WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name _Irene Runco_____ Date 2.20.12 _
Ed line was updated this week X
My class webpage was updated this week. X
Length of Lesson _15 days_
Content Area Algebra 2 _
STAGE I – DESIRED RESULTS
LESSON TOPIC: Rational Expressions and Equations
BIG IDEAS:
There are some mathematical relationships that
are always true and these relationships are used
as the rules of arithmetic and algebra and are
useful for writing equivalent forms of
expressions and solving equations and
inequalities.
KEYSTONE ANCHORS:
ELIBIBLE CONTENT:
M11.A.1.2.3 Simplify algebraic fractions.
M11.A.2.1.1 Solve problems using operations
with rational numbers including rates and
percents (single and multi-step and multiple
procedure operations) (e.g., distance, work and
mixture problems, etc.).
M11.A.2.1.2 Solve problems using direct and
inverse proportions.
M11.A.2.1.3 Identify and/or use proportional
relationships in problem solving settings.
M11.D.3.1.1 Identify, describe and/or use
constant or varying rates of change.
M11.D.3.1.2 Determine how a change in one
variable relates to a change in a second variable
(e.g., y=4/x, if x doubles, what happens to y?).
M11.D.4.1.1 Match the graph of a given
function to its table or equation.
UNDERSTANDING GOALS (CONCEPTS):
Operations:








Add, subtract,
multiply, divide and simplify rational expressions
complex fractions with fractional numerators and
denominators.
Graph rational functions with no more than 1 vertical
asymptote or point of discontinuity.
Identify domain and range of rational functions
Solve problems involving direct and inverse variation.
Identify graphs of different types of functions (linear,
quadratic, cubic, absolute value, radical, rational).
Solve rational equations
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??
STUDENT OBJECTIVES
(COMPETENCIES/OUTCOMES):
Students will be able to:
VOCABULARY










Rational expression,
complex fraction
*Asymptote
rational function
continuity,
*Direct variation
constant of variation
joint variation
inverse varation
Rational equation









PERFORMANCE TASK:
Students will participate in
1. class discussions,
2. guided notes & practice,
3. computer work,
4. whiteboard activities
Add, subtract,
multiply, divide and simplify rational
expressions
complex fractions with fractional numerators
and denominators.
Graph rational functions with no more than
1 vertical asymptote or point of
discontinuity.
Identify domain and range of rational
functions
Solve problems involving direct and inverse
variation.
Identify graphs of different types of
functions (linear, quadratic, cubic, absolute
value, radical, rational).
Solve rational equations
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
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
INTERVENTIONS:
Study Island
A+ Math
Math Lab
Khan Academy
Videos
Keystone Diagnostic
Tool
National Library of
Virtual Manipulatives
is an excellent site for
ASSIGNMENTS:
Note: all assignment
are from the same
page, but different
questions are assigned
based on grouping by
teacher.


Weekly blogs
Word problem
practice from
2008 copy of
DESCRIBE USAGE
Students will work from
basic procedures to solve
equations
Solving world problems
Solving real world
applications
Proving properties of
algeb
SCAFFOLDING USED
:
 Chunking
 Building on Prior
knowledge
 Providing Visual
Support
MINI LESSONS:















Simplify a rational
expression
Simplify by
factoring out -1
Multiply rational
expressions
Divide rational
expressions
Polynomials in the
numerator and
denominator
Simplify a complex
fraction
LCM of monomials
LCM of
polynomials
Monomial
denominators
Polynomial
denominators
Use a complex
fraction to solve a
problem
Vertical
asymptotes and
point discontinuity
Graph with a
vertical asymptote
Graph with point
discontinuity
Use graphs of
rational functions
Glencoe teacher
works…chalkboard is
Good for Promethean
Board use. Use end of
powerpoint for extra
examples and practice.
Use 5 minute check as
exit slip.
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.
Truly struggling
students will be
referred to
guidance/SAP (RTI)
•
Small group/
flexible grouping will
occur if necessary.


Algebra 2 (on
line form
Glencoe.com)
Enrichment
from 2008
Glencoe (
advanced)
Khan Academy
videos
p. 476-478
p. 481-484
p. 488-490
p. 495-498
p. 501-504
Note: Reading with
Mathematics pages
from Grab & Go are
especially good for
standard classes.
•
Students will
be encouraged to stay
for or find help with a
math teacher during
Note: Khan videos
free time, after school,
extremely valuable for
or lunch.
this section
You tube: quadratic
formula song












Direct variation
Joint variation
Inverse variation
Use inverse
variation
Identify a function
given the graph
Match equation
with graph
Identify a function
given its equation
Solve a rational
equation
Elimination of a
possible solution
Work problem
Rate problem
Monday

Tuesday
No school

Simplifying
rational
expressions
Math Lab – Tuesday, Thursdays
Wednesday- math department meeting –
Wednesday

Simplifying
rational
expressions
Thursday

Multiplying
and divding
rational
expressions
Friday

Multiplying
and divding
rational
expressions