WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name _Irene Runco________ Date 3.16.15 _
Ed line was updated this week X
My class webpage was updated this week. X
Length of Lesson __25 days_
Content Area Algebra 2 _
STAGE I – DESIRED RESULTS
LESSON TOPIC:
BIG IDEAS:
Unit 5: Polynomials:
Relations and functions are mathematical relationships that
can be represented and analyzed using words, tables, graphs,
and equations.
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Monomials and operations
Polynomials, adding and subtracting
Dividing polynomials
Factoring polynomials
Roots and real numbers
Radical expressions
Rational exponents
Radical equations
Complex numbers
Families of functions exhibit properties and behaviors that
can be recognized across representations. Functions can be
transformed, combined, and composed to create new
functions in mathematical and real world situations.
KEYSTONE ANCHORS:
A2.1.1.1 Represent and/or use imaginary numbers in equivalent
forms (e.g., square roots and exponents).
A2.1.1.2 Apply the order of operations in computation and in
problem‐solving situations.
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.
A2.1.3.1 Write and/or solve non‐linear equations using various
methods.
A2.2.1.1 Analyze and/or use patterns or relations.
A2.2.2.1 Create, interpret, and/or use polynomial, exponential,
and/or logarithmic functions
and their equations, graphs, or tables.
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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.A.1.1.3 Express numbers and/or simplify expressions
using scientific notation (including numbers less
than 1).
M11.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).
M11.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.
M11.A.1.2.3 Simplify algebraic fractions.
M11.A.2.2.2 Simplify expressions involving multiplying with
exponents (e.g., x6  x7 = x13), powers of powers (e.g.,
(x6)7=x42) and powers of products (2x2)3=8x6 (positive
exponents only).
UNDERSTANDING GOALS (CONCEPTS):
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Basic operations with monomials,
polynomials, radical expressions, and
complex numbers
Using the distributive property
Using properties of exponents
Using properties of radicals
Solving polynomial equations by
factoring
Solving radical equations
Solving radical inequalities
ESSENTIAL QUESTIONS:
How can you extend algebraic properties and processes to
quadratic, exponential and polynomial expressions and
equations and then apply them to solve real world problems?
What are the advantages/disadvantages of the various
methods to represent exponential functions (table, graph,
equation) and how do we choose the most appropriate
representation?
STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):
Students will be able to:
1. Express numbers in scientific notation.(2 days )
2. Apply the laws of exponents to simplify expressions.
(2 days)
3. Add, subtract, multiply, and divide polynomials. (6
days)
4. Factor polynomials using various factoring techniques,
including (10 days)
a. Finding Greatest Common Factor
b. Difference of Two Squares )
c. Sum and Difference of Two Cubes
d. Perfect Square Trinomials )
e. General Trinomials
i. c > 0
ii. c < 0
iii. a  1
f. Factoring by grouping )
5. Review, quizzes, and test ( 4 days)
VOCABULARY
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Monomial (2)
Binomials (2)
Polynomial (2)
FOIL (1)
Conjugate (3)
Complex number (2)
sy nthetic division (3)
rationalizing the denominator (3)
extraneous solutions (3)
PERFORMANCE TASK:
Students will participate in
1. class discussions,
2. guided notes & practice,
3. computer work,
4. whiteboard activities
STAGE II – ASSESSMENT EVIDENCE
OTHER EVIDENCE:
 Daily warm up or exit polls ,
 homework,
 Keystone Diagnostic Tool,
 Study Island and Glencoe.unit tests,
 quizzes,
 formative assessments.
 Student work in portfolio
STAGE III: LEARNING PLAN
INSTRUCTIONAL
PROCEDURES:
(Active Engagement, Explicit
Instruction, Metacognition,
Modeling, Scaffolding)
ACTIVE
ENGAGEMENT
USED:
 Cooperative
learning
 Think pair
share
 Notetaking
 Higher level
thinking
DESCRIBE USAGE
Students will work
from basic procedures
MATERIALS AND
RESOURCES:
Unit 1 Chapter :
Systems of
Equations and
Inequalities
( Glencoe Text )
Warm ups & Exit
polls(daily)
Homework (daily)
Guided practice
and Enrichment
from Glencoe
Grab & Go
workbooks
Curriculum
INTERVENTIONS:
Study Island
A+ Math
Math Lab
Khan Academy Videos
Keystone Diagnostic Tool
ASSIGNMENTS:
Note: all assignment are from
the same page, but different
questions are assigned based
on grouping by teacher.
 Weekly blogs
National Library of Virtual
 Word problem
Manipulatives is an
practice from 2008
excellent site for use with
copy of Algebra 2 (on
promethean boards for this
line form
unit.
Glencoe.com)
On line activities are very
 Enrichment from 2008
good in this chapter for
Glencoe ( advanced)
finding a pattern and
 Khan Academy videos
making predictions based on §5-8 pp 266-267
your observations.
§5-9 pp 273-275
to solve equations
Solving world
problems
Solving real world
applications
Proving properties of
algeb
SCAFFOLDING
USED
:
 Chunking
 Building on
Prior
knowledge
 Providing
Visual Support
Binder: Algebra 1
before books This
has very good
additional practice
for students in
these area
Glencoe teacher
works…chalkboar
d is
Good for
Promethean Board
use.
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Math Lab – Tuesday, Thursdays
Note: Reading with
Mathematics pages from
Grab & Go are especially
good for standard classes.
Truly struggling students
will be referred to
guidance/SAP (RTI)
Note: Algebra tiles can be very
helpful in this chapter for
factoring
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Small group/
flexible grouping will occur
if necessary.
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Students will be
encouraged to stay for or
find help with a math
teacher during free time,
after school, or lunch.
MINI LESSONS:
Using algebra
tiles
 Distributing
when subtracting
polynomials
 Synthetic
division and its
limitations
 What
discriminants tell
you
 Quadratic
formula song
Monday 122B
Tuesday 123
A
 Dog pen
 Quiz on
investigation
second
part of
 Investigation
chapter 5
of a
parabola
Also www.shodor.org has
good interactive material
Linear Function Machine is
a good activity from this site
Wednesday
124 B
 Guided
notes on a
parabola
 Vocabular
y needed
to chapter
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HW
guided
notes
Thursday
Friday 125
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Parent teacher
conferences
8 :00 – 3 :30
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In –service meeting
8 :00 – 3 :30