Tradebook Lesson Plan 2 - Quadratic Equations

Ms. Patel�s Math Class Website � Go here for assignments, homework, schedules, etc�

Subject:        Algebra II and Trigonometry
Title of Lesson:    TradeBook:  The Curious Incident of the Dog in the Night/Using the Quadratic Equation
Date of Lesson:    TBD  2 Days
Grade:        11&12
Age Range:    16-18

--------------------------------------------------------------------------------

New York Standards:

Algebra 2 Trigonometry  - Algebra Strand: Equations and Inequalities 
PI A2.A.25  - Solve quadratic equations, using the quadratic formula

Grade 11 Reading Standard:
Standard 1: Students will read, write, listen, and speak for information and understanding

--------------------------------------------------------------------------------

Objective(s):     
By the end of this lesson, students will be able to know and apply the technique of completing the square to solve for the roots of an equation.  The will also learn how to solve quadratic equations using the quadratic formula.  They will engage in a hands on student centered activity using their graphing calculator.  They will demonstrate their knowledge and understanding of the concept by completing a short in-class problem set to be handed in for assessment.  Students are expected to answer 80% or more of the questions correctly. In addition, student should be able to assess which method to use to solve quadratic equations.

--------------------------------------------------------------------------------

Check for understanding of content:
1)    Formative evaluations during the class in the form of problems being solved individually or in pairs.  Rubric attached.
2)    Questions at the end of the period to test for understanding of the quadratic equation and when it can be used.
3)    Summative evaluation in the form of a worksheet to be handed in and graded at the end of class or as a homework assignment.
4)    Summative evaluation in the form of a test at the end of the unit.

--------------------------------------------------------------------------------

Blooms Taxonomy:
�    Knowledge- Terminology, right triangle, Quadratic Equation
�    Comprehension - Understand how the equation works and can solve for the roots
�    Application  - Applying the quadratic formula to real work examples
�    Analysis  -  List examples of when the Quadratic Equation would be used in the real world

--------------------------------------------------------------------------------
Materials:   
    Pencil, and Paper
    Scientific Calculator
    Quadratic Equation Worksheet
    Math lab with computers
    Overhead projector
    Overhead transparency � 4 Methods to solve a Quadratic Equation
    Transparency pen

Level of Success of the Students:

Goal of 85% understanding of the students by the end of the class.  Should increase to 95% after formative evaluations and homework assignments are completed and reviewed.

***************************************************************************************
Differentiation (NCLB):

�Gifted Children - These students will be prompted to extend their thinking to higher levels of  Bloom�s Taxonomy, real world applications and logical extensions.

�Children with EIP�s �  Students with special needs have an additional teacher to work with them individually as we move through the concepts.  I have used co-teaching in the past which has worked very well with the students.

�ELL student � Typically this isn�t an issue in Mathematics as all terminology is global and new to everyone in the class.

�Visual/Hearing Impaired � Handouts of the lecture notes in a larger font can always be printed out using the shared computer in the back of the room.  Modifications will be made as needed for each student as they arise. 

�When working at their desks, the children will continue to work in their assigned groups; this seating arrangement takes into account different learning styles and the pairing of weaker and stronger learners.

�For Special Needs Students:  Provide a reference sheet with the Pythagorean Theorem and step by step instructions on how to solve for the hypotenuse or leg.

�For Advanced Students:  Ask students to come up with an alternative Proof for the Pythagorean Theorem.  Any student with a correct proof will get an extra point on a future homework assignment or exam.

********************************************************************************
Classroom Management:

Behavior                          Possible Responses
Shyness              *  Ask student to go to blackboard to solve problem (build confidence)
Talkative            *  Make eye contact, get close, acknowledge comments made
Rambling            *  Refocus attention by restating relevant point
Heckling              * Recognize participants feelings and move on 

IF BEHAVIOR CONTINUES, TRY THE FOLLOWING:
  *  Rules, consequences and rewards list
  *  Behavior analysis logs and individual contracts
  *  Awards and certificates/weekly point charts for appropriate behaviors

*********************************************************************************

Blooms Taxonomy:
�    Knowledge � Terminology, right triangle, Pythagorean Equation
�    Comprehension � Understand the difference between a triangle and a right triangle
�    Application  - Understanding the idea of solving for a side of a right triangle given two sides
�    Analysis �  List examples of when the Pythagorean Theorem would be used in the real world
�    Evaluation � Consequences and uses of the Pythagorean Theorem