WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name _Irene Runco________ Date 2.23.15 _
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 to solve
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 Binder:
INTERVENTIONS:
Study Island
A+ Math
Math Lab
Khan Academy Videos
Keystone Diagnostic
Tool
National Library of
Virtual Manipulatives is
an excellent site for use
with promethean boards
for this unit.
On line activities are
very good in this chapter
ASSIGNMENTS:
Note: all assignment are
from the same page, but
different questions are
assigned based on
grouping by teacher.
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Weekly blogs
Word problem
practice from
2008 copy of
Algebra 2 (on line
form
Glencoe.com)
Enrichment from
equations
Solving world problems
Solving real world
applications
Proving properties of algeb
SCAFFOLDING USED
:
 Chunking
 Building on Prior
knowledge
 Providing Visual
Support
Algebra 1 before books
This has very good
additional practice for
students in these area
for finding a pattern and
making predictions
based on your
observations.
Glencoe teacher
works…chalkboard is
Good for Promethean
Board use.
Also www.shodor.org
has good interactive
material
Linear Function
Machine is a good
activity from this site
Truly struggling
students will be referred
to guidance/SAP (RTI)
MINI LESSONS:
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Using algebra tiles
Distributing when
subtracting
polynomials
Synthetic division
and its limitations
What discriminants
tell you
Quadratic formula
song
Monday 108
 Rationalizing
the
denominator
 Using radicals
 Using rational
exponents
 Emphasis on
powers higher
than 2
 Guided notes
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HW from guided
notes
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Small group/
flexible grouping will
occur if necessary.
Tuesday 109
Group pracitce
Review of last 1
½ weeks’ work
Hand in review
when finished.
Math Lab – Tuesday, Thursdays
2008 Glencoe (
advanced)
 Khan Academy
videos
§5-6 pp 254-256
§5-7 pp 260-262
§5-8 pp 266-267
§5-9 pp 273-275
Note: Reading with
Mathematics pages from
Grab & Go are especially
good for standard
classes.
Note: Algebra tiles can be
very helpful in this chapter
for factoring
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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.
Wednesday 110 A Thursday 111B
 Buddy quiz
 Guided
on radicals
notes on
radical
equations
 Solving
simple
equations
with one
radical
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HW from guided
notes
Friday 112A
Guided notes on
equations with two
radicals
Emphasis on
checking roots
12 problems from
homework pack.