Name: John Toney
Date: 12-8-14
Content Area: Mathematics
WOODLAND HILLS SECONDARY
LESSON PLANS
Length of Lesson: 20 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Big Ideas:
Understanding Goals (Concepts):
Polynomial and Rational Functions
2.8.11.A Analyze a given set of data for the
existence of a pattern and represent the pattern
algebraically and graphically.
2.8.11.E Use equations to represent curves (e.g.,
lines, circles, ellipses, parabolas, hyperbolas)
2.8.11.N Solve linear, quadratic and exponential
equations both symbolically and graphically.
2.8.11.Q Represent functional relationships in
tables, charts and graphs.
2.8.11.S Analyze properties and relationships of
functions (e.g., linear, polynomial, rational,
trigonometric, exponential, logarithmic).
2.8.11.T Analyze and categorize functions by their
characteristics.
1.
Student Objectives (Competencies/Outcomes):
Students will be able to:
Essential Questions:
Vocabulary:
How do quadratic equations and their graphs
and/or tables help us interpret events that occur in
the world around us?
*Axis of Symmetry, Vertex, Standard Form
*Synthetic Division, Remainder Theorem, Factor
Theorem
*Imaginary Unit, Complex Number, Complex
Conjugates, Principle Square Root
*Rational Function, Vertical, Slant & Horizontal
Asymptotes
Extend algebraic properties and processes to
quadratic, exponential, and polynomial expressions
and equations and to matrices, and apply them to
solve real world problems.
Represent a quadratic function in multiple ways,
including tables, graphs, equations, and contextual
situations, and make connections among
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?
Write an equation for a quadratic function in
standard form.
2. Graph a quadratic function using the vertex and
intercepts.
3. Write an equation for a quadratic function in vertex
form by completing the square.
4. Divide polynomials using long division and
synthetic division.
5. Apply the remainder and factor theorems.
6. Simplify imaginary and complex numbers.
7. Solve quadratic equations with complex number
solutions
8. Find the domain and asymptotes of a rational
function
9. Graph rational functions.
10. Solve applications involving quadratic functions.
representations; relate the solution of the associated
quadratic equation to each representation.
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Formative Assessments:
Students will demonstrate adequate understanding via a chapter test.
Pre-assessments, open-ended questions, Think-Pair-Share
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Trig Lab
Materials and Resources:
Textbook, notes
Assignments
Procedures
Instructional Procedures*:
Monday
Date: 12/8
Day: B
 “Do Now” – Find the
domain of a rational
function.
 “Mini Lesson” – Rational
Functions
 Students will sketch the
graphs of rational
functions by finding the
intercepts, looking at
vertical and horizontal
asymptotes, and
creating a small table of
values..
 Textbook – Page 279
#7-12 all, 57-60 all, 3353 odd
Tuesday
Date: 12/9
Day: A
Wednesday
Date: 12/10
Day: B
Thursday
Date: 12/11
Day: A
Friday
Date: 12/12
Day: B
 “Do Now” – Sketch the
graph of a rational
functions.
 “Mini Lesson” – Rational
Functions
 Students will sketch the
graphs of rational
functions that contain
slant asymptotes, and
explore how these types
of graphs differ.
 “Do Now” – Sketch the
graph of a rational
function that contains a
slant asymptote.
 “Mini Lesson” – Rational
Functions
 Students will continue
sketching the graphs of
various rational
functions.
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete a
review and ask
questions on quadratic
functions and their
graphs, polynomial and
synthetic division,
complex numbers, and
rational functions and
their graphs.
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete a
review and ask
questions on quadratic
functions and their
graphs, polynomial and
synthetic division,
complex numbers, and
rational functions and
their graphs.
 Textbook – Page 279
#7-12 all, 57-60 all, 3353 odd
 Begin working on
Chapter 2 Review
Material
 Study for the Chapter 2
Multiple Choice
Assessment
 Study for the Chapter 2
Open-Ended Assessment
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections