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Lesson Plan 2: Hassan's Pictures - Linear Programming and Profit Lines
Overview:
This lesson helps students learn to find the feasible region in a linear programming problem, to graph a family of profit lines, and to find the optimum point - the point on the feasible region that will produce the greatest profit. The lesson plan is based on the activity Patricia Valdez presents in the video for Part II of this workshop.
Time Allotment:
Two 50-minute periods
Subject Matter:
Systems of linear inequalities
Feasible regions
Profit lines
Optimum points
Learning Objectives:
Students will be able to:
- Graph the feasible region in a linear programming problem.
- Graph a family of profit lines for a given linear programming problem.
- Determine the optimum point or solution to a linear programming problem.
Standards:
Principles and Standards for School Mathematics, National Council of Teachers of Mathematics (NCTM), 2000:
NCTM Algebra Standard for Grades 6-8
http://standards.nctm.org/document/chapter6/alg.htm
NCTM Algebra Standard for Grades 9-12
http://standards.nctm.org/document/chapter7/alg.htm
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