Polynomial+Unit


 * Polynomial Unit**
 * Goal:** Students will be able to add, subtract and multiply polynomials.
 * 1) Students will distinguish between linear and non-linear expressions.
 * 2) Students will distinguish between the different variables in the expressions (i.e., coefficients, exponents).
 * 3) Increase the number of terms in the expressions.

__Integrate and mention Practice Standards throughout the learning cycles:__


 * 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.
 * 4) Model with mathematics.
 * 5) Use appropriate tools strategically.
 * 6) Attend to precision.
 * 7) Look for and make sure of structure.
 * 8) Look for and express regularity in repeated reasoning.

__Content Standard:__


 * A.APR.1:** Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and polynomials.

Goal 1: understand the structure of a polynomial.

Objectives:
 * Components
 * Exponents
 * Coefficients
 * Integers


 * Activity: Introduction to Polynomial Unit**




 * Task #1: Lost in Space**


 * Launch**: Use the components to design three polynomials. Provide the students with the building blocks of a polynomial and allow them to create their own polynomials using the provided integers, exponents variables, coefficients and operators (addition and subtraction) on the Lost in Space worksheet.


 * Explore**: Students are put into groups of two or three and are given approximately two minutes to discuss their polynomials.


 * Discuss:** Select students will be invited to share their polynomials with the class. At this time the teacher will discuss coefficients, exponents, variables, and operations (addition, subtraction, and multiplication).


 * Task #2:**


 * Launch:** Students will create two of their own polynomials without any information. Review what happens when you subtract a negative number and introduce the concept of like terms.


 * Explore**: Students will exchange their polynomials through the crumple and toss method. Using the "new" polynomials, they will add them together.


 * Discuss:** Have each group discuss what they came up with, how it differed from their own polynomials and any observations that had concerning the combining of like terms and the order of those coefficient numbers.