Factoring Investigation & Factoring by Grouping Notes

Rated 4.78 out of 5, based on 9 reviews
9 Ratings
Math by the Mountain
Grade Levels
8th - 11th
Formats Included
  • PDF
5 + KEY + Terms of Use
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Math by the Mountain


Factoring quadratic trinomials can be very challenging for students and it is absolutely essential to their success in higher-level math classes. Making sure students receive a strong foundation of conceptual understanding about what factoring is and how it works is key to long-term understanding.

Included in this resource are:

  • Notes on how to factor by grouping (1 page) and a
  • Factoring investigation (4 pages)

I have found that the best method for teaching factoring quadratic trinomials is factoring by grouping. Students learn this method the easiest and remember it the longest, so it's a total win-win! This resource starts out with 8 examples of factoring by grouping to introduce that skill if your students are not already familiar with it.

From there, the factoring investigation focuses on students finding patterns that help them determine what the two factors will be. The main pattern students will focus on is that the two factors will add to b and multiply to a*c.

Once students discover this pattern, they are asked to pair up that newfound discovery with their knowledge of factoring by grouping, to fully factor a quadratic trinomial.

This investigation is perfect for introducing factoring or helping your students understand why the AC method of factoring works.

Do your students need extra help with factoring quadratic trinomials?

  • Try this 1-100 factor pairs chart if your students struggle with breaking down the "multiply number" (a*c) into its factor pairs to find the winning combo that also adds to b
  • Try this flowchart if your students need an extra helping hand to make it through a factoring problem, start to finish.


If you ever have an issue, please send me an email at mathbythemountain@gmail.com and give me a chance to fix it before leaving a review! I always love having happy customers.


©Math by the Mountain. Products provided by Math by the Mountain are intended for the use of one teacher only. All rights reserved. This purchase is non-transferable and is intended for single-classroom use only. If multiple teachers in a department, building, or district wish to use this product, then a corresponding number of licenses must be purchased. No part of this product may be reproduced, distributed, or shared with physical or electronic copies. Furthermore, under no circumstances can any product or portion of a product purchased from the Math by the Mountain TPT store be posted on the internet, even for personal classroom websites.

Total Pages
5 + KEY + Terms of Use
Answer Key
Teaching Duration
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