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Algebra II Module 1, Topic A: Polynomials--From Base 10 to Base X

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Algebra II Module 1, Topic A: Polynomials--From Base 10 to Base X


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Type: Lesson/Unit Plan


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.

Content Standard(s):
MA2015 (2016)
Grade: 9-12
Algebra II
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 (2016)
Grade: 9-12
Algebra II
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.

Tags: equations, expression, polynomial
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There are eleven lessons on this topic.

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Author: Hannah Bradley