Name: John Toney
Date: 3-23-15
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
 *Square roots
 *Nth roots
 *Principal roots
 *Product property of radicals
 *Quotient property of radicals
 *Simplify radical expressions
 *Conjugates
 *Like radical expressions
 *Rational exponents
 *Extraneous solutions
 *Radical equations
 *Imaginary numbers
 *Complex numbers
 *Complex conjugates
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
 Rationalizing the denominator
 Like radical expressions
 Conjugates
 Radical equations
 Extraneous solutions
 Radical inequality
 Imaginary unit
 Pure imaginary number
 Complex number
 Absolute value
 Complex conjugates
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
“Mini Lesson” – Give guided
notes on finding roots of real
number expressions. Show
class examples and monitor
students beginning their
homework problems.
Tuesday
Wednesday
Date: 3/24
Day: B
Date: 3/25
Day: A
“Do Now” – Simplify roots of “Do Now” – Simplify roots of
variable expressions
variable expressions
Thursday
Date: 3/26
Day: B
“Do Now” – Simplify roots
of variable expressions
Friday
Date: 3/27
Day: A
“Do Now” – add or subtract
radical expressions
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Give
guided notes on the product
and quotient properties and
show how to simplify
radicals involving variable
expressions. Monitor
students beginning their
homework problems.
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Give
guided notes on writing
expressions with rational
exponents in radical form
and vise versa. And simplify
expressions in exponential or
radical form. Monitor
students beginning their
homework problems.
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Give
guided notes on writing
expressions with rational
exponents in radical form
and vise versa. And simplify
expressions in exponential
or radical form. Monitor
students beginning their
homework problems.
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Give
guided notes on adding and
subtracting radical
expressions and simplifying
fractions by multiplying by
the conjugate. Simplify first
before trying to add.
Monitor students beginning
their homework problems.
5-5 ws pg 265
5-6 Part 1
NB HW problems
1st 4 only
5-6 Part 1
NB HW problems
Finish the rest starting with
problem number 5
5-6 Part 2
NB HW problems
5-5 NB HW problems

Assignments

Procedures
Instructional Procedures:
Monday
Date: 3/23
Day : A
“Do Now” – Simplify
problems involving taking
roots of numbers and/or
variables
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections