Name: John Toney
Date: 2-16-15
Lesson Topic (Modules, if applicable):
Unit 5 : Polynomials

*Scientific Notation

*Multiplying Monomials

*Dividing Monomials

*Powers of Powers

*Adding Polynomials

*Subtracting Polynomials

*FOIL Binomials

*Multiplying Polynomials

*Dividing a Polynomial by a Monomial

*Dividing Polynomials

*Factoring Out a GCF

*Factoring by Grouping

*Factoring a Trinomial a =1

*Factoring a General Trinomial

*Difference of Squares
Content Area: Mathematics
Length of Lesson: 25 days
STAGE I – DESIRED RESULTS
Big Ideas:
KEYSTONE ANCHORS:

A2.1.1.1 Represent and/or use imaginary numbers in equivalent forms (e.g., square roots and exponents).

A2.1.2.1 Use exponents, roots, and/or absolute values to represent equivalent forms or to solve problems.

A2.1.2.2 Simplify expressions involving polynomials.
ELIBIBLE CONTENT:

M11.D.2.2.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial X a trinomial).

M11.D.2.2.1 Express numbers and/or simplify expressions using scientific notation (including numbers less than 1).

M.11.A.1.2.1 Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).

M.111.A.1.2.2 Find the Greatest Common
Factor (GCF) for sets of monomials and/or factor polynomial expressions using the greatest common monomial factor.

M.11.A.1.2.3 Simplify algebraic fractions

M11.A.2.2.2 Simplify expressions involving multiplying with exponents, powers of powers, and powers of products (postive exponents only).
Understanding Goals (Concepts):
Functions and multiple representations
Algebraic properties and processes

Express numbers in scientific notation

Apply the laws of exponents to simplify

 expressions
Add, subtract, multiply, and divide polynomials
Factor polynomials using various factoring techniques, including

Finding Greatest Common Factor

Difference of Two Squares

Sum and Difference of Two Cubes

Perfect Square Trinomials

General Trinomials

Factoring by grouping

Student Objectives (Competencies/Outcomes):
Students will be able to:

Represent functions (linear and non-linear) in multiple ways, including tables, algebraic rules, graphs, and contextual situations

Make connections among these representations.

Choose the appropriate functional representation to model a real world situation

Solve problems relating to that situation.
 Use algebraic properties and processes in mathematical situations and apply them to solve real world problems.
Essential Questions:

How can we show that algebraic properties and processes are extensions of arithmetic properties and processes, and how can we use algebraic properties and processes to solve problems?

How do you decide which functional representation to choose when modeling a real world situation, and how would you explain your solution to the problem?
Vocabulary:
 monomial
 constant
 coefficient
 degree
 power
 standard notation
 scientific notation

Polynomial

Terms

like terms
 trinomial
 binomial
 Factor, greatest common factor
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Students will demonstrate adequate understanding via a chapter test.
Formative Assessments:
Pre-assessments, open-ended questions, Think-Pair-Share
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend math lab
Materials and Resources:
Textbook, notes

Instructional Procedures*:
Monday
Date: 2/16
No School
P residents Day
Tuesday
Date: 2/17 Day: B
“Do Now” – Have review worksheets out and ready for going over.
“Mini Lesson”
Review CH 5 Section 1-3
Students will check answers to review worksheets and ask questions as needed.
Wednesday
Date: 2/18 Day: A
“Do Now” – Begin test
“Mini Lesson”
Test CH 5
Students will take test on
CH 5 section 1-3 then complete vocabulary worksheet for homework
Study for test Thursday Vocabulary worksheet
Thursday
Date: 2/19 Day: B
“Do Now” – Divide polynomials.
“Mini Lesson” Introduce the 4 types of factoring.
Show factoring flow chart and then focus only on GCF.
Have class fill out notes and examples to practice.
Complete worksheet pg 529
Problems #1-12
Friday
Date: 2/20 Day: A
“Do Now” – Factor out a
GCF and rewrite as a product.
“Mini Lesson” Check homework problems on
GCF. Give notes and practice problems on factoring by grouping.
Monitor students working on ws pg 529 problems 13-
18.
Complete worksheet pg 529
Problems #13-18
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections