Name: John Toney
Date: 3-2-15
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Mathematics
Length of Lesson: 25 days
STAGE I – DESIRED RESULTS
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
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.
Materials and Resources:
Textbook, notes
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
“Mini Lesson” Check
homework on factoring the
difference of two squares.
Give notes and practice
problems on factoring the
trinomials with the lead
coefficient equal to 1.
Monitor students working
on ws pg 535.
Tuesday
Date: 3/3
Day: A
“Do Now” – Factor a
trinomial into two binomials.
Wednesday
Date: 3/4
Day: B
“Do Now” – Factor a
trinomial into two binomials.
“Mini Lesson” Check
homework on factoring
trinomials p 535. Continue
working on factoring
trinomials with the lead
coefficient equal to 1.
Monitor students working
on factoring trinomials ws #
1-37.
“Mini Lesson” Check
homework on factoring
trinomials Give notes on
factoring trinomials with the
lead coefficient not equal to
1. Monitor students working
on factoring trinomials ws.
pg 541 # 1-18.
Complete ws on factoring
trinomials. Problems # 1-37
Back of page 535
Complete ws.pg 541
Problems # 1-18
Thursday
Date: 3/5
Day: A
“Do Now” – Factor a
trinomial into two
binomials.
Friday
Date: 3/6
Day: B
“Do Now” – Factor a
trinomial into two
binomials.
“Mini Lesson” Check
homework on factoring
trinomials. Continue
working on factoring
trinomials with the lead
coefficient not equal to 1.
Monitor students working
on factoring trinomials ws.
pg 543 # 1-24
“Mini Lesson” Check
homework on factoring
trinomials. Show class
through examples how to
reduce polynomial fractions
by factoring numeratior and
denominators then
cancelling out the common
factors. Monitor students
working on worksheet with
polynomial fractions.
Complete worksheet on
polynomial fractions.
Complete ws pg 535
Problems #1-21
Complete ws.pg 543
Problems # 1-24

Assignments

Procedures
Instructional Procedures:
Monday
Date: 3/2
Day : B
“Do Now” – Factor using
difference of two squares.
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections