Lesson: 8-3 Identify and Describe Polynomials

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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
  1. DN/CC/Rev (20)
  2. Lab (25)
  3. Lesson (20)
  4. NYT (15)
  5. 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

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