Lesson_Plan_Systems_of_Linear_Equations by hapacat

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									                               Lesson Plan: Systems of Linear Equations
Subject: Working with Coordinate Graphs                      Duration: 1 period

AIM                            How do we find a common solution to a system of two linear equations graphically?
                               By the end of this lesson, students should be able to:
OBJECTIVES
                                   · explore the possibility of locating a common solution to a pair of linear
                                       equations by trial and error
                                   · bridge previously learned concepts together to create an efficient method of
                                       locating the common solution through graphing
                                   · graph the equations of two linear equations on the same axes
                                   · justify that the common solution is given by the coordinates of the points of
                                       intersection of the two lines
                                   · verify that the coordinates of the point of intersection is a common solution
                                       by checking that they satisfy both equations
                                   · verify results by investigating with graphing calculator and using the intersect
                                       function
MATERIALS                      SystemsOfLinearEquations.pptx, Problem Set #22

DO NOW / WARM UP               To get students to activate prior knowledge in graphing linear functions: Describe the
                               procedure for writing the equation of a line passing through two given points.

LESSON DELIVERY

   1. INTRODUCTION             Introduce students to the vocabulary: system of two linear equations.

   2. CLARIFY OBJECTIVE        In this lesson, students will use the graphing calculator in order to solve a system of
                               two equations. Solving a system of two linear equations involve finding the point of
                               intersection between the two graphs.

   3. INSTRUCTION              Model using the example problem from the worksheet provided. Make sure that
      (MODELING)               students use a table of values to graph each line, and that they use the
                               CALCàINTERSECT feature on the graphing calculator to verify the solution to the
                               system of equations.

   4. SUMMARY                  Describe how a graph of a system of linear equations could have an infinite number of
                               solutions.

ASSESSMENT                     Students are to begin working on the problems in Problem Set #22 à at least jotting
                               down the table of values so that they may appropriately finish the problems in this
                               worksheet for homework.

ACCOMODATING INDIVIDUAL        Technology plays an important role in students being able to produce the solution to
LEARNERS                       the system of equations. Rather than acting as an abstraction, students are able to
                               use the technology to visually see the solutions emerge and calculated for them.

EXTENSION ACTIVITY             Complete Problem Set #22
Systems of Linear Equations

  Ms. Basilio, Integrated Algebra Regents
AIM: How do we find a common solution to a
system of two linear equations graphically?

 }   HW: Complete Problem Set #22
 }   DO NOW:
     } Take out your homework
     } Describe the procedure for writing the equation of
       a line passing through two given points.
Do Now Review
Vocabulary: System of Linear Equations
}   Two or more linear equations containing common
    variable(s).
                y = 3x − 2
}   Example:
                y = −2 x + 1
Using the Graphing Calculator
}   Example: #1 of Problem Set #22
                                                   Identify
    Graph 1st Equation   Graph 2nd Equation
                                              Intersection Point
Classwork
}   Work in groups no larger than 3 on Problem Set #22
}   If you do not finish on time, you will complete
    Problem Set #22 for homework!
Name: ________________________   Williamsburg HS for Architecture & Design
Ms. Basilio, period _____                      Date: __________________

    Solving Systems of Linear Equations Graphically

								
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