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.
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