Lesson: 83 Identify and Describe Polynomials
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Lesson Objective
SWBAT Identify and Describe Polynomials
Lesson Plan
Teacher: Lin/Kerrigan
Course: 8^{th} 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: 83
Scope and Sequence:
81: Multiply Monomials
82: Divide Monomials
83: Negative and Zero Exponents
84: Identify and Describe Polynomials
85: Add and Subtract Polynomials
86: Find the product of monomials and polynomials
87: Divide polynomials by monomials
88: Multiply Polynomials
89: Special Products
810: 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 #19 in partners

MENTAL MATH



Agenda: Outline of your lesson
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
Coldcall: 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)
2^{nd} term? How do you know?
3^{rd} term? 4^{th} 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 12 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?



Homework
83



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

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