1. Topic


2. Content

 The solution of a system of linear equations can be written
as an ordered pair (x,y) in which the values of x and y will solve
the system.
 System of linear equations can be solved by graphing, substitution,
or elimination (addition and subtraction).
 The points (x,y) that lie on the graph of each equation are called
the point of intersection of the graph.
 When the lines on the graph of a system of two linear equations
intersect, the system has exactly one solution.
 When the lines on the graph of a system of two linear equations
are parallel, the system has no solutions.
 When the lines on the graph of a system of two linear equations
coincide, the system has an infinite number of solutions.
 The graphing calculator can be used to solve a system of two linear
equations.
 To solve some reallife problems, a system of linear equation
is used. Write the system of equations and then decide which solution
method to use.



3. Goals: Aims/Outcomes

To solve systems of equations through the process of substitution. 


4. Objectives

A.9
The student will solve systems of two linear equations in two variables
both algebraically and graphically and apply these techniques to solve
practical problems. Graphing calculators will be used both as a primary
tool for solution and to confirm an algebraic solution. 


5. Materials and Aids

Lined paper
TI84 Plus Calculators
Overhead
A.9 Graphic Organizer #2
Laptop
LCD Projector 


6. Procedures/Methods

A. Introduction

B. Development
1. Complete the A.9 Graphic Organizer #2
2. Model how to find the solution to a system by substitution, when
you have to solve for y.



C. Practice
Guided Practice  1/2 free answer & 1/2 multiple choice 


D. Independent Practice
Multiple Choice questions (10)  This will cover solving systems
graphically and using substitution.



E. Accommodations (Differentiated Instruction)
The students that do not do well on the Snapshot, will be grouped
together to work on the guided practice with me and the students who
are ready to move forward, will work on the guided practice with the
tutor. When they are done, they can complete the independent practice. 


F. Checking for understanding

G. Closure
The students must complete the Independent Practice in order to
leave. 


7. Evaluation

1. Independent Practice
2. Assessment #2: A.9
Even Days
Odd Days 

