# Factoring and Multiplying Polynomials Stations Activity

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### Description

These factoring and multiplying polynomials math stations delve into modeling and making sense of factoring. Students will model multiplying and factoring polynomials with algebra tiles. They will then use this information to multiply and factor without models.

**The following stations are included:**

• Modeling Areas of Polynomials: Given a polynomial (area of a rectangle) students will model the polynomials with algebra tiles to determine the factors (side lengths of the rectangle). 4 trinomials are given with a leading coefficient of one, and 3 polynomials with more than three terms are given as a challenge.

• Modeling Side Lengths of Polynomials: Given polynomials factors (side lengths of a rectangle) students will model the polynomials with algebra tiles to determine the product (area of the rectangle). 4 problems include finding the product of two binomials. 3 problems with multiplying a binomial by a trinomials or multiplying two different variables together are included as a challenge.

• Multiplying Polynomials: Students will multiply polynomials together to determine the product. 4 problems include finding the product of two binomials. 3 problems with multiplying a binomial by a trinomials or multiplying two different variables together are included as a challenge.

• Factoring Polynomials: Students will factor polynomials. 4 trinomials are given with a leading coefficient of one, and 3 polynomials with more than three terms are given as a challenge.

I suggest having students complete the modeling stations before the non-modeling stations as this will help students to make sense of the algebra behind factoring and multiplying polynomials.

Each station should take between 15-20 minutes. These would also be great to use as homework, group work or assessments.

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