Algebra+and+Number+4

4. Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically. [CN, R, V] (It is intended that the emphasis of this outcome be on binomial by binomial multiplication, with extension to polynomial by polynomial to establish a general pattern for multiplication.)

4.1 Model the multiplication of two given binomials, concretely or pictorially, and record the process symbolically. 4.2 Relate the multiplication of two binomial expressions to an area model. 4.3 Explain, using examples, the relationship between the multiplication of binomials and the multiplication of two-digit numbers. 4.4 Verify a polynomial product by substituting numbers for the variables. 4.5 Multiply two polynomials symbolically, and combine like terms in the product. 4.6 Generalize and explain a strategy for multiplication of polynomials. 4.7 Identify and explain errors in a solution for a polynomial multiplication.