Lesson Plan

Factor a polynomial completely over the integers, choosing the technique from its term count and structure, or determine that it does not factor

Extract the greatest common factor, including a negative GCF and a variable GCF at its lowest power

Factor a difference of two squares or a perfect-square trinomial, including squares disguised by degree or by a common factor, and recognize a sum or difference of cubes

Factor a trinomial, with leading coefficient 1 by the sum-product search and otherwise by splitting the middle term and grouping

Factor a four-term polynomial by grouping

"Make strategic use of algebraic structure and the properties of operations to identify and create equivalent expressions: • by factoring polynomials limited to finding a common factor, rewriting binomials that represent a difference of two squares, and rewriting trinomials as the product of two binomials. • including rewriting simple rational expressions, rewriting expressions with rational exponents in radical form, and factoring polynomials not included in the preceding bullet." "Make strategic use of algebraic structure and the properties of operations to identify and create equivalent expressions by factoring polynomials limited to finding a common factor, rewriting binomials that represent a difference of two squares, and rewriting trinomials as the product of two binomials."