Math & Art Activity on Area and Perimeter (Digital & Printable Worksheets)Rated 4.9 out of 5, based on 18 reviews 18 Ratings
Your students will enjoy building Slinky Snake and Biblio-Bird Bookmarks while learning about area, perimeter, and triangles at the same time. Each carefully designed template is drawn over a centimeter square grid so that the area and perimeter can be calculated easily. The templates here are considered level 5 because they include, not only squares but also triangles and circles. This activity is geared to grades 6-11 but is adaptable to many grade levels as described below.
Card stock paper-white preferably (Note: the templates work best if you print them directly onto thicker paper. However, you can print to regular paper and glue it onto thicker paper. You can also just make these using regular paper. These will not be quite as durable.
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Here’s an ingenious and ‘seriously → fun’ way to learn about area & perimeter, (and much more). This activity booklet will provide your students with a clever progression of beautifully designed paper geometric creations that will provide hours of student inquiry, and deep understanding of a number of important math concepts. And yes, you can use this activity book equally well in a kindergarten class or in a calculus class.
Here’s how this works, starting at Level 1 students cut out and fold figures into geometric creatures like ‘Flat Cat’ & ‘Square Hare’. At Level 1, the figures are divided into squares so students can find the area and perimeter by adding up the number of squares total, (area), and the number of square sides along the edge, (perimeter).
Note: If you’re a teacher K-2 you’re already thinking this is too hard – and for most kids this age you are right! However, I believe there is tremendous value in having students working with math concepts in their hands, so to speak, well before they work with them in their heads. (Personally I know the hours I spent building stuff as a young boy helped me earn my physics degree years later. Students in early elementary can recognize the shapes used and count them. They also might be inspired to create their own creations using geometric shapes.
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Right from the get-go, students will see that a ‘cat’ cannot be accurately represented using only squares just as our early ancestors did many, many years ago. However, you can get a decent estimate using just squares. More interesting shapes can be constructed using triangles, Level 4, but this does require some ‘hidden knowledge’ about triangles and the use of a ruler to find the perimeter. (Or you might apply the Pythagorean theorem depending on the age and level of your students.)
Next we move on to circles, Level 5, which of course requires a ‘secret’ formula and again the use of a ruler to measure the diameter, (again another important historical development – right? See where I’m going?)
Finally, students will be presented with shapes whose area and perimeter can only be calculated using advanced math – basically Calculus. It is NOT important that the elementary school teacher know how to calculate the area of these shapes using calculus! It is important, however, for teachers and students to understand the ‘end result’ of math in its continuum. (Calculus was one of the most exciting discoveries in math because it allows you to find the area and perimeter of nearly any shape. That allows us to build airplanes and send people to the moon! However, the basis of calculus is really exactly what students do to find the area of ‘Flat Cat’ – add up squares! But really, really small ones.)
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So you see, this booklet provides a visual presentation of the math continuum that parallels, pretty closely, historical discoveries. Students, and teachers can see where the study of math might take them; also why more challenging classes in mathematics are needed.
This unit activity meets or exceeds 21st Century and STEM learning expectations, and Common Core learning outcomes. (I think STEM, which stands for science, technology, engineering and math, should be changed to STEAM, where 'A' stands for Art. What do you think?)
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT’s content guidelines.Piet Mondrian was a Dutch artist who co-founded a movement called De Stijil or “The Style” following World War I. De Stijil is a geometrical abstract style also known as neo-plasticism.
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Before his art in cubism, Mondrian studied and explored a range of different art styles. Ultimately, he moved to creating artwork that was divided into rectangles of different sizes with each painted a uniform color. He often worked with yellow, blue, red, or black colors.
There are great vocabulary words to discuss during this activity. A composition is the way the parts of artwork are arranged by an artist. Primary colors are fundamental colors from which all other colors can be made by mixing.
Geometric art refers to using shapes with straight lines, circles, or squares to create art. Asymmetric means that the artwork is not the same on both sides. Cubism is an art style that uses fragmented forms and space that mixes the subject and background together.
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We work with pixel pictures a lot and created a blank sheet for designing pixel pictures with conditional formatting. This activity uses conditional formatting to change the pixels into primary colors by typing the first letter of each color (or BL for black).
Mondrian art typically has thick black borders between all of the rectangles. The Digital Mondrian Art sheet is set up to retain borders when you merge the cells to create rectangles. However, if you remove a merge to start over, you’ll need to add borders back to the blocks.
To make rectangles, you’ll use the Merge tool. Select the squares of your rectangle and then click Merge. The border should remain unless you decide to change the blocks. If you decide to undo the “Merge”, you’ll need to add borders again to those blocks.
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To color your rectangles, use the first letter of the color you’d like to use. You’ll also find a key at the top if you need more information. The only color that uses two letters to use is black. The color a rectangle black, type the letters “BL”.
You can share your Google Sheet by clicking the “Share” button and entering the email of the people you’d like to share the Sheet with or you can also grab the “Get Shareable Link” option to get a link that you can send via email.
We printed our art in order to complete the Mondrian Math worksheet, so we could write on our Mondrian art while we worked. This isn’t necessary, but it is easier to work with when it is printed.
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We used a ruler to make it easier to count the squares for the length and width of each rectangle. Then, we multiplied length x width to find the area for each rectangle and wrote the area inside the rectangle.
The total area of the artwork is 33 x 23 = 759 blocks. This will not change for anyone’s artwork although the area and fraction for every color WILL be different because it is based on the unique Mondrian art created.
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Hey there, I’m Toni! I’m a software engineer and Maker Mom that finds my joy in unleashing my children’s curiosity by exploring STEAM concepts with my fantastic five!
When I’m not chasing toddlers or raising tweens, you can find me tearing things up and putting them back together over here atOur Family Code.
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I am the owner and content creator of multiple educational websites designed to increase access to STEAM & STEM education with a focus on teaching computer science and coding to kids of all ages!
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