Grades: 8‒9

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Prerequisites: Students use grids of virtual algebra tiles to interpret and solve binomial multiplication problems of the form

(*a*x + *b*)(*c*x + *d*), where *b* and/or *d* is negative. Students build grids whose dimensions correspond to the binomial factors and then find and add the partial products to determine the overall product.

OBJECTIVES

- Students will find the products of two binomials using a grid of algebra tiles.
- Students will use virtual algebra tiles to expand binomial multiplication problems of the form (
*a*x +*b*)(*c*x +*d*), where*b*and/or*d*is negative. - Students will relate a multiplication problem represented in numerical form to the same problem represented with algebra tiles.

COMMON CORE CONNECTIONS

Mathematical Practices

(1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (5) Use appropriate tools strategically; (7) Look for and make use of structure.

Content Standards

A-APR; A-SSE3a

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