Factoring Quadratics Practice Activity (When a = 1)

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I want to share a factoring quadratics practice activity I created for my Algebra 2 students.

In the Oklahoma math standards, students are first exposed to factoring quadratics in Algebra 1. However, they are only exposed to factoring quadratics where the leading coefficient is 1. These are called monic quadratics.

Thus, my Algebra 2 students should already be fluent with factoring monic quadratics as we begin to factor more complicated quadratics. But, this is not always the case. For one thing, it’s usually been about a year and a half since students have had to factor in Algebra 1. Secondly, the Oklahoma standards are weird in that students factor quadratics in Algebra 1 but don’t really do anything else with them. They don’t graph quadratics. They don’t solve equations with quadratics. This leads to factoring being taught as a sort-of one-off topic that doesn’t get practiced over and over throughout the course .

I say all this to explain why I’m spending time on factoring monic quadratics in Algebra 2. Most would use this factoring quadratics practice activity in an Algebra 1 class..

Pairs of students were given a Factoring Monic Quadratics Mat which featured six different quadratics to be factored. Ideally, I would have laminated these, but I was running out of time.

I did laminate the factors that students had to choose from.

MATH = LOVE RECOMMENDS…

A laminator is a MUST-HAVE for me as a math teacher! I spent my first six years as a teacher at a school with a broken laminator, so I had to find a way to laminate things myself.

I’ve had several laminators over the years. I currently use a Scotch laminator at home and a Swingline laminator at school.

I highly recommend splurging a bit on the actual laminator and buying the cheapest laminating pouches you can find!

I printed them on colored paper to make them stand out on the mat.

In pairs, students tried to use the choices in the answer bank to factor each quadratic.

For example, the first quadratic can be factored as (x – 1)(x – 2).

And, that’s all there really is to the activity. It’s nothing extraordinary, but it was a great way to measure where my students’ factoring skills were.

If I were to do this factoring quadratics practice activity again, I would make multiple factoring mats that used the same set of factoring cards. Then, when a group finished early, I could automatically give them some new challenges to complete.

I’m currently planning for a new prep for next year, so this isn’t at the top of my to do list. Bill Carrera shared some sets he created on Twitter after I posted some photos of my students completing this activity. Be sure to check them out!

It was interesting to see my students take different approaches to these puzzles. Some tackled the puzzles in order. Others jumped around. A surprising number of them fell for my distractor choices which told me two things. First, I picked good distractors. Secondly, it was a very good thing we were spending time practicing these factoring problems in class.