Use an applet to explore a linear programming problem about producing woodworking objects. The problem is written above the applet.
The problem is designed to address the following U.S.A. Common Core State Standards:
Grade 7
Epressions &Equations: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
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[*]CCSS.Math.Content.7.EE.B.4b: Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
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High School
Algebra: Represent and solve equations and inequalities graphically
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[*]CCSS.Math.Content.HSA-REI.D.12: Graph the solutions to a linear inequality in two variables as a halfplane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
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Create equations that describe numbers or relationships
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[*]CCSS.Math.Content.HSA-CED.A.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
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Target Standards for Mathematical Practice
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[*]MP1: Make sense of problems and persevere in solving them.
[*]MP5: Use appropriate tools strategically.
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