Linear Programming high challenge

Learning target: students can solve linear programming problems unassisted.



students get to pick from one of the three problems and make a poster about it.  I show a poster of previous student work of Joe's coffee shop, which is a problem all of them have already solved.:

(most of the students choose the juice problem)



One thing that could make this activity better is if these same students had to complete one problem of the high support, where there is no context.

Anticipate students defining their variables half haphazardly, which can lead to confusion latter, especially for the juice problem where students have to convert their unit to be in all quarts or all gallons.

Linear programming

Learning Target: students can maximize the profit of a system of inequalities.


The lesson starts off based on the previous walk-though of feasible region and Fred's coffee shop.  then, if students understand they move forward, and if not we go back to basics.

Determining factor: can the students do this problem while using Fred's coffee shop as a guide






High challenge:
Students pick on of three problems and make a poster that shows the solution using the template we have been using.

Anticipate: students not defining x and y well enough.


High support:
 Here are the three questions.  Students had to pick one depending on where they think they are at.

Question 1 student work

:

Question 2 student work

Question 3 student work.

Scavenger Hunt-feasible region and linear programming introduction

Learning Target: students can identify points inside and outside of the feasible region.

Intro: I hand out the problem to each student as they come in the door and most of them can begin without any prompt.

the idea is that we are going to set up a scavenger hunt and need to set up the boundaries using a system of inequalities. (thank you Google Maps)

Students graph these and label 5 points that would serve as suitable stations for the scavenger hunt.  Inevitably, one student will pick some point where x=4, which gives us a good talking point when we review it.

there is one question about the northern-most point, which students will eyeball from there sometimes haphazard graphs, which gives us an avenue to review solving systems.

Plugging the point back in and finding the y-location is not always easy to remember.

Here is a PDF of the lesson, and below is the worksheet.

Thursday 1/10/13 Linear programming

learning target: students can solve optimization problems using linear programming

Classwork: back side of worksheet from Wednesday.

Review for quiz on systems of inequalities and linear programming:

New homework (due Tuesday)  pg 347-348 #3,5 (extra credit)

Wednesday 1/9/13 intro to linear programming.

Learning target: students can graph a system of inequalities with  equations.

Classwork: scavenger hunt:





Homework: pg 339-340 1-5 due tomorrow.