Name: John Toney
Date: 4-20-15
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”
Review CH 5 SECTION 5-9
Students will work on review
worksheets with partner in
class and finish for
homework if necessary.
Tuesday
Date: 4/21
Day: A
“Do Now” – Have review
worksheets out and ready
for going over.
Wednesday
Date: 4/22
Day: B
Test on 5-5 through 5-9
“Mini Lesson”
Review CH 5 Section 5-9
Students will check answers
to review worksheets and
ask questions as needed.
Finish review
worksheets
Study for test Wednesday
None
Thursday
Date: 4/23
Day: A
“Do Now” –Graph linear
equation.
Friday
Date: 4/24
Day: B
“Do Now” –Graph quadratic
equation.
“Mini Lesson”
Give notes on graphing a
quadratic equation by
building a table. Show
students how to find an axis
of symmetry, y-intercept
and the vertex of a
quadratic equation.
Monitor students working
on guided practice
problems in notebooks.
“Mini Lesson”
Give answers to homework
for class to check. Give
notes on max and min
points on a quadratic
equation and show how to
use the formula “–b/2a”.
Monitor students working
on guided practice problems
in notebooks.
6-1 NB HW part 1

Assignments

Procedures
Instructional Procedures:
Monday
Date: 4/20
Day : B
“Do Now” – Get started on
review worksheets as soon
as they arrive to class
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
6-1 NB HW part 2