I remind students that they are working on the Summer School Linear Programming Problem again today. The goal for this lesson is for students to finish their work on this problem and be ready to present it to the class.
Students began working on this problem in the previous lesson. I like to start the class by having them reflect on what worked well in their groups yesterday. This can help set the tone for a second productive day. I find that sometimes two days of group work in the same group can lead to some off track behavior or a loosening of classroom norms. So, the real purpose of this Lesson Beginning activity is to set the tone for the day’s work. Students could report out from their groups or I might have each student free write individually: what made their group successful on the previous day?
At this point in the lesson, students will go back to their homogenous groups to continue their work. Students should have graphed the three inequalities and found the feasible region by the end of yesterday’s lesson (perhaps with some homework) and are ready to graph the profit line (or in this case, cost line).
Things I watch for:
As groups finish, I have them prepare presentations on this assignment.
Students will close the class today by presenting their work on this problem. This is a good opportunity for students to explain the process, how they understand the problem, and use mathematical language. I like to focus on SMP3: Construct viable arguments and critique the reasoning of others here. For the presenters, I focus on the progression they describe to explain their problem solving process. For the observers, I focus on asking clarifying questions that help deepen understanding.
I prompt students to:
At the end of class I let students know that they will be starting to write their own linear programming problems in the next class. This work was in preparation for that process.