I shared this shared factors puzzle on twitter recently, but I thought I should share it on my blog as well.

Each side of the square shares a factor with each of its neighboring sides. Determine the missing values that make this statement true.

This would be a great task for including in a polynomials or quadratics unit. I look forward to seeing how others incorporate it into their classrooms.

## Adaptation by John Golden

John Golden brilliantly suggested that this problem could be reframed using an area model. I love the box method for polynomials, so I found this approach to be really satisfying.

If you like this approach, check out John Golden’s Geogebra adaptation.

## Puzzle Solutions

I intentionally do not share solutions to the puzzles I feature on my website because I strive to provide learning experiences for my students that are not google-able. I would like other teachers to be able to use these puzzles in their classrooms as well without the solutions being easily found on the Internet.

However, I do recognize that us teachers are busy people and sometimes need to quickly reference an answer key to see if a student has solved a puzzle correctly or to see if they have interpreted the instructions properly.

If you are a teacher who is using these puzzles in your classroom, please send me an email at sarah@mathequalslove.net with information about what you teach and where you teach. I will be happy to forward an answer key to you.

## More Resources for Teaching Quadratics

- 15 Fun Factoring Activities for Algebra
- Speedy Squares Activity for Quadratic Regression
- X Puzzles Review Game
- Quadratic Area Puzzles
- Factoring Puzzle for Quadratic Trinomials
- Shared Factors – A Quadratics Puzzle
- Factoring Quadratics Practice Activity (When a = 1)
- If the IRS had discovered the quadratic formula…
- Area Model Puzzles from Christie Bradshaw
- ZERO Game to Introduce Factoring Quadratics
- Vertex Form of a Quadratic Card Sort Activity
- Factoring Quadratics Foldable

## More Activities for Teaching Polynomials

- X Puzzles Review Game
- Quadratic Area Puzzles
- Shared Factors – A Quadratics Puzzle
- Naming Polynomials Poster
- “Polly”nomial
- Naming Polynomials Speed Dating Activity
- Dividing Polynomials Using the Box Method Puzzles
- Area Model Puzzles from Christie Bradshaw
- Adding and Subtracting Polynomials Graphic Organizer
- Writing Polynomials in Standard Form Foldable
- Factoring Quadratics Foldable
- Multiplying Polynomials Foldable
- Naming Polynomials Practice Sheet
- Polynomial or Not Color Coding Activity
- Polynomial Frayer Model Template
- Roots Solutions Zeros X-Intercepts Posters
- Multiplying Polynomials Egg Hunt Activity
- Human Polynomials Activity
- Introducing Algebra Tiles to Students
- Building and Naming Polynomials Activity
- Factoring Trinomials with GCFs Question Stack Activity
- Factoring Polynomials Using the Box Method Directions
- Looking for Patterns in Factoring Quadratics
- Factoring Quadratics Question Stack Activity
- Dividing Polynomials Using the Box Method Activity
- Dividing Polynomials Using the Box Method Foldable
- Multiplying Polynomials Using the Box Method Foldable
- Adding and Subtracting Polynomials Notes
- Parts of a Polynomial Practice Book
- Standard Form of a Polynomial Interactive Notebook Page
- Factoring out the GCF of a Polynomial Foldable
- Factoring vs Distributing Card Sort Activity
- Factoring Quadratics Using the Box Method Foldable
- Naming Polynomials Graphic Organizer
- Factoring Quadratics Graphic Organizers
- Adding and Subtracting Polynomials Activity

Rafael

Thursday 25th of November 2021

Could you explain how this works please. Explain the answer

Sarah Carter

Monday 29th of November 2021

Sorry, I do not share answers with students.