Name: John Toney
Date: 11-17-14
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
Procedures
Instructional Procedures*:
Monday
Date: 11/17
Day: B
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete a
multiple choice
assessment on
transformations of
graphs, compositions of
functions, finding
inverse functions and
their graphs, and
applying mathematical
models through direct,
inverse, and joint
variations.
Tuesday
Date: 11/18
Day: A
 “Do Now” – N/A
 “Mini Lesson” – N/A
 Students will complete
an open-ended
assessment on
transformations of
graphs, compositions of
functions, finding
inverse functions and
their graphs, and
applying mathematical
models through direct,
inverse, and joint
variations.
Wednesday
Date: 11/19
Day: B
 “Do Now” – Write three
lines explaining what
you know about a
quadratic.
 “Mini Lesson” –
Completing the Square
of Quadratics
 Students will work on
completing the square
examples so they can
write quadratics in
standard form.
Thursday
Date: 11/20
Day: A
 “Do Now” – Complete
the square of a
quadratic.
 “Mini Lesson” –
Completing the Square
of Quadratics
 Students will work in
pairs on completing the
square examples so they
can write quadratics in
standard form.
Friday
Date: 11/21
Day: B
 “Do Now” – Solve a
quadratic equation for
the vertex and
intercepts.
 “Mini Lesson” –
Quadratic Functions –
Sketching the graph of
quadratics
 Students will practice
sketching the graphs of
quadratics, write
quadratics in standard
form, and use the
completing the square
method to write a
quadratic in standard
form.
Assignments
 Continue studying for
the Chapter 1.5-1.7
Open-Ended Assessment
 Read over Section 2.1
 Complete the square
problems from
worksheet
 Finish the completing
the square worksheet.
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
 Textbook – Page 213
#1-12 all (only parts a
and b)