WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name _Steve Flanders__________
Date 12-13-13
Length of Lesson __1 weeks_____ Content Area Trigonometry_______
Edline was updated this week: x
My class website was updated this week: x
STAGE I – DESIRED RESULTS
LESSON TOPIC: Polynomial and Rational Functions
BIG IDEAS:
Relations and functions are mathematical relationships that can be
represented and analyzed using words, tables, graphs, and equations.
(Content standards, assessment anchors, eligible content) objectives, and skill
focus)
UNDERSTANDING GOALS (CONCEPTS):
Students will understand:
*Algebraic properties, processes and representations
*Quadratic functions and equations
*Polynomial functions and equations
Students will understand:
1.
2.
3.
Write an equation for a quadratic function in standard form.
Graph a quadratic function using the vertex and intercepts.
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.
VOCABULARY:
*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
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.
ESSENTIAL QUESTIONS:
How do quadratic equations and their graphs and/or tables help us
interpret events that occur in the world around us?
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: Represent exponential, quadratic, and
polynomial functions in multiple ways, including tab les ,
graphs, equations, and contextual situations, and make
connections among representations; relate the growth/decay
rate of the associated exponential equation to each
representation.
*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 representations; relate the solution of the
associated quadratic equation to each representation.
STAGE II – ASSESSMENT EVIDENCE
PERFORMANCE TASK:
Students will demonstrate adequate understanding via a
chapter test.
FORMATIVE ASSESSMENT:
#1 Pre-Assessment
#2 Open-Ended Questions
#3 Think-Pair-Share
STAGE III: LEARNING PLAN
INSTRUCTIONAL
PROCEDURES:
MATERIALS AND
RESOURCES:
Active Engagement use:
#1 Note-Taking
#2 Cooperative Education
Textbook
Notebook
Projector/Promethean Board
Scaffolding used:
#1 Guided Notes
#2 Build on prior knowledge
MINI LESSON:
*Quadratic Functions
*Polynomial and Synthetic
Division
*Complex Numbers
*Rational Functions
INTERVENTIONS:

Limited small group/
flexible grouping will
occur.

Students will be
encouraged to stay for
math lab, or find help
with a math teacher.
ASSIGNMENTS:
p. 213-217
p. 239-241
p. 258-259
p. 278-281