Special products involving polynomials

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SWBAT determine patterns in multiplying special cases.

Big Idea

Do you see a beautiful pattern emerging? Provide students with the opportunity to uncover the patterns when squaring binomials and other special cases.


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.

For a video narrative about how I structure each lesson, and how the warm-up fits in watch my Lesson Structure video.

In today's warm-up, I wanted to re-focus on standards that are outside of the 8th grade common core, but part of the Algebra I standards.  The tasks have progressed in difficulty over the last two days, which lends itself nicely to both review and extension as each day passes.  Today, the tasks have substitution of negative numbers with exponents, always a source of mistakes for 8th graders.  I like using the multiple-choice format because it allows us to examine the three "distractor" answers to uncover common mistakes and misconceptions.

Play of the Day

40 minutes


10 minutes


15 minutes

The instructions for tonight's homework emphasize working efficiently using the patterns that were observed during the class investigations:

13 - 5 HW142 Special products

As usual, the answers are provided so that students can check their work.