# Factoring Quadratics Question Stack Activity

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Today I want to share with you a factoring quadratics question stack activity that I created for my Algebra 2 students.

This year, we got off to a very rough start with factoring polynomials in Algebra 2. I had the brilliant idea that I would show my students how to factor using algebra tiles before we started using the box method for factoring.

My students were frustrated. I was frustrated. And, it was the equivalent of throwing away a day of class time. I wouldn’t even classify it as a productive struggle.

So, the next day, I won their hearts back by showing them the box method. And, I made them this factoring quadratics question stack activity to practice factoring with the box method to prepare for their factoring quiz.

When I started to teach factoring four years ago, I had no clue what I was doing. I had learned to factor in high school using guess and check.

Because algebra is one of my strengths, this method worked well for me. My students that first year had a ton of trouble with the check step in “guess and check” which meant they would guess right, multiply wrong, keep guessing, and never arrive at a final answer.

This frustration led me to try a variety of other ways to teach factoring. I taught the airplane method. I taught students to factor by grouping and split the middle term. I taught students to slide, divide, bottoms up.

My students rocked these methods, but their overall retention level was terrible.

The box method isn’t just a fancy trick for my students to memorize and then forget. It relies on the same understanding of the area model that they have been building throughout the unit while multiplying and dividing polynomials.

I tweaked the box method slightly this year, and my students have responded really positively. That’s a post for another day, though.

Today, I want to share a factoring quadratics activity that you can use no matter what method you use to teach factoring.

Never used a question stack with your students? I have another post that shares a free downloadable set of instructions for question stacks.

Each group got one pre-cut sheet of cards. One side has the factored trinomial. The other side has an unfactored trinomial.

They are not flash cards. The two versions on one card do not match up. They are made so that the cards form a loop of question, answer, new question, answer, new question, etc.

I distributed the cards to each group in their stack of red/yellow/green cups.

They set out the questions on their desk with the answers facing up. Since we were using this activity to practice factoring, the answers were the factored version.

You could also use this same deck to practice multiplying binomials. For this, students would start out with the unfactored version facing up.

Students chose one card at random to turn upside down and begin a stack on top of their cups.

They factored them on their dry erase boards or in their notebooks. I let my students use their interactive notebooks on all of their quizzes, so many of my students choose to put their practice problems in their notebooks so they can reference them later.

I’m finding that many of my students take better notes when they know that they get to use their notebook on their quizzes.

Once they find the answer, they locate it on the desk in the answer bank. This card is turned upside down and placed on top of the cup to display the new question.

I was worried with this factoring quadratics activity that students might just look at the answer bank and not try the factoring on their own, but this was not an issue at all.

As the factoring quadratics activity continues, the answer bank gets smaller and smaller. My favorite part of this practice structure is that it is self-checking.

If a group gets an answer that isn’t in the answer bank, they can’t move on until they figure it out. Sometimes, there is a really similar answer in the bank, and they can figure out what they did wrong.

Other times, they have to ask for help. That’s what the red/yellow/green cups are for.

This was the perfect number of questions to give students practice for the first half of class and give them time to take their quiz during the last half of class.

We have 52 minute periods.

## Free Download of Factoring Quadratics Question Stack Activity

Factoring Quadratics Question Stack (No GCF) (PDF) (2743 downloads )

Factoring Quadratics Question Stack (No GCF) (Editable Publisher File ZIP) (1255 downloads )

I created a new version of this factoring quadratics activity that includes some problems where students need to factor out the GCF first. You might also want to check out this factoring puzzle to give students some extra practice.

## More Resources for Teaching Quadratics

- Quadratic Formula Activities
- 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

## Make Your Own Question Stacks

Want to make your own question stack activity? I have created an easy to use printable question stack template that works perfectly every time. All you have to do is add your own questions!

## More Question Stack Activities

- Average Rate of Change Self-Checking Question Stack Activity
- Compound Inequalities Question Stack Activity
- Make Your Own Question Stack Template
- Order of Operations Question Stack Activity
- Evaluating Expressions Question Stack Activity – Advanced
- Distributive Property Question Stack Activity
- Question Stack Explanation Card
- Factoring Trinomials with GCFs Question Stack Activity
- Rationalizing the Denominator Question Stack Activity
- Adding and Subtracting Polynomials in Function Notation Question Stack Activity
- Operations with Radicals Question Stack Activity
- Evaluating Expressions Question Stack Activity – Basic

## More Activities for Teaching Polynomials

- X Puzzles Factoring 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

I'm looking forward to reading about factoring with the box method. I use the grouping/split the middle term method. But I'm always intrigued by other "non-trick" methods.

It's on my list to blog about!

This file can't be downloaded- when I click download nothing happens. That's happened to me the last couple tines I've tried to downloaded something from here. You are probably over your 10 GB bandwidth limit with box.com. That happened to me last month. Anyway, could you email me the file? miss.calcul8 at gmail. Please and thank you!

E-mail sent! Thanks for letting me know!

I used this activity today to practice multiplying polynomials. After a few, my students got good at recognizing the right answers, but that was a great way for them to check their work. I heard a lot of great discussions about integer and exponent rules whereas from a worksheet, they would have just moved on. Thanks for sharing 🙂

Glad it worked well!

Really looking forward to the post on factoring using the box method. I've used the box method to teach multiplication of polynomials, and my students loved it! It eliminates (for the most part) the careless error of forgetting to distribute the outside term to each term inside that often happens when students (and sometimes even I) apply the distributive property. Looking forward to the next blog post!!

Definitely need to work on this blog post! I'm sooooooooooo behind on blogging.

I love the activity but the method still seems like a bit of a gimmick. Can the students explain why they are finding the sum or difference of the product of the first and last factor? I love the fact that it reinforces the idea of area but I wish it could do so without the "middle step of mystery".

This is on my list of things I want to work on this summer!

I don't understand what the different colored cups are for! Please explain…

Can you email me the file for this? I'm having trouble downloading it. Email snelson12@hazelwoodschools.org

Email sent!

Thank you. 🙂

I love love love the box method! You can also use it to divide polynomials!! Best thing ever!

Can you email me this file it’s not downloading for me. sarabailey790@gmail.com

I think I was just able to fix the website issue that was preventing downloads.

Could you try downloading it again from the website so I can see if it is working now. If it still isn’t working, I will email it!