Algebra I
View Activity ArchivesActivity:
The Impossible Task
Posted on Feb 11, 2010
Topic: Linear Systems
Students are given a manufacturing situation and asked to write and graph an inequality to represent it.
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Activity Key Steps:
Students are given a manufacturing situation and asked to write an inequality to represent it. Once they have written the inequality, students examine its solution setting by testing values of the variable on a spreadsheet and viewing its graph.
A second constraint and a second variable are added to the situation. Students graph the second inequality on top of the first and compare the solution set shown by the graph with that found by testing values.
A third constraint is introduced and explored in a similar fashion. First the solution set of the inequality by itself is discussed, and then students are prompted to search for solutions to the system created by all three inequalities taken together.