Factoring trinomials GFC first

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Objective

SWBAT factor trinomials by factoring out a GCF first.

Big Idea

Blow students' minds by combining their knowledge of GCFs while factoring trinomials into binomials. It's also a good practice and consolidation day. :)

Lesson Author

Jeff Li MTP

New York, NY

Grade Level

Eighth grade

Subjects

Math

Algebra

Standards

HSA-SSE.A.2

Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).

MP2

Reason abstractly and quantitatively.

MP6

Attend to precision.

MP7

Look for and make use of structure.

Warm-up

10 minutes

Each day, students complete a Warmup that usually consists of spiraling the previous day's material, in addition to older material. Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

Today's warm-up provide a "mixtape" of sorts to give kids a small amount of review daily that goes a LONG way toward retention of concepts.

Task #3 in particular is also a way to extend content. Kids have learned how to factor polynomials - can they recognize that this is necessary in an unfamiliar situation? The more "angles" from which students are able to access and be exposed to content, the stickier and deeper their understanding becomes.