# Let’s Make Squares Activity

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Several years ago, I heard about the Let’s Make Squares activity from an OKMath Newsletter sent out by Christine Koerner. She recommended Let’s Make Squares as a great activity for the first week of school.

I had already decided that I was going to do the 2s to 9s Challenge as my first day of school activity, but I was intrigued by the square activity. I wrote a note in my Google Keep to investigate this activity, but I never did anything with it until the other day.

It turns out the Let’s Make Squares activity was from a book that I already had on my shelf – *Cooperative Learning* by Dr. Spencer Kagan. I actually have an older edition of the book (1994 edition). Newer versions of the book appear to have more copy-friendly blackline masters. Since my edition didn’t, I decided to type up my own set of directions to give my students.

For the Let’s Make Squares Activity, students will need to be in groups of 4. Each group member needs three pieces (I used jumbo popsicle sticks) in a unique color from the rest of the group. If you don’t have access to colored popsicle sticks, you can also use strips of colored paper.

Groups must work together to use all 12 sticks/strips to form various numbers of squares. Each teammate is only allowed to touch/move their color of sticks/strips. This encourages groups to work together and communicate as a group as they work through the various levels of the puzzle.

Pieces must lay flat on the table. They cannot be folded, bent, torn, or broken in any way. This is one of the reasons I chose to use colored popsicle sticks instead of colored paper.

I included a diagram of what moves are allowed/not allowed in the process of making squares.

Sticks are always allowed to cross. They are never allowed to be stacked on top of one another or be arranged so sticks are touching one another along the long edge.

The hardest rule for students to follow is that “extras” are not allowed. This means that every stick must contribute to the making of squares.

Each group gets a bag of popsicle sticks (or colored paper strips), a set of instructions, and a recording sheet.

The recording sheet is my own addition to this activity. I decided I wanted a way for students to record their solutions as they found them instead of having to wait for me to check each of their solutions before moving on.

Plus, it gives students a way to keep track of which numbers of squares they have found and which ones they still need to find.

All twelve puzzles have a solution!

I cut some 11 inch strips from some colored cardstock to make a set of demonstration pieces to use with students on my dry erase board.

I added disc magnets to the back of each piece.

I show them that sticks are allowed to cross.

I also demonstrate the actions that are not allowed.

Stacking

Touching

Extras. For example, this would not count as one square since all 12 pieces are not contributing to the square.

Still not sure what I mean about making squares? Check out some action shots I took when I tested this activity with my senior statistics students during the last bit of the school year.

There was much debate over whether this next picture contained 4 or 5 squares! When students decided that it was actually 5 squares, this opened up an entire new window of possibilities for them.

Realizing that they could also overlap squares was another huge realization.

This Let’s Make Squares activity resulted in some great communication and collaboration. There were many exciting lightbulb moments to witness! I’m excited to use it as a first week of school activity with my students this coming year!

## Free Download of Let’s Make Squares Activity

Let’s Make Squares (PDF) (35018 downloads )

Let’s Make Squares (Editable Publisher File ZIP) (13143 downloads )

After many, many requests, I have added an answer key with possible solutions. My students solved many of the puzzles differently than the solution provided in the answer key.

## More Fun Activities for the First Week of School

- Game of Sim
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- Circle Tic Tac Toe
- Ultimate Tic Tac Toe
- Left Center Right Dice Game
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- Let’s Make Squares Activity
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- Make Six Puzzle – Number Challenge
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- Two Buckets Puzzle

Could you also send me the possible answers? Thank you!!

Sent!

I was wondering what the solution is to “Let’s Make Squares”! Is there a key posted anywhere on your website? My students are LOVING it!

Emailed you!

Hi Sarah!

Wow this was so successful. Could you email me the solutions. I “think” I have it all figured out but would love to compare. There were so many deep conversations and strong arguments – What a great first day.

So great to hear! I just sent you an email with the solutions, Heather.

This looks like a lot of fun!

Thank you for sharing

would love a solution too!

sscheckman@springfieldschools.com

Hi Sarah! Did this activity with my students and it was such a success!

Hi Sarah! My Math 8 classes have been having a fantastic time with this exercise! I’d love to see your solutions to these!

This was an awesome activity! Thank you!

I appreciate this idea so much!

This is a great activity.

Thank you so much for sharing this idea!

Can I have the solutions please! When I downloaded the pdf, there was no solutions

alvarez.ch@beaconk12.org

Just emailed you, Christina!

This looks great.