Name: John Toney
Date: 4-27-2015
Content Area: Mathematics
WOODLAND HILLS SECONDARY
LESSON PLANS
Length of Lesson: 25 days
STAGE I – DESIRED RESULTS
LESSON TOPIC:
Quadratic Functions and Inequalities
Big Ideas:
KEYSTONE ANCHORS:
Understanding Goals (Concepts):
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Unit 7: Quadratic functions: (Chapter 6 & 7-9)
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Graphing quadratics
Solving quadratic equations by graphing
Solving quadratic equations by factoring
Completing the square
Quadratic formula and discriminant
Analyzing graphs of quadratics
Graphing and solving quadratic inequalities
Square root functions and inequalities
2.1.11.A: Model and compare values of irrational
and complex numbers.
2.1.11.B: Use factoring to create equivalent forms
of polynomials.
2.11.11.A: Determine and interpret maximum and
minimum values of a function over a specified
interval.
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ELIBIBLE CONTENT:
A2.1.3.1.1: Write and/or solve quadratic equations
(including factoring and using the Quadratic
Formula).
A2.1.3.1.2: Solve equations involving rational
and/or radical expressions (e.g., 10/(x + 3) + 12/(x –
2) = 1 or √( x2 + 21x) = 14).
A2.1.2.2.1: Factor algebraic expressions, including
difference of squares and trinomials (trinomials
limited to the form ax2+bx+c where a is not equal
to 0).
A2.2.2.1.1: Create, interpret and/or use the
equation, graph or table of a polynomial function
(including quadratics).
A2.2.2.1.3: Determine, use and/or interpret
minimum and maximum values over a specified
interval of a graph of a polynomial, exponential or
logarithmic function.
Solving a quadratic equation by graphing,
factoring, or the quadratic formula.
Relating the graph and function of a
quadratic function that has 0, 1, or 2
zeros.
Relate the discriminant to the type and
number of solutions of a quadratic
equation.
Continue using computations with real,
imaginary, and complex numbers.
Student Objectives (Competencies/Outcomes):
Students will be able to:
 Graph quadratic functions in standard form
and find the max and min points.( 2 days)
 Identify the domain and range of quadratic
functions. ( contained in #1)
 Solve quadratic equations by:
 factoring, ( 2 days)
 taking the square root, ( 1 day)
 completing the square ( 2 days)
 quadratic formula. ( 2 days)
 Use the discriminant to determine the
number and type of roots for a quadratic
equation. ( 2 days)
 Solve real-world problems, which are
modeled by quadratic functions. (2 days)
 Graph and analyze (state domain and range)
square root functions. ( 2 days)
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?
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What are the advantages/disadvantages of
the various methods to represent
exponential functions (table, graph,
equation) and how do we choose the most
appropriate representation?
Vocabulary:
 Axis of symmetry (2)
 Parabola (2)
 Quadratic function (2)
 Completing the square (3)
 Discriminant (3)
 Quadratic formula (2)
 Roots (1)
 Vertex (1)
 Zeros (2)
 Vertex (1)
 vertex form (3)
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STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Students will demonstrate adequate understanding via a chapter test.
Materials and Resources:
Textbook, notes
Formative Assessments:
Pre-assessments, open-ended questions, Think-Pair-Share
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend math lab
Instructional Procedures:
Monday
Date: 4/27
Day : A
“Do Now” –Graph quadratic
equation.
Wednesday
Date: 4/29
Day: A
“Do Now” – Determine if a
given quadratic equation
opens up or down and has a
max or min. Find the y-int,
vertex, and axis of
symmetry. Build a table a
values and then graph it.
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Monitor
students working worksheet
pg 316 giving help as
needed.
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Discuss
and give guided notes on
section 6-2, how to solve a
quadratic equation by
graphing. Show class that
solving means to find where
it crosses the x-axis. Work
on guided practice problems
for class to practice on.
6-2 NB HW
Finish 6-1 NB HW part 2
Finish worksheet pg. 316
From section 6-1
Thursday
Date: 4/30
Day: B
“Do Now” –Solve a
quadratic equation by
graphing.
Friday
Date: 5/1
Day:A
“Do Now” –Solve a
quadratic equation by
graphing.
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Work on
a few problems as guided
practice with class from
worksheet page 321.
Monitor students finishing
worksheet pg 321 giving
help as needed.
“Mini Lesson” – Show
answers to homework
problems and explain any
that were missed. Discuss
and give guided notes on
section 6-3, how to solve a
quadratic equation by
factoring. Show class that
solving means to find where
it crosses the x-axis. Work
on guided practice problems
for class to practice on.
Finish worksheet pg. 321
From section 6-2
6-3 NB HW
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Assignments
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Procedures
“Mini Lesson”
Finish example 4 from 6-2
part 2 in notebooks.
Monitor students working
on guided practice problems
in notebooks, section 6-2
part 2 NB HW.
Tuesday
Date: 4/28
Day: B
“Do Now” – Determine if a
given quadratic equation
opens up or down and has a
max or min. Find the y-int,
vertex, and axis of
symmetry. Build a table a
values and then graph it.
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections