Reviewed and Approved

Solution Sets

Resource ID#: 43582

Primary Type: Problem-Solving Task

This document was generated on CPALMS -

The typical system of equations or inequalities problem gives the system and asks for the graph of the solution. This task turns the problem around. It gives a solution set and asks for the system that corresponds to it. The purpose of this task is to give students a chance to go beyond the typical problem and make the connections between points in the coordinate plane and solutions to inequalities and equations. Students have to focus on what the graph is showing. When you are describing a region, why does the inequality have to go one way or another? When you pick a point that clearly lies in a region, what has to be true about its coordinates so that it satisfies the associated system of inequalities?

General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators , Students , Parents
Suggested Technology: Adobe Acrobat Reader, Microsoft Office
Freely Available: Yes
Keywords: Solution sets, equations, inequalities, cpalms, icpalms,, illustrative mathematics, tasks, mathematics, math, resource, free, freely available, problems-based learning, student activities, Florida Standards
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics

Aligned Standards

Name Description
MAFS.912.A-REI.4.12: Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.