# Lesson: 8-3 Identify and Describe Polynomials

665 Views
0 Favorites

### Lesson Objective

SWBAT Identify and Describe Polynomials

### Lesson Plan

 Teacher: Lin/Kerrigan Course:    8th Math Date: Feb 24, 2009 Objective:  SWBAT identify a polynomial, find the degree and arrange the terms in order. Unit Title: 8- Polynomials Objective Number: 8-3   Scope and Sequence: 8-1: Multiply Monomials 8-2: Divide Monomials 8-3: Negative and Zero Exponents 8-4: Identify and Describe Polynomials 8-5: Add and Subtract Polynomials 8-6: Find the product of monomials and polynomials 8-7: Divide polynomials by monomials 8-8: Multiply Polynomials 8-9: Special Products 8-10: Scientific Notation Materials: do now, cc, packet, HW, EX, clickers, ALGEBRA TILES Vocabulary: monomial, binomial, trinomial, degree, term, coefficient Do now: 6 spiral review questions Purpose of the do now:  xCumulative Review _____________ â–¡Activate Prior Knowledge â–¡Introduce Lesson â–¡Other ___________________ Total Recall / Hook: How will you transition from the Do Now into today’s objective? How will you tie your recall to the importance of today’s objective?   Algebra Tiles Lab: Review what the pieces represent Model how to represent with algebra tiles (draw on board) Have students complete #1-9 in partners MENTAL MATH Agenda: Outline of your lesson DN/CC/Rev (20) Lab (25) Lesson (20) NYT (15) IP (20) 6.      Share (5 ) 7.      Exit Ticket (5) Intro to NM   Example 1: Write in examples of each type of polynomial. Then label the degree of each polynomial below.   Example 2:  What is the problem asking us to do in your own words? What does the “shaded region” mean? What are the tw things we need to know to find the area of the shaded region? What is the formula for the area of a rectangle? So what is the area of the larger rectangle? What is the area of the smaller rectangle? What am I going to do with those two areas? What operation are we going to do to find the area of the shaded region? So what will our expression look like? Can we simplify?  What type of polynomial is this?   Now you try – circle/square – let students try on their own (Includes algebra to increase rigor)   Notes: Define degrees of monomials and polynomials Cold-call: how do we measure the degrees of a monomial?   Example 3: degrees of monomials and polynomials   Fill in the table – model the first, then let students finish the next two rows (cold call to fill in as a class) How many terms does this polynomial have? What are those 4 terms? Be specific. (Include signs). The degree of the first term is 2 because the sum of the exponents of its variable is 2. What are my variables in my first term? I don’t see any exponents on my variables. Where are they? What are they? (Invisible 1) 2nd term? How do you know? 3rd term? 4th term? What is the degree of this polynomial? Why is it not 6?   Have them first the rest of the table by themselves and double check with partner after 3 minutes of “Now You Try” time.   Example 4:  What does ascending mean? Descending?  Which term has the greatest degree? How do you know? Label the degrees of the different terms BEFORE you begin to arrange them in the descending/ascending order. Then what?  Then what?  So to write it in descending order, what would we have to do?   ·         mention that some problems might have x and y so it will tell you which one to sort by   NOW YOU TRY – partners   IP- In textbook à notebook IP   *clickers – Kuta (don’t guess – show the steps in your notebook, off to the side, etc. problems without work shown will receive a demerit)   interrupt after 10 mins – review 1-2 most commonly missed problems   IP from textbooks Closure: How will you close the lesson?    Review some problems from IP Have students summarize for MAPP merits Assessment: How will you assess mastery of the objective?     Exit ticket Homework   8-3 Anticipated Challenges   -Having the kids represent the algebra tiles correctly -The kids not understanding why the degree of a polynomial is not the sum of all the degrees of all the monomials

Reflection: The trickiest part of this lesson is understanding that the degree of a monomial is the sum of all exponents, but the degree of a polynomial is just the degree of the highest single monomial (not the sum of each term/monomial). Find some way to make that “sticky”.

### Lesson Resources

 8 3 packet 249 8 3 packet v2 shortnened 201 8 3 HW 199 8 3 EX 195 8 3 DN 175