrofoam, wood, metal, paper, paint, etc. The possibilities are endless. I tell students that they don’t necessarily have to buy the materials. They could use things around their house (with their parents’ permission). 

4. Geometry Careers Project

How many times do your students ask you, “When will we ever use this in the real world?” This geometry project allows them to answer that question!

Students will find and research 5 careers that use geometry. They must find different characteristics about the career such as salary, schooling, and job description. They must also print or draw a picture of each career. I have my students put all of this information on a poster.  I do not supply the poster board.

You could also make this into a digital project. Students could make a PowerPoint covering the 5 geometry careers. I’ve done a digital version in the past, and I definitely like the poster better. Students seem to put more effort into it. 

Another thing to consider is citing sources. Students will copy straight from the internet if you don’t make them cite their sources. I make sure to emphasize that students put the information in their own words. 

5. Mandalas (Rotational Symmetry) Project

Another great project for your artistic students! For this project, students will create a mandala using a compass and ruler. The mandala must have rotational symmetry. 

Students must tell me the order and degree of rotational symmetry. I also have them write about their inspiration for making the mandala.

I provide the paper, compasses, rulers, and markers/crayons for this project. Also, I allow students to watch YouTube videos about making mandalas. Even though I teach constructions using a compass, the mandala is much more complicated. Allowing my students to watch YouTube videos allows them to learn other techniques with a compass. 

I hope you liked these projects! You can find the complete projects including rubrics, teacher instructions, student directions, student samples and more in my Teachers Pay Teachers store . 

You can get a FREE sample of my complete geometry curriculum by clicking here!

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15 Ways to Integrate Art and Math in an Elementary Classroom

Susan Riley | December 2018

15 Ways to Integrate Art and Math in Elementary Classrooms

Math and art go together like peanut butter and jelly! You just have to know where to look and be a little creative in creating lessons that are meaningful for both content areas. You never want to sacrifice the skills and processes in either area when creating an arts integration or STEAM lesson.

While at first glance the integration of math and art would seem like trying to mix oil and water, there are many useful ways to integrate these two subjects. Children can use colors and shapes to enhance their understanding of math. They can also apply math theory to pictures and objects. When thinking of math not strictly in terms of arithmetic, but also in terms of problem solving, geometry, and visualization, ideas will start to materialize for integrated lesson plans.  Here’s a list of art projects that make authentic connections to math ideas and concepts.

15 Math Art Project Ideas

1. explore symmetry through tapestries.

Radial symmetry is everywhere in old tapestries, particularly in islamic art.  Review some of these tapestry examples and identify the symmetry presented. Then, have students create their own radial symmetry design blueprint using number rules. Assign different students different number rules (+3,+4,+5). Students can then use a 10 point circle, a ruler or straight edge, and a pencil to create their own shape designs using their number rules.

2. Telling time activity

Students draw a clock and color in two circles around the circumference of the clock. Make the inner circle blue. This corresponds to the hours on the clock. Make the outer circle red. This corresponds to the minutes.  Do not write in the numbers. Just write in line demarcations in place of the minute hands. Construct an hour and minute hand, color them the corresponding blue and red colors, and fasten them to the center clock so that they can freely rotate around. This lesson helps students visualize the imaginary numbers that are on the clock. Ask students about what numbers correspond to the placement of the hands on the clock and have them count by 5’s all the way up to 60.

3. Cut geometric shapes of different shapes for collages

Create a tissue paper collage of abstract art using various sizes of the same shape. Have students cut out all rectangles or squares in different sizes. Then, they can create a collage of one of the shapes. After gluing, have students measure each of the shapes on their paper that are placed next to or layered on top of each other (connected pieces). For each connected shape, have students glue down a label that joins the two pieces and write down the difference between the lengths of both connected shapes.

4. Composite figures

Students can work to create composite figures using geometric shapes in the style of medieval stained glass work. Using pencils and scrap paper create a triangle, square, or rectangle using only smaller triangles, rectangles, and squares. Using a black marker, draw a large geometric shape in the middle of your page. Then draw the smaller geometric shapes that comprise, or make up, that larger shape. Color in the shapes using different colored markers.

5. Graphing art

Reference the work of Mondrian and have students create their own gridded piece of artwork.  Provide coordinates and have students plot them on their grid paper. Then, color in each section based on where the coordinates fall.  For example, if the coordinates fall in the upper right quadrant, students can choose a warm color.

6. Make measurements

Emphasize the measurements that students make by using rulers to measure grids or cut frames for art projects. Also, students can take their rulers and measure various objects around the classroom, such as paper, crayons, the chalkboard, books, paintbrushes, and their desk. Students can also sort their art materials according to their sizes.

7. Determine ratio for paint mixing

When mixing and blending colors, teach students the ratios used in the mixing, such as “2 parts blue + one part green” and “4 parts white + 1 part grey.”

8. Part to Whole with String Art

Study some examples of modern string art . Have students discuss what they notice about the artwork and the art process. Provide students with a square piece of cardboard and several pieces of string with different colors, and a pair of scissors. Students should create inch-long cuts around the perimeter of the plate in equal spacing (they will need to measure this). Then, string one piece of yarn from one notch across to the other notch on the other side of the board and tie it in the back until the yarn is taut. This is a number line. Label one side as 0 and the other as 100. Then, have students determine where 25 would be on their number line. Have them string another piece of yarn along this spot and attach at the end notches. Label each end as “25”. Continue at various intervals across the number line. Then, lay a piece of tin foil across the board and string and color in the intersections that naturally occur.

9. Solve for the Unknown with Op Art

Study the form of Op Art and how it is used to create optical illusions. Then, provide all students with a piece of construction paper and paper strip scraps. Give each student a half-completed equation, ie: 8 x ? = 48. Students must figure out what number to use for how many total blocks they need to create, as well as how many rows and how many columns they will need to create. Then, follow these instructions for creating an Op Art Paper Weaving .

10. Create a piece of Fractal Art

Have students look at examples of fractals and fractal art. Explore the idea that a fractal is a smaller portion of the whole original. For instance, you could start with a triangle and then draw an upside down triangle inside of the original. This would be a quarter of the original triangle, but still the same shape. You could then create another triangle inside of your 2nd triangle, which would be another 1/4 (or 1/8th of the original). Create a piece of Fractal Art by selecting a shape and then measuring fractals of that same shape onto other pieces of paper and cutting them out. Label each fractal as its corresponding fraction to the original shape. Then, create a piece of art using the original shape and its fractals.

Fibonacci Word Fractal by Samuel Monnier

11. Array mosaics

Create a tile mosaic using rectangular arrays of up to 100. Give each student a single-digit number and a piece of grid paper. Ask them to shade an array on their grid paper that would represent that number multiplied by 10. For instance, if the number is 6, they could fill in 60 blocks. Ask students how they used their understanding of arrays to help them with this. Then, students can sketch a design within just the shaded blocks. Finally, they can create a tile mosaic based on their grid array drawings. They may only use as many tiles as the sum of their multiplication equation and each tile may only contain one item and/or color.

12. Escher-inspired tessellations

Give each student a different Escher print copy . Have them measure as before and determine how many square units are in their print. Then, create their own Escher-inspired tessellation print. Decide upon an object to use for the tiling. Then, measure its square unit. Create a tiling that does not contain any gaps and which uses color to contrast the pattern.

13. 100 day Aboriginal tile mosaics

Combine your 100th day of school celebration with a study on base ten. Create a 100 dot aboriginal tile mosaic. Provide each student with a single tile. Students study aboriginal art and then design an image they would like to create (such as a turtle or a river). Divide the picture into 10 equal sections. Decide what section of the larger art each tile represents. Students must create that section of the artwork on their own tile. Each tile contains only 10 dots. Combine 10 tiles to create a mosaic.

14. Interpret multiplication as scaling through shadow art

Create a Shadow Tracing. Place an object (such as a Lego block) on a piece of paper and then shine a light on it so that it creates a shadow. Examine the size of the shadow compared to the size of the object (it is larger than the original object). Then, measure the size of the shadow in length and width. The teacher will provide each student with a fraction greater than 1, such as 20/5 or 16/4. The student will need to create a shadow of the shadow tracing that is representative of their original length and width x their received fraction. For instance if my shadow tracing measured 3” x 1” and I received the fraction 20/5 , my new shadow of my shadow drawing will need to be 3” x 20/5 (12”) by 1” x 20/5 (4”).

15. Classify 2-D figures with Kandinsky

Using the work of Kandinsky, measure a variety of shapes he used in his work. Compare all of the attributes and draw conclusions about 2D figures in each subcategory represented in the work. Then, create a piece of artwork in the style of Kandinsky that maintains these distinct attributes and label each area of the artwork with the attributes assigned.

Wassily Kandinsky, “Yellow-Red-Blue” (1925), oil on canvas (Musée National d’Art Moderne, Centre Georges Pompidou, Paris, via WikiArt )

There are many fun and educational ways to integrate math and art for elementary school students. If you are looking for a way to reinvigorate your classroom, Arts Integration is a wonderful way to engage your students and spark your own creativity!

Additional Sources:

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ArtClass Curator’s 13 Art and Math Projects

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6 Engaging Activities to Teach Geometric Transformations

I am all about making math lessons as hands-on as possible – especially during a geometry unit! I love using engaging activities to teach geometric transformations so that elementary students can practice manipulating objects in different ways.

Here are some of my favorite low-prep activities for teaching reflections, rotations, and translations (aka flips, slides, and turns).

Transformations Art Activities

If you’ve been looking for a way to incorporate art into your math lessons, a geometry unit is a great opportunity!

One of my favorite activities is to have students create art with the different types of transformations. In the past, my students have done this with polygons, letters and numbers, and even our names.

Students just design whatever template they want to use and trace it to create copies (this is a good review of congruency). Then, they can create a tri-fold with the original image and a reflection, rotation, and translation.

Do you collaborate with specialists to team-teach? This is definitely a standard that art teachers can support!

Use Math Manipulatives

Another low-prep, high-engagement way to teach geometric transformations is to break out the pattern blocks, tangram shapes, and geoboards . Students can create an original design and then pass their work to a partner to create a reflection, rotation, or translation with it. There are tons of free virtual pattern blocks that students can use, too.

If you have a set of small hand mirrors, those are also fun to use to teach reflections. Tip: Raid your science materials!

Digital Transformations Activities

I also recommend having students practice making geometric transformations on the screen. Knowing how to flip, slide, and rotate objects with a mouse or keypad helps improve their computer skills!

These digital activities make it fun for students to practice geometry standards on the computer. And they’re super easy to assign right in Google Classroom™.

Geometric Transformations Boom Cards

Boom cards are another great way to review reflections, rotations, and translations.

If you’re new to Boom, it’s a digital platform where students can complete task cards digitally – which is great TEI practice! These engaging Boom cards are great to use for a review activity, especially during spring test prep.

Bust Out the Dance Moves

Remember the Electric Slide and the Cha Cha Slide? Variations on these dances are a really fun way for students to practice geometric transformations with their own bodies! You can just call out different moves (“slide to the left”) and have them play. They’ll go nuts!

Transformations Cut and Paste

These free printable worksheets also provide good practice with the 3 transformations. I’d use this as a classwork or homework assignment, a review, or even an assessment!

As you can see, there are plenty of hands-on, high-engagement activities to teach 3rd, 4th, and 5th graders about geometric transformations. What other strategies do you use to teach translations, rotations, and reflections? Let me know in the comments!

Related posts

Using Benchmark Fractions to Compare Fractions

Teaching Factors and Multiples

Using Digital Pre-Assessments in Math

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Math in Art

In our teaching programs, we all learned about the different sides of the brain and different learning types. But with the recession, many schools lost the programs that helped reach all learning types – especially art. Art is more than just creating beautiful pieces, many of the great master painters used math concepts to make their pieces even more appealing. Art helps other subjects come alive !

So how can we integrate math into art for our students? Here’s over 15 resources for covering both math and art concepts in a lesson! You can find even more on my Math in Art pinterest board .

How to make an orderly tangle of triangles – great for a geometry class!

Teach bar graphing skills (and even pi!) with this city skyline activity .

Paint with compasses ! Great for introducing this tool to younger students.

Teach symmetry with this self-portrait activity .

Tessellations have always been popular STEAM activities – here’s one for fish , there’s plenty more online for all grade levels!

This activity can help students struggling with the Pythagorean Theorem grasp the concept while making this piece of art !

These geometric stars can also be used for tracking New Year’s Resolutions!

Kids are always impressed with mobius strips !

Help students with learn their multiplication table with this art activity !

These kaleidoscope blocks are fun to make, and teach many different concepts while the students create them!

Your students will be impressed with themselves when they make these optical illusions !

For students new to geometry, a protractor can be a bit daunting. Help them learn to use the tool while creating fun pieces of artwork !

These colorful polyhedrons teach important problem solving skills during their construction, and they make great classroom decorations!

The golden ratio is one of those amazing concepts that covers almost all the areas of STEAM! The mathematical concept can be found in many famous pieces of artwork. This page has several resources for teaching it.

Teach the concept of seamless patterns and your students won’t want to stop coming up with new creations !

There’s even more Math in Art STEAM projects on my Pinterest board! What Math in Art projects have you used in the classroom? Did it help you reach more struggling students? I want to know!

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Pythagoras and Picasso: Integrating Math and Art in the Classroom

Here are seven ways teachers can use works by Pablo Picasso, Andy Warhol, and other artists to teach elementary and middle school math.

Pablo Picasso once said, “Every child is an artist.” If that’s the case, shouldn’t our students be afforded opportunities to create art in their daily lives? Arts integration is possible in all subject areas and can yield the multimodal, engaging activities students crave. Multimodal experiences can also activate the higher levels of Bloom’s Taxonomy and foster synaptogenesis .

I focus here on the integration of visual arts with mathematics. Let’s explore seven activities that would make Pythagoras smile.

Art for math’s sake

Andy Warhol–inspired multiplication arrays: In this project, show your students examples of Andy Warhol’s pop art, such as his Marilyn Monroe or Campbell’s Soup can pieces. Discuss the multiplication problems depicted in Warhol’s work. For example, in the Marilyn Monroe piece on display at the Cleveland Museum of Art, the array would depict the multiplication problem 20 x 5 = 100. There are 20 images of Monroe across and five images down. Then, challenge your students to create their own array with an image of their choosing. After they complete the arrays, have students share them with each other and explain their arrays and corresponding equations. When I taught this project, I had my students create their work by hand with paper and coloring supplies; however, this could certainly be done in an online format with software like Canva. Students can share their work orally, in person, or virtually through Flip or Seesaw. My students had a blast creating and sharing their array artwork, and it brought mathematics to life for them. This project was authentic and helped students make real-world connections. Shape hunts with images of famous works of art: This is a fun activity for students of any age and works great as a hook for a lesson. Look for images of famous works of art on Google or on the websites of art museums such as the Metropolitan Museum of Art, the Louvre, and the Cleveland Museum of Art. Find some of your favorite pieces and put them in a slide show for students to view. Have students discuss the various shapes that they see with the whole group, in small groups, or with a think-pair-share method. For example, my students have noted the crescent in van Gogh’s The Starry Night painting.

Symmetry of nature photography: Another fun way to integrate visual arts and mathematics is through nature photography. This can be photography from the internet or photography shot by your students with iPads or mobile devices. Have students view and analyze the symmetry, or lack thereof, in the photos. This activity could lend itself to a choice board activity, a whole group activity, or an extension activity after a unit on symmetry. A possible extension activity for this project itself could be compiling a class book of symmetry found in student-taken nature photography. Analyzing patterns through art: Patterns are everywhere in the world around us, and teaching students this problem-solving skill is vital to their 21st-century skill development. By showing students designs, prints, and images made with various colors, shapes, and textures from the internet or by local artists, you can facilitate opportunities for students to discuss their findings and engage in metacognition. An added layer to this arts-integrated mathematics lesson would be having students create patterns for their peers to analyze. Shape art gallery project-based learning (PBL): This is a project that I used with my elementary school students and borrowed from PBLWorks . After teaching my students about two- and three- dimensional shapes, I had them sketch items they saw in my classroom and around the school in their notebooks. Then, my students re-created their sketches with art supplies like construction paper, stickers, coloring supplies, and pipe cleaners. After they made their art, my students acted as artists in a museum to tell their peers about the work and the shapes found within it. Geometry and area/perimeter zoo PBL: My students enjoyed this unit after learning about how to calculate areas and perimeters and reviewed two-dimensional shapes. They used graph paper to design and draw their own zoo maps. I asked them to create exhibits on their maps for any animals they wanted to, but they had to include an exhibit that looked like each of the following shapes: circle, square, rectangle, hexagon, rhombus, and triangle. We talked about all of those shapes in the geometry unit. Then, the students had to calculate the areas and perimeters of each exhibit on the map and label it accordingly. On the due date of the project, my students shared their zoo maps with their peers and other adults from around the school.

One-to-one correspondence with Picasso and Mondrian: One of the building blocks of mathematics is counting and one-to-one correspondence. Without this skill, students wouldn’t be able to successfully execute other mathematical operations. The concept of one-to-one correspondence could be reinforced with shapes, colors, and visual arts. I chose to use works by Picasso and Mondrian for my lessons, but any artist’s work could be used to count shapes and colors.

Picasso and Mondrian are two artists who used lots of shapes in their artwork; Picasso has numerous facial features to count, and Mondrian uses many rectangles and squares. Have students count the different shapes in previously selected works by these two artists. Then students can record their responses and even graph the number of shapes in the artwork.

The above ideas hopefully will be stepping stones for you to design meaningful, relevant, and intentional arts-integrated mathematics lessons and activities for your students. Some additional technology resources to use include Google Arts & Culture , Google Drawings, PBS LearningMedia , The Kennedy Center , and generative AI such as Google Gemini , ChatGPT , or MagicSchool AI .

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• Create a symmetrical design using only squares, rectangles, and triangles in one quadrant of the coordinate plane.
• Transform the shapes to the other quadrants to form a symmetrical design.

CCSS.Math.Content.8.G.1, CCSS.Math.Content. 8.G.2, CCSS.Math.Content. 8.G.3

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• Students view various works of art from the Museum that are examples of the transformations ( PowerPoint ).  For each work of art, teacher asks the following:
• What do you see?
• What does this work of art make you wonder?

Teacher then asks students if the work of art contains an example of slide, flip, or turn, as directed in the PowerPoint presentation. After the presentation, the teacher reviews the elements of art and principles of design and asks the following:

• How have the artists applied the principles of design in these works of art?
• Why might the artists have created works of art that feature symmetry?
• What might the artists need to know about math to create these works of art?
• How might you use the principles of design in creating your own work of art that features slide, flip, or turn?
• Students are given a description of the project and examples ( PowerPoint ).
• Students find the center of their graph paper and create a coordinate plane.
• Students draw a diagonal line through quadrants to form an X.
• Students plan then construct their design in one half of one quadrant then transform the design to the other half.
• Students replicate the design to the other quadrants.
• Students color the design using symmetrical color scheme.
• Students record the original coordinates of at least five shapes, describe the transformation, and then record the new coordinates of the figures.
• Students complete a self-assessment of their work using a rubric.
• Teacher assesses the work using a rubric.
• Student handout will be used to assess students’ ability to describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
• Rubric will be used to assess student planning and creation of a work of art that demonstrates understanding of transformation and congruence.
• Student self-assessment will be used to assess students’ ability to critique art based on persobe used to assess student planning and creation of a work of art that demonstrates understanding of transformation and congruence.

coordinate plane ordered pair x-coordinate y-coordinate quadrant symmetry transformation translation (slide) rotation (turn) reflection (flip)

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Elements of Art and Principles of Design

Throughout much of the twentieth century, American art was dominated by the city. Landscape painting, which earlier had held a central place in American art, became little more than a sideline pursuit. In the final decades of the century, however, landscape painting enjoyed a dramatic revival, prompted partly by deepening awareness of the environmental crisis. John Beerman's paintings are poetic meditations on the enduring power of nature. Three Trees, Two Clouds was inspired by the country around Haw River in Alamance County, North Carolina. But the artist has done more than factually record. He conjures a surrealistic, dreamlike vision in which twin spectral clouds hover improbably between the trees. Earth and sky are thus united by uncanny symmetry.

Devorah Sperber incorporates everyday materials—thousands of spools of thread, pipe cleaners, colored tacks—to reinvent famous works of art. She is interested in exploring the reproduction of images in the digital era, the links between art and technology, and visual perception—how the eye and brain make sense of the visual world. She starts by scanning a reproduction of a painting to create a color-charted map, which she remakes in three dimensions using small objects to mimic the pixels of digital images. In the process she greatly enlarges the original image and turns it upside down. Viewing the work through the acrylic sphere provided by the artist mimics peripheral vision, turning the image right side up and shrinking it to a recognizable size. Sperber explains that in addition to experimenting with perception, she is equally determined “to provide visual experiences that are compelling enough to stand on their own without any explanation.”

 It is a measure of Rodin's genius that he could take a motif as mundane as two hands and create such an evocative sculpture. It brings to mind the vault of a Gothic cathedral -- hence the title. The fingers lightly touch, as if in prayer. Given the intimacy of this gesture, it comes as a surprise when we notice Rodin has used two identical right hands, "forever caught," as one critic wrote, "in marveling reciprocal self-contemplation."

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Exploring Mathematics with Mr. Hoenigmann

Equation art.

“ Be the change you want to see in the world. ”

EQUATION ART PROJECT

Directions:

You are to create a drawing with equations and restrictions using the DESMOS software. You can search on google for an image you want to draw or create your own. Your equation art should consist of at least 25 equations and at least 6 different types of equations. A simple image should take about 25 equations. A complex image will require many more. Example equations with restrictions are provided below to help you get started as well as examples of past student work. Create an Account on DESMOS so you can SAVE your work. You will turn in a hard copy of the design. Turn in the art with the equations using a paper clip. Make sure to color your equation art design.

IMPORTANT: Read everything!!! Having the foundational knowledge of how to use the software will save time.

To develop a deeper understanding of the various types of equations and their behavior through a creative process.

Grading Criteria:

1. Following Project Guidelines        2. Effort

DESMOS Tutorials Made by Mr.H :-) CLICK on the following links to develop familiarity with the software.

1) Linear Equations

2) Quadratic Equations

3) Absolute Value Equations

4) Equations of Circles

5) Equations of Ellipses

Other Graphs:

Rotating Ellipse

Changing Line Color : Click on the gear icon at the top left. Then click on the circle to the left of the equation and a color palette will appear.

Make Line Thicker: To make the graphs thicker click on the wrench tool at the top right and click Projector Mode.

Very Helpful: You can upload an image to the grid. Save the image as a JPEG file on the desktop. Next click the + button at the top left of desmos. Click on the image and upload. Example: Donald Duck  As with the equations, you can remove the image from the grid by clicking on the circle to the left.

Refer to textbook pages below to learn about various equations.

Pg. 139 Polynomial Functions of Higher Degree

Pg. 218 Exponential Functions

Pg. 229 Logarithmic Functions

Pg. 321 Trigonomentric Functions Sine and Cosine

Pg. 745 Ellipses

IMPORTANT: Create an account on DESMOS and SAVE your work periodically.

Look at the materials below and get Started: DESMOS Free Online Graphing Software       

DESMOS PC Printing Instructions

Note: Make the title for your equation art in DESMOS your name followed by class period.

On Internet Explorer to to File -> Page preview, choose Landscape, choose Shrink to Fit, and turn off all headers and footers by click the page setup gear icon. Choose bottom right footer to be your Title. Print!

Note: There have been some issues with printing out the full list of equations. If it doesn’t work, don’t stress about it. DESMOS still has some improvements to make.

Examples of Equations with Restrictions

Examples of Student Work

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Geometric Abstract Art – The Pinnacle of Non-Representative Art

Geometric abstract art, a vibrant and dynamic movement within the broader realm of abstract art, showcases the harmonious interplay of shapes, lines, and colors to create visually captivating compositions. Emerging in the early 20th century and gaining momentum through pioneers like Piet Mondrian, Wassily Kandinsky, and Kazimir Malevich, geometric abstractionism represents a departure from representational forms, focusing instead on the pure essence of form and color. This artistic style not only explores the fundamental principles of geometry but also invites viewers to experience a heightened sense of balance, rhythm, and spatial relationships. In this article, we delve into the captivating world of geometric abstract art, exploring its origins, key artists, defining characteristics, and lasting impact on the art world.

Table of Contents

• 1 Key Takeaways
• 2 What Is Geometric Abstract Art?
• 3.1 Pioneers of Geometric Abstraction
• 3.2 Key Art Movements
• 4.1 Form and Composition
• 4.2 Color and Texture
• 5.1 Wassily Kandinsky (1866 – 1944)
• 5.2 Piet Mondrian (1872 – 1944)
• 5.3 Kazimir Malevich (1879 – 1935)
• 5.4 Sonia Delaunay (1885 – 1979)
• 5.5 Barnett Newman (1905 – 1970)
• 6.1 Abstract Geometric Art Techniques
• 6.2 Contemporary Artists and Contributions
• 6.3 Cultural Impact and Recognition
• 7 Legacy of Geometric Abstract Art Today
• 8.1 Who Are Some of the Most Influential Artists in the Geometric Abstract Art Movement?
• 8.2 How Does Geometric Abstraction Differ from Other Forms of Abstract Art?
• 8.3 What Are Some of the Defining Characteristics of Geometric Abstract Art?
• 8.4 What Impact Did Geometric Abstract Art Have on the Direction of Modern Art?

Key Takeaways

• Geometric abstract art emphasizes nonrepresentational compositions using geometric forms.
• This art form evolved in the early 20th century, breaking away from traditional representational art.
• It invites viewers to engage with the visual language of shapes on a purely abstract level.

What Is Geometric Abstract Art?

Geometric abstract art is an artistic movement characterized by the emphasis on geometric forms arranged in nonobjective compositions. This form of art moves away from the representation of recognizable reality and instead focuses on the inherent visual elements of shapes and colors. Originating in the early 20th century, this movement represents a significant departure from traditional art forms, foregrounding the visual language of form and composition over mimetic representation.

At its core, geometric abstract art relies on the simplicity and precise language of geometry. Artists within this movement leverage lines, angles, and surfaces to create artworks that may evoke a range of interpretations, untethered from the need to replicate the natural world. The use of these geometric elements creates a sense of order and harmony, while sometimes also delving into a more dynamic and complex layering of forms and spaces. This abstraction invites viewers to consider the artwork on its own terms, as a pure entity reflecting the artist’s investigational journey into the potential of shapes and their spatial relationships. Geometric abstract art is characterized by key elements that define its unique style. Artists within this movement utilize geometric shapes such as squares, circles, triangles, and polygons as the building blocks of their compositions, creating visually striking and structured artworks.

One of the defining features of geometric abstraction is its non-objective nature, where artworks do not depict recognizable scenes or objects from the real world.

Historical Origins and Influential Artists

Geometric abstraction is a form of abstract art that emerged in the early 20th century, characterized by its focus on simple geometric forms and colors, breaking away from traditional representation.

Pioneers of Geometric Abstraction

The advent of geometric abstraction marked a significant shift in the art world post-Renaissance, as artists began exploring forms and colors as autonomous elements. Kazimir Malevich, a Russian artist, was instrumental in this movement, famously creating the “Black Square” in 1915, which became a seminal work of Suprematism. This work evidenced a move towards nonobjective compositions, where Malevich’s floating geometric forms in white space aimed to convey the purity of shape.

Piet Mondrian, hailing from the Netherlands, was another pivotal figure whose work in the early 20th century evolved into what is known as Neoplasticism.

Mondrian’s artisanship depicted a strict language of vertical and horizontal lines combined with primary colors, reflecting his search for universal values and aesthetic. Together with Theo van Doesburg, these artists founded De Stijl, a movement that embraced an abstract, minimalist aesthetic principle, and had profound effects on the development of abstract art, influencing design and architecture of the Bauhaus.

Wassily Kandinsky, often regarded as the pioneer of abstract art, was another influential artist whose work intersected with geometric abstraction. While his earlier works were more expressionistic, he later embraced the abstraction of geometric forms, especially during his time at the Bauhaus where he taught and developed his theories on art’s spiritual potential.

Key Art Movements

• Cubism: Initiated by Pablo Picasso and Georges Braque in Paris, Cubism was central to the development of geometric abstraction. This movement deconstructed objects into geometric shapes and presented multiple viewpoints simultaneously, opening the door for abstraction.
• Constructivism: Originating in Russia around 1913 and closely linked with the revolution, Constructivism was an artistic and architectural philosophy that dismissed “art for art’s sake” in favor of art as a practice for social purposes. Following Cubism’s lead, Constructivists used geometric forms as a means for social commentary.
• De Stijl: This Dutch movement, co-founded by Piet Mondrian and Theo van Doesburg around 1917, focused on reducing art to its basic elements—straight lines, rectangular forms, and primary colors. It espoused ideals of harmony and order, and its influence extended beyond painting to graphic design, furniture, and architecture.
• Suprematism: Kazimir Malevich introduced Suprematism in Russia in 1915, emphasizing basic geometric forms and a limited range of colors. It was characterized by an interest in floating geometric shapes and the exploration of the materiality of painting.
• Bauhaus: An influential German school of art and design that ran from 1919 to 1933, the Bauhaus integrated the principles of geometric abstraction into its curriculum. Under the guidance of artists like Wassily Kandinsky, it unifieed art, craft, and technology, and had a profound influence on modern architecture, art education, and design.

Through these movements and pioneering artists, geometric abstraction sought to convey a deeper spiritual reality, detaching from the representational forms that dominated art for centuries. Abstract sculpture also emerged during these movements, applying similar principles to three-dimensional forms.

The entities discussed were at the core of the transformative wave during the Parisian scene in the early 20th century and have left an indelible mark on the history of art.

Principles and Elements of Design

In the realm of geometric abstract art, the principles and elements of design serve as the crucial building blocks that artists manipulate to convey visual language. Geometric forms, patterns, and the interplay of space and color are orchestrated within non-illusionistic space to achieve a unique aesthetic that can range from minimalist to complex compositions.

Form and Composition

Geometric abstract art is characterized by the use of geometric forms such as circles, squares, and triangles. These forms are the primary components that define the composition within a painting. The artist deliberately places these shapes in relation to one another to create a sense of balance and structure on the canvas. Geometric abstract art often employs a minimalist approach, focusing on simplicity and repetition of forms to create patterns.

The space around and within these geometric structures is equally important, contributing to the overall sense of the composition’s harmony.

Color and Texture

The use of color in geometric abstract art is often bold, relying on primary colors to create contrast and visual impact. Artists might choose colors with intention, using them to advance or recede in the viewer’s perception of space. Texture, while sometimes overlooked, can add an additional layer of interest—whether it’s the tactile quality of the materials used or the visual texture achieved through paint application techniques on the canvas. Contrasts in texture can further enhance the abstraction, emphasizing the two-dimensional surface of the artwork while at the same time drawing attention to its physicality.

Notable Artists

Geometric abstraction is marked by the significant contributions of various distinguished artists. Each brought unique perspectives and techniques to the movement, crafting a legacy that continues to influence contemporary art .

Wassily Kandinsky (1866 – 1944)

Wassily Kandinsky is celebrated for his profound influence on the development of geometric abstract art and the Expressionist movement. Inspired by music, spirituality, and theosophy, Kandinsky’s artistic journey led him to explore the emotional and spiritual dimensions of art through abstract forms and colors. He believed that art should transcend mere representation and evoke inner experiences and emotions. Kandinsky’s involvement with geometric abstract art is evident in his later works, where he employed geometric shapes, bold lines, and vibrant colors to create visually dynamic compositions that resonate with viewers on a profound level.

His theoretical writings, particularly “Concerning the Spiritual in Art,” articulated his ideas about the transformative power of abstract art, shaping the course of modern art history and inspiring generations of artists to embrace abstraction as a means of artistic expression.

Piet Mondrian (1872 – 1944)

Piet Mondrian is renowned for his pivotal role in shaping geometric abstract art. Influenced by theosophy and the idea of universal harmony, Mondrian’s artistic journey evolved from early figurative works to the iconic grid-based compositions that define his style. Embracing geometric shapes, primary colors, and a strict grid structure, Mondrian sought to distill art to its essential elements, believing that through abstraction, he could access a universal truth. His involvement with geometric abstract art revolutionized modern art, inspiring generations of artists and contributing significantly to the development of the De Stijl movement.

Mondrian’s legacy continues to resonate in contemporary art, symbolizing a quest for balance, simplicity, and the pursuit of artistic purity.

Kazimir Malevich (1879 – 1935)

Kazimir Malevich, a pioneering Russian artist, played a crucial role in the development of geometric abstract art. As a leading figure in the Russian avant-garde movement, Malevich explored the concept of pure abstraction, seeking to transcend representational art and conventional forms. His most famous work, “Black Square” (1915), is emblematic of his revolutionary approach, symbolizing a departure from the visual world into a realm of pure form and color. Malevich’s involvement with geometric abstract art extended beyond painting; he also delved into theoretical writings, articulating his ideas in the manifesto “From Cubism to Suprematism.”

Through his geometric compositions and philosophical insights, Malevich’s contributions laid the foundation for the Suprematist movement, influencing artists globally and reshaping the course of modern art history.

Sonia Delaunay (1885 – 1979)

Sonia Delaunay was a key figure in the development of geometric abstract art and Orphism. Alongside her husband Robert Delaunay, Sonia explored the intersection of art and design, creating vibrant and rhythmic compositions characterized by geometric shapes and bold colors. Her involvement with geometric abstract art was not limited to painting; she also ventured into textile design, fashion, and applied arts, infusing everyday objects with dynamic patterns and geometric motifs. Delaunay’s innovative use of color and form, influenced by the avant-garde movements of the early 20th century, earned her recognition as a leading artist of her time.

Her contributions to geometric abstraction continue to inspire contemporary artists and designers, highlighting the enduring impact of her multidisciplinary approach to art.

Barnett Newman (1905 – 1970)

Barnett Newman made significant contributions to geometric abstract art and the development of Abstract Expressionism. Newman’s artistic vision was deeply rooted in philosophical and spiritual themes, often exploring the sublime through his monumental paintings. He is best known for his iconic “zip” paintings, characterized by vertical lines or “zips” that traverse expansive color fields, creating a sense of depth and contemplation. Newman’s approach to geometric abstraction went beyond formalism; his works were imbued with existential themes, inviting viewers to engage with the metaphysical aspects of art.

Through his involvement with geometric abstract art, Barnett Newman challenged traditional notions of painting and paved the way for a new era of artistic exploration in the mid-20th century.

Modern Interpretations and Practices

The evolution of geometric abstract art continues to manifest in varied methods and mediums, as contemporary artists build on the foundation laid by their predecessors. Integration of modern culture and new techniques keeps the art form at the forefront of abstraction.

Abstract Geometric Art Techniques

Optical illusions and flatness, traits once pioneering in works of op art and synthetic cubism, find new executions in the hands of modern artists. Experimentation with visual world concepts, hard-edge painting, and papiers collés techniques add dimensions to the picture surface, transforming it into a carrier of applied elements.

Construction plays a key role in the creation of artworks, where artists orchestrate elements to interact with light and shadow, creating pieces that are as much about the process as the outcome.

• Experimentation: Artists like Bridget Riley and François Morellet push boundaries with their work, using meticulous precision to produce visuals that challenge perception.
• Music and art: The rhythmic quality of music influences abstract geometric art, where repetition and progression mimic musical structure.
• Collage: Modern adaptations of collage breathe new life into the medium, as seen in works by Ellsworth Kelly and María Freire, where the art is about both the act of creation and viewer perception.

Contemporary Artists and Contributions

Contemporary artists continue to enhance the vocabulary of geometric abstraction. Frank Stella and Burgoyne Diller exemplify the transition from representational art to abstraction, focusing on the essence of artistic expression beyond physical representation.

• Bridget Riley: Utilizes precise line work to create engaging optical effects.
• Carmen Herrera: Known for her bold and colorful shapes, contributing to the hard-edge sub-genre.
• Ellsworth Kelly: Explores form, color, and space to examine the relationship between object and environment.

Ivan Kliun and László Moholy-Nagy took advantage of industrial materials to emphasize abstract geometric art’s connection to the construction and material world.

Cultural Impact and Recognition

Geometric abstraction has permeated various aspects of culture, influencing everything from architectural design to fashion. The crossover between abstract art and culture underscores the genre’s capacity to reflect contemporary society while still resonating with the individual on an almost instinctual level.

• Exhibitions and museums: Major institutions continue to showcase the significance of geometric abstraction through exhibitions and permanent collections.
• Cultural dialogue: Artists like Alejandro Otero and José Albers engage in a visual dialogue with viewers, addressing cultural narratives through geometric form and composition.
• Recognition: While some artists only gained broad acknowledgment later in life, such as Carmen Herrera, their work stands as testament to the enduring nature and relevance of geometric abstract art in the modern era.

Legacy of Geometric Abstract Art Today

Geometric abstraction continues to influence artists around the globe, maintaining its place as a significant movement in contemporary art. Its fundamental principles are seen in the works of numerous modern artists who capitalize on the geometric form’s potential to create visually stimulating compositions. The movement’s longevity can be attributed to its versatile nature. Artists often combine geometric shapes with bold colors to produce pieces that variantly interact with viewer perception.

Geometric abstraction is not confined to paintings or sculptures—it pervades various mediums and disciplines, from digital art to architectural design, proving its adaptability and relevance. It underscores that art is not merely reflective of the time it originates from but also evolutionary, often cycling and resurfacing in new contexts with each subsequent generation of artists. Today, the themes and ideals of geometric abstraction remain robust. They are reinterpreted with a contemporary twist, ensuring that the legacy of the movement’s pioneers, such as Wassily Kandinsky, Piet Mondrian, and Kazimir Malevich, continues to thrive and inspire.

Geometric abstract art stands as a testament to the boundless creativity and expressive potential of the human mind. Through its exploration of geometric forms, mathematical precision, and vibrant color palettes, this artistic movement has left an indelible mark on the art world. From the bold compositions of Mondrian to the spiritual depth of Kandinsky, geometric abstract art continues to inspire and captivate audiences, transcending cultural and temporal boundaries. As we reflect on the journey through this fascinating artistic realm, we are reminded of the enduring power of abstraction to evoke emotion, challenge perception, and ignite the imagination.

Frequently Asked Questions

Who are some of the most influential artists in the geometric abstract art movement.

Influential artists in geometric abstract art include Agnes Martin, known for pieces like Tremolo from 1962, and Constantin Brâncusi, whose sculpture The Kiss (1908) displayed mastery in geometric form. Other prominent figures are Jean Arp with works such as Sculpture to be Lost in the Forest (1932) and artists associated with the Bauhaus movement, which significantly contributed to the development and popularization of geometric abstraction.

How Does Geometric Abstraction Differ from Other Forms of Abstract Art?

Geometric abstraction is characterized by its use of geometric shapes and hard-edge forms arranged in nonrepresentational space, often conveying no reference to real-life objects. This differentiates it from other abstract art forms that may employ organic shapes, gestural brushwork, or representational elements that point to real-world references, as seen in styles like Informel or lyrical abstraction.

What Are Some of the Defining Characteristics of Geometric Abstract Art?

The defining characteristics of geometric abstract art consist of a focus on geometric shapes like squares, circles, and lines, arranged in a non-objective manner. These works prioritize the flatness of the canvas and color, emphasizing self-referential forms that do not represent or symbolize anything outside of the composition. This approach highlights the art form’s intention to evoke visual purity and harmony.

What Impact Did Geometric Abstract Art Have on the Direction of Modern Art?

Geometric abstract art had a substantial impact on modern art, ushering in movements such as Optical Art (Op Art) and influencing various design disciplines. Its emphasis on minimalism and fundamental geometric forms paved the way for further exploration in non-representational art and played a critical role in the transition away from traditional figurative painting towards an emphasis on structure and color as primary means of expression.

Isabella studied at the University of Cape Town in South Africa and graduated with a Bachelor of Arts majoring in English Literature & Language and Psychology. Throughout her undergraduate years, she took Art History as an additional subject and absolutely loved it. Building on from her art history knowledge that began in high school, art has always been a particular area of fascination for her. From learning about artworks previously unknown to her, or sharpening her existing understanding of specific works, the ability to continue learning within this interesting sphere excites her greatly.

Her focal points of interest in art history encompass profiling specific artists and art movements, as it is these areas where she is able to really dig deep into the rich narrative of the art world. Additionally, she particularly enjoys exploring the different artistic styles of the 20 th century, as well as the important impact that female artists have had on the development of art history.

Learn more about Isabella Meyer and the Art in Context Team .

Cite this Article

Isabella, Meyer, “Geometric Abstract Art – The Pinnacle of Non-Representative Art.” Art in Context. April 9, 2024. URL: https://artincontext.org/geometric-abstract-art/

Meyer, I. (2024, 9 April). Geometric Abstract Art – The Pinnacle of Non-Representative Art. Art in Context. https://artincontext.org/geometric-abstract-art/

Meyer, Isabella. “Geometric Abstract Art – The Pinnacle of Non-Representative Art.” Art in Context , April 9, 2024. https://artincontext.org/geometric-abstract-art/ .

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Math Crafts – Math + Art

Math can be so much more engaging when you teach concepts in a new way. This year, I added some new math crafts to my math lessons, and the results were amazing!

HANDS-ON FUN

In my experience, teaching math has always been more effective when there are a lot of hands-on activities included in instruction. This includes lots of blocks, spinners, dice, cards, and other manipulatives. Little hands and brains seem to learn so much better when there are concrete objects to move around and play with.

Adding art to our math instruction fits right in with this way of thinking. Coloring, cutting, gluing and arranging shapes is an engaging way for students to expand their fine motor and thinking skills.

In addition, the projects I’ve made with my students are fun and cute – that’s why my students love to make, display and talk about them!

A PEEK AT SOME MATH CRAFTS

Here are some photos of the math crafts we’ve made in class. Some of the core math concepts covered are numeral formation, subitizing, counting, one-to-one correspondence, skip counting, geometry, place value, symmetry, telling time, and doubles! Click on any of the pictures to see the project in more detail.

Geometry – 2D and 3D Robots

Pattern Caterpillar: Skip Counting by 2, 5, and 10

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Subitizing and Numeral Formation Puzzles 1-10

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CRAFTY MATH BUNDLE 2

Many of these new crafts also include color versions to use a math centers, and printables to use for assessment of understanding. Skills practiced include: Addition, Subtraction, Make 10, Doubles, Geometry, Odd and Even, 100’s Chart Adding or Subtracting tens and ones, and number order.

Click the picture below to see the preview!

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Racist lebron james poster displayed at school art show, officials investigating, lebron james racist poster goes on display at school art show ... officials investigating.

A racist posterboard featuring images of LeBron James and monkeys was somehow put on display at a school art exhibition over the weekend ... and officials are now investigating how in the world the offensive piece was allowed to make it there.

The project -- a parody of a cereal advertisement called "Monkey Premium" -- was done by a New Hartford Central School District student in New York ... and then showed off in a school gymnasium at the New Hartford Festival of the Arts event on Saturday.

It had a headline of "Eat Monkeys, Jump Like Monkeys!" ... with a picture of James mid-flight in his Lakers uniform next to a bowl of cereal.

Some of the text on the board promised that a consumer of the food -- which was shaped like monkeys and bananas -- would "jump 2-5 inches higher for about 2 hours" after eating it.

As you'd expect, it was met with a ton of outrage given its obvious nods to racist tropes ... and on Monday, Superintendent of Schools Cosimo Tangorra Jr. said in a statement to parents in the community that officials are looking into the matter.

"It is disheartening that racist work was not only created," Tangorra Jr. said, "but then overlooked and allowed to be displayed."

Tangorra Jr. said the person who created the work has been ID'ed and contacted by officials. However, because of privacy reasons, details surrounding the student could not be made public. Further information regarding a possible punishment could not be released, either, Tangorra Jr. said.

"We understand that there are students, families, staff and community members who may not feel safe, accepted or welcome as a result of what transpired," Tangorra Jr. said. "Our school community deserves access to a supportive learning environment where everyone feels respected, included and safe."

"We have fallen short of that goal, and we must do better," he continued. "As a district, we will continue working to ensure all students and their families feel valued, and it requires increased education, dialogue, and action from the entire school community."

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Frank Stella, artist renowned for geometric works, dies at 87

NEW YORK — Frank Stella, a painter, sculptor and printmaker whose constantly evolving works are hailed as landmarks of the minimalist and post-painterly abstraction art movements, died Saturday at his home in Manhattan. He was 87.

Gallery owner Jeffrey Deitch, who spoke with Stella’s family, confirmed his death to The Associated Press. Stella’s wife, Harriet McGurk, told the New York Times that he died of lymphoma.

Born May 12, 1936, in Malden, Massachusetts, Stella studied at Princeton University before moving to New York City in the late 1950s.

At that time many prominent American artists had embraced abstract expressionism, but Stella began exploring minimalism. By age 23 he had created a series of flat, black paintings with gridlike bands and stripes using house paint and exposed canvas that drew widespread critical acclaim.

Over the next decade, Stella’s works retained his rigorous structure but began incorporating curved lines and bright colors, such as in his influential Protractor series, named after the geometry tool he used to create the curved shapes of the large-scale paintings.

In the late 1970s, Stella began adding three-dimensionality to his visual art, using metals and other mixed media to blur the boundary between painting and sculpture.

Stella continued to be productive well into his 80s, and his new work is currently on display at the Jeffrey Deitch Gallery in New York City. The colorful sculptures are massive and yet almost seem to float, made up of shining polychromatic bands that twist and coil through space.

“The current work is astonishing,” Deitch told AP on Saturday. “He felt that the work that he showed was the culmination of a decades-long effort to create a new pictorial space and to fuse painting and sculpture.”

The Associated Press