Reflection: Staircase of Complexity Maximizing Profit: An Introduction to Linear Programming - Section 1: Opening


Linear programming problems are not usually included in a standard Algebra 1 class. I think an introduction to linear programming fits perfectly in this unit as students are engrossed in a complex problem situation where they are thinking through a business situation and maximizing profit. In this case, I think it makes perfect sense to introduce the linear programming now, as students will be curious about how many cats and dogs Carlos and Clarita should plan for at their pet sitting company.  I like this kind of real world problem that approaches the content in a more realistic way. Though students sometimes struggle with the idea of a profit line, I think it's just the right amount of rigor for this unit.

  Including linear programming in an Algebra 1 class
  Staircase of Complexity: Including linear programming in an Algebra 1 class
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Maximizing Profit: An Introduction to Linear Programming

Unit 3: Systems of Equations and Inequalities
Lesson 11 of 17

Objective: SWBAT generate a feasible region from given constraints. SWBAT create profit lines based on a given profit amount. SWBAT understand profit lines are parallel and finding the line on the edge of the feasible region will yield max profit.

Big Idea: Now for the important question: How can we make the most money? After graphing a feasible region, students plot profit lines and learn the basics of linear programming.

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