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.
I intentionally do not make answers to the printable math puzzles I share on my blog available online because I strive to provide learning experiences for my students that are non-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 firstname.lastname@example.org 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
- Factoring Activities
- Speedy Squares Activity for Quadratic Regression
- X Puzzles Factoring 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