Jamie+-+Alternative+Project

Example Problem: Graphing Inequalities This example is to be solved through a class wide discussion. The text in blue are examples of questions the teacher might ask to guide the conversation and encourage the use of the intended standards.

Problem: You are asked to bring at least 150 sandwiches to a picnic. You want to make tuna and ham sandwiches. How many of each can you make?

Ideas: Tuna || Ham || 150 || 0 || 0 || 150 || 1 || 149 || 50 || 100 || … || … ||
 * Make a Table**

Is a table the best way to show all possibilities? Why or why not?


 * Make a Graph**



What does each point represent? What does the line represent? You are making at least 150 sandwiches, does this graph represent more than 150 sandwiches?


 * Make an Equation**

Tuna + Ham = 150 Let x be tuna and y be ham. x + y = 150 Does this represent at least 150 sandwiches? x + y __>__ 150

Why is each method (table, graph, equation) useful?

This problem will be assigned to students in groups of three to solve with individual guidance from the teacher. Students will collaborate and communicate through a wiki. Each group will have a work in progress page on the wiki and a final solution page. Groups will use the discussion tool to ask questions and give feed back for other groups work. Students will use the internet to communicate with Hard Bean employees and Art Department faculty.
 * Student Problem: Graphing Inequalities and Systems of Equations**

Partnership between a student group and an outside company, internet access from classroom and students' home, wikispace set up for class use, pre-problem to be solved using Graphing Inequalities and Systems of Equations
 * Materials and Resources:**

Every Spring, Senior art students put on their final exhibition for the year. Last year, the exhibition took place at the Hard Bean Cafe' in South Side Bethlehem. Who benefits more from this relationship between the Art Department and the Hard Bean Cafe'?
 * Problem:**

What are the Hard Bean Cafe's sales and expenses? What are the prices students sell their art work for during the exhibition?