Systems of Equations
Nick Curby and Pam Schroer

Introduction and Rationale of the Unit Plan
The following unit, which has been planned and ready to be implemented into an eighth grade Algebra I class, deals with systems of equations.  Students will see how two functions with the same variables will be able to work together and solve for the two unknown variables.  The students will have to use many procedures to come up with the answers.  Graphing, adding, subtracting, solving for a variable, and using multiples will be just some of the skills that they should have already mastered to work through this unit.
This unit is probably one of the more life-applying units that the students will have.  In turn the teacher will be able to answer the age-old question, “When are we ever going to have to use this?” with more ease and plenty of examples.    The material will pull in the students because there will many different and exciting activities that will show students that they don’t have to answer one problem the same way.  Numerous methods will be applied to the same question but will all result in the same answer.
This lesson plan will fit into the curricular recommendations made by the NCTM/Illinois Learning Goals in that students will continue to expand their knowledge in algebra and working with and understanding functions in more complex ways.  The use of graphs, calculators, and other manipulatives will help the student to see what exactly a problem is doing and how to better solve it.
By the end of this unit a student should be able to recognize a system of equations and be able to solve it using either a graph, substituting for one variable, eliminating a variable through addition, subtraction and multiplication.  The students should also be able to be given a word problem and create a system on their own.  The unit project will get them ready to be able to create problems on their own.  This is done to help students work and manipulate with systems.

Concept Map of Unit