Name: John Toney
Date: 5-18-2015
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
“Mini Lesson” – Work with
class on solving quadratic
equations using the
quadratic formula.
Determine the number and
type of solutions using the
discrimanent. Do guided
practice and them monitor
students working on
independent practice ws pg
338
Tuesday
Date: 5/19
Day: A
Class cancelled
Keystone Testing
Wednesday
Date: 5/20
Day: B
“Do Now” – Solve a
quadratic equation using
the quadratic formula.
Thursday
Date: 5/21
Day: A
Class cancelled
Keystone Testing
“Mini Lesson” – Work with
class on solving quadratic
equations using the
quadratic formula.
Determine the number and
type of solutions using the
discrimanent. Do guided
practice and them monitor
students working on
independent practice ws pg
339
Friday
Date: 5/22
Day: B
“Do Now” – Solve a
quadratic equation using
the quadratic formula.
“Mini Lesson” – Monitor
students working on review
worksheets from chapter 6.
Test to be given next week.
Finish 6-5 ws pg 338
Finish 6-5 ws pg 339
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Assignments
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Procedures
Instructional Procedures:
Monday
Date: 5/18
Day : B
“Do Now” – Solve a
quadratic equation using
the quadratic formula.
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
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