UNIT 5 POLYNOMIAL FUNCTION LESSON 5 6 CLOSURE

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UNIT 5: POLYNOMIAL FUNCTION LESSON 5. 6: CLOSURE PROPERTY

UNIT 5: POLYNOMIAL FUNCTION LESSON 5. 6: CLOSURE PROPERTY

Do Now Add, subtract and multiply the following polynomials:

Do Now Add, subtract and multiply the following polynomials:

ACT Practice

ACT Practice

Objectives Students would be able to: u Compare functions that are closed under addition,

Objectives Students would be able to: u Compare functions that are closed under addition, subtraction, and multiplication to functions that are not closed under these operations. u Analyze the meaning for polynomials to be closed under an operation. u Compare integer and polynomial operations. Mastery is evidenced by scoring a 3 out of 4 on the Exit Slip

Common Core Standards A-APR Arithmetic with Polynomials and Rational Expressions Perform arithmetic operations on

Common Core Standards A-APR Arithmetic with Polynomials and Rational Expressions Perform arithmetic operations on polynomials 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 multiply polynomials.

Terms to Know

Terms to Know

Graphs of polynomials are: 1. Smooth 2. Continuous 3. Increase or decrease to infinity

Graphs of polynomials are: 1. Smooth 2. Continuous 3. Increase or decrease to infinity as x approaches positive of negative infinity

Describe the similarities between polynomial and integer operations.

Describe the similarities between polynomial and integer operations.

Binder Check • • Calendar – October/ November Course Syllabus Terms to Know –

Binder Check • • Calendar – October/ November Course Syllabus Terms to Know – 5. 1, 5. 2, 5. 3, 5. 4 and 5. 6 Families of Cubic Functions –worksheet Skill Practice: 5. 1, 5. 2, 5. 3, 5. 5, and 5. 6 Exit Slip: 5. 1 , 5. 2, 5. 3 (part 2) and 5. 6 Study Guide

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YMBOIKO polynomial Expression Variable polynomial X X polynomialYMBOIKO polynomial Expression Variable polynomial X X polynomial
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Polynomial Classes 1 class Polynomial public Polynomial PolynomialconstPolynomial Classes 1 class Polynomial public Polynomial Polynomialconst
Digital Lesson Polynomial Functions A polynomial function isDigital Lesson Polynomial Functions A polynomial function is
Digital Lesson Polynomial Functions A polynomial function isDigital Lesson Polynomial Functions A polynomial function is
5 3 Polynomial Functions A polynomial function is5 3 Polynomial Functions A polynomial function is
Polynomial Functions Polynomial function The coefficients are realPolynomial Functions Polynomial function The coefficients are real
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Polynomial Time Reductions Polynomial Computable function For anyPolynomial Time Reductions Polynomial Computable function For any
EVALUATING POLYNOMIAL FUNCTIONS A polynomial function is aEVALUATING POLYNOMIAL FUNCTIONS A polynomial function is a