Name: John Toney
Date: 12-1-14
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
Instructional Procedures*:
Monday
Date: 12/1
Day:
Procedures
 No School
Tuesday
Date: 12/2
Day: B
 “Do Now” – Divide two
polynomials using
synthetic division.
 “Mini Lesson” –
Quadratics and
Polynomial and
Synthetic Division
 Students will work on
practice problems
rewriting quadrtics in
vertex form, sketching
quadratics, and dividing
polynomials using long
and sythetic division.
Wednesday
Date: 12/3
Day: A
 “Do Now” – Using
synthetic division to
factor a polynomial
completely.
 “Mini Lesson” – Complex
Numbers
 Students will explore
complex numbers by
adding, subtracting, and
multiplying. They will
also write complex
numbers in standard
form, and find complex
solutions to quadratic
equations.
Thursday
Date: 12/4
Day: B
 “Do Now” – Solve a
quadratic that has
complex solutions.
 “Mini Lesson” – Complex
Numbers
 Students will work on
practice problems
writing complex
numbers in standard
form, adding,
subtracting, and
multiplying complex
nubmers, and find
complex solutions to
quadratic equations.
Friday
Date: 12/5
Day: A
 “Do Now” – Add and
subtract two complex
nubmers.
 “Mini Lesson” – Rational
Functions
 Students will find the
domains of rational
functions, and find
horizontal asymptotes of
rational functions.
Assignments

 Complete In-Class
Assignment
 Textbook – Page 258
#1-3 odd, 17-25 odd, 2739 odd, 87, 5-13 odd, 7983 odd, 65-71 odd
 Complete In-Class
Assignment
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
 Textbook – Page 279
#1-6 all, 23-26 all