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Factoring Investigation & Factoring by Grouping Notes
Factoring Investigation & Factoring by Grouping Notes
Factoring Investigation & Factoring by Grouping Notes
Factoring Investigation & Factoring by Grouping Notes
Factoring Investigation & Factoring by Grouping Notes
Factoring Investigation & Factoring by Grouping Notes
Factoring Investigation & Factoring by Grouping Notes
Factoring Investigation & Factoring by Grouping Notes
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What others say

"This resource provided instructional materials, strategies for teaching, independent practice for students, and more! Loved it! "
star
Katherine J.
"Investigations really help the kids understand concepts from the inside out. I combined this with some other resources to create self paced lesson for my home teaching kids. Loved it. "
star
Michele M.

Description

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.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Factoring Investigation & Factoring by Grouping Notes

Math by the Mountain
3.3k Followers
$3.50

Highlights

Digital downloads
Subjects icon
Subjects
Pages
5 + KEY + Terms of Use
Answer Key
Included

What others say

"This resource provided instructional materials, strategies for teaching, independent practice for students, and more! Loved it! "
star
Katherine J.
"Investigations really help the kids understand concepts from the inside out. I combined this with some other resources to create self paced lesson for my home teaching kids. Loved it. "
star
Michele M.

Description

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.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

4.9
Rated 4.89 out of 5, based on 18 reviews
18
ratings
5
16
4
2
3
0
2
0
1
0
Mostly used with 8th and 9th grades
Reviews
7
6
4
2
8th
9th
10th
11th
All verified TPT purchases
A strong factoring resource
Rated 5 out of 5
August 18, 2025
This resource provided instructional materials, strategies for teaching, independent practice for students, and more! Loved it!
Katherine J.
110 reviews • Texas
Rated 5 out of 5
February 12, 2025
Investigations really help the kids understand concepts from the inside out. I combined this with some other resources to create self paced lesson for my home teaching kids. Loved it.
Michele M.
63 reviews
Rated 5 out of 5
August 6, 2024
This is laid out very well! I love how the students discover how factoring trinomials with a coefficient > 1 works by starting them out with factoring polynomials with four terms by grouping and having them notice how the middle terms and the first and last terms are related!
Jenny F.
97 reviews
Grades taught: 10th
Rated 5 out of 5
July 30, 2024
Great notes and visuals on the process of factoring.
Paula Plum
(TPT Seller)
234 reviews
Grades taught: 11th
Rated 5 out of 5
June 24, 2024
I have used this resource several years in a row now, it is so helpful to get kids to see the breakdown of factoring!!
Lizzie C.
54 reviews
Grades taught: 8th, 9th, 10th
Rated 5 out of 5
June 12, 2024
10/10 for me. I always struggle with what to teach and how to teach factoring and this was a great way to introduce the topic and explore the foundations of factoring.
Monique D.
109 reviews
Grades taught: 9th
Student populations: Emerging bilinguals
Rated 5 out of 5
May 7, 2024
This worked great with my algebra 2 students. Thank you!
Jessica M.
835 reviews
Grades taught: 10th, 11th
Rated 5 out of 5
May 17, 2023
Great guided notes that all encourage inquiry and discovery of the topic before formalizing it.
Christine W.
161 reviews
Grades taught: 8th

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