ALEX Classroom Resources

ALEX Classroom Resources  
   View Standards     Standard(s): [MA2015] AL2 (9-12) 13 :
13 ) Use the structure of an expression to identify ways to rewrite it. [A-SSE2]

Example: See x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 - y2)(x2 + y2).

[MA2015] AL2 (9-12) 18 :
18 ) Prove polynomial identities and use them to describe numerical relationships. [A-APR4]

Example: The polynomial identity (x2 + y2)2 = (x2 - y2)2 + (2xy)2 can be used to generate Pythagorean triples.

Subject: Mathematics (9 - 12)
Title: Algebra II Module 1, Topic A: Polynomials--From Base 10 to Base X

The focus in Module 1, Topic A is on polynomial arithmetic and how it is analogous to operations with integers. The module opens with a lively lesson that engages students in writing polynomial expressions for sequences by examining successive differences. Later in this topic, students gain fluency with polynomial operations and work with identities such as a2-b2=(a+b)(a-b). The topic closes with an emphasis on the use of factoring and the special role of zeros when solving polynomial equations.

ALEX Classroom Resources: 1

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