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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

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 Ineq. #4:

 Ineq. #5:

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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
• Ask for additional methods of solving the systems
• 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:

Task #1) Your group needs to take a stance on what it will advertise

 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.

Task #2) Assign roles to each member in your group.
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”)

Task #3) Create the commercial

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