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With over 450 virtual, interactive STEM simulations all aligned to the latest standards, Gizmos help educators bring powerful new learning experiences to grade 3-12 classrooms.
Learn More about Gizmos Sign Up for FreeLinear Inequalities in Two Variables
When students learn to graph the solution to an inequality on the Cartesian plane, it can often become a rather mindless exercise in deciding two things: “dashed or solid line” and “shading above or below the line.” Many students can get pretty good...
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Linear Inequalities in Two Variables
When students learn to graph the solution to an inequality on the Cartesian plane, it can often become a rather mindless exercise in deciding two things: “dashed or solid line” and “shading above or below the line.” Many students can get pretty good at this even without fully understanding why.
Fortunately, the Linear Inequalities in Two Variables Gizmo can help. Students can select “Show solution test” to see a draggable point on the graph. As they drag the point around, the Gizmo plugs the (x, y) coordinates into the given inequality to determine if the point is a solution. After testing a variety of points, students will see that the solution is the set of all (x, y) points that make the inequality true! This will help them understand why the shading is where it is, and why the line is either solid (inequality true) or dashed (inequality false).

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"Using Gizmos has had a positive impact on student learning. Gizmos allows them to dig deeper and manipulate variables to lead them to a higher-level depth of knowledge. There were plenty of students who had a ‘light bulb’ moment using a Gizmo!"
- Teacher, Racine Unified School District, WI"Textbooks have come and gone in our district at all grade levels, but what our teachers have been able to rely on for years is the quality of the product ExploreLearning is putting out with Gizmos."
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