# Solutions to Systems of Equations

Overview:

• This lesson focuses on the methods for finding solutions to systems of linear
equations
• Students will choose a method (substitution, elimination, graphing) and sell
that method using Alice software to create a commercial
• Alice concepts focus on setting up scenes and creating methods

Objectives and Goals:

• NCSCOS Algebra 1

o Competency
Goal 4: The learner will use relations and functions to
solve problems .
o Objective 4.03: Use systems of linear equations or inequalities in two
variables to model and solve problems. Solve using tables, graphs, and
algebraic properties ; justify results.

• NCSCOS Grade 8 Computer/Technology Skills

o Competency Goal 3: The learner will use a variety of technologies to
access, analyze, interpret, synthesize, apply, and communicate
information

Objective 3.07: Plan, design, and develop a multimedia product
using data (e.g., graphs, charts , database reports) to present
content information

Anticipatory Set (8 min):

• On the board put the following systems of equations and ask students to
solve using any method:

o y = 3x + 2; y = ½x – 4
o 2x + 3y = 12; 4x – 12y = 24
o 7y = 2x – 1; y = x + 2

Direct Instruction/Guided Practice (15 min):

• Have students come to board to solve the system of equations
• Point out the reasons for using specific methods

Closure (5 min):

• How can you tell which method is the best to use when looking at a system of
equations?

Independent Practice: Solutions of Systems of Linear Equations Activity

o Create a commercial for one of the methods for solving systems of linear
equations, to sell your mathematical product which, in this case, is your
chosen method! Include the following:

o A catchy slogan
o Clear definitions of important terms
o Example problems
o What steps someone would take to use your method
o A clear argument stating the reasons why your method is better than
the other ones. (In other words, come up with a few good sentences
that explain why you chose your method and why others should too!)

o Procedure:

 Stance 1) Why the equation method for finding the solution to linear equations is the best. Stance 2) Why the graphical method (using a graph to find the solution) is best. Stance 3) Why the substitution method (substituting one equation into the other) is best. Stance 4) Why the elimination method is best.

Roles
Example Maker :______________
(person needs to create specific mathematical examples)
Slogan Maker :______________
(person responsible for a catchy slogan)
Definition Maker:______________
(person responsible for clearly writing all relevant definitions)
Seller :______________
( Person responsible for “Clearly stating the reasons why your method is better
than the other way to find the answer”)

Required Materials and Equipment:

• Graph paper/ graphing calculator (optional)
• Computer with Alice software
• Data projector
• Colored pencils/markers for storyboarding
• Storyboard paper

Assessment

• Use rubric