woodland hills secondary lesson plans

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Name: John Toney
Date: 3-9-15
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
trinomials. Give notes on
factoring the sum and
difference of cubes.
Monitor students working
on worksheet involving sum
and diff. of cubes.
Finish sum and diff of cube
worksheet.
Tuesday
Date: 3/10
Day: B
“Do Now” – Factor a
trinomial into two binomials.
“Mini Lesson” Check
homework on factoring sum
or difference of cubes.
Show class through
examples how to reduce
polynomial fractions by
factoring numeratior and
denominators then
cancelling out the common
factors. Work on pg 258 1st
column with students for
practice. Assign 2nd column
for homework.
Finish ws pg 258 2nd column
Wednesday
Date: 3/11
Day: A
“Do Now” – Factor a poly.
Thursday
Date: 3/12
Day: B
“Do Now” – Factor a poly.
Friday
Date: 3/13
Day: A
“Do Now” – Factor a poly.
“Mini Lesson” Check
homework on ws pg 258.
Students will work on 3rd
column in class and then ws
pg 257.
“Mini Lesson” Check
homework on ws pg 258.
Students will work on
worksheets involving all
types of factoring. Monitor
students working on ws. Pg
259.
“Mini Lesson” Check
homework on ws pg 259.
Students will work on
worksheets involving all
types of factoring. Monitor
students working on ws. Pg
260.
Finish ws pg 259
Finish ws pg 260
Finish ws pg 257 and
ws pg 258 3rd column

Assignments

Procedures
Instructional Procedures:
Monday
Date: 3/9
Day : A
“Do Now” – Factor a
trinomial into two binomials.
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
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