1. Topic-
Systems of Equations
 
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 real-life 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
TI-84 Plus Calculators
Overhead
A.9 Graphic Organizer #2
Laptop
LCD Projector
 
6. Procedures/Methods-

A. Introduction-

Snapshot
 

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-

Independent Practice
 

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
 

This Lesson Plan is available at (www.teacherjet.com)