student objectives (competencies/outcomes)

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WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name _Kost________ Date 11.12.12 _
Ed line was updated this week X
My class webpage was updated this week. X
Length of Lesson __5days_
Content Area Workshop 3 _
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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Factoring trinomials with leading coefficient of 1
Factoring trinomials with leading coefficient > 1
Factoring polynomials of terms ≥ 4
Factoring special case polynomials
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:
A1.1.1.5.2 Factor algebraic expressions, including
difference of squares and trinomials.
Note: Trinomials are limited to the form
ax2+bx+c where a is equal to 1 after
factoring out all monomial factors.
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.1.2.1 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.
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
ESSENTIAL QUESTIONS:
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What is the principle being used when you factor
trinomials ?
How does this principle carry over from
polynomial expressions to polynomials equations
?
Can every polynomial be factored ? Why/ why
not?
What are the special cases of factoring you need
to know how to apply ?
STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):
Students will be able to:
VOCABULARY
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Monomial (2)
Binomials (2)
Polynomial (2)
Coefficient
Constant
Trinomials
Common factors
1.
2.
3.
4.
PERFORMANCE TASK:
Students will participate in
1. class discussions,
2. guided notes & practice,
3. computer work,
4. whiteboard activities
Factor polynomials with simple common
factors
Factor polynomials with leading coefficient of
1
Factor polynomials with leading coefficient >1
Factor polynomials piecewise by common
factors.
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
equations
Solving world problems
Solving real world
applications
Proving properties of
algeb
MATERIALS AND
RESOURCES:
INTERVENTIONS:
Unit 1 Chapter :
Systems of Equations
and Inequalities
( Glencoe Text )
Study Island
A+ Math
Math Lab
Khan Academy Videos
Keystone Diagnostic
Tool
Warm ups & Exit
polls(daily)
Homework (daily)
Guided practice and
Enrichment from
Glencoe Grab & Go
workbooks
Curriculum Binder:
Algebra 1 before books
This has very good
additional practice for
students in these area
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 for
finding a pattern and
making predictions based
on your observations.
Glencoe teacher
works…chalkboard is
Also www.shodor.org has
good interactive material
Linear Function Machine
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
2008 Glencoe (
advanced)
Khan Academy
videos
SCAFFOLDING USED
:
 Chunking
 Building on Prior
knowledge
 Providing Visual
Support
Good for Promethean
Board use.
Truly struggling students
will be referred to
guidance/SAP (RTI)
Using algebra tiles
Distributing when
subtracting
polynomials
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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.
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Monday
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Reversing
the process
of FOIL
Note: Reading with
Mathematics pages
from Grab & Go are
especially good for
standard classes.
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Small group/
flexible grouping will
occur if necessary.
MINI LESSONS:
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is a good activity from
this site
Tuesday
Wednesday
Thursday
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Computer lab day
Periods 3,4,5,6 only
Factoring with
higher leading
coefficients
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Practice with all
cases of
polynomials
Friday
Parent teacher
conference day
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