Access Point #: MAFS.912.A-REI.4.In.12b (Archived Access Point)


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Graph a system of linear inequalities in two variables using at least two coordinate pairs for each inequality.

Clarifications:

Essential Understandings

Concrete:

  • Identify the y-intercept (where the line crosses the y-axis, or x = 0).
  • Graph the linear inequality.
  • Understand that a linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
  • Identify above and below the boundary line.
  • Locate coordinate pairs.
  • Identify or shade the half-plane that is a solution to the inequality.

    Graph with shade over the half-plane that is a solution to the inequality.
  • Graph the second inequality on the same coordinate grid. The overlapping shaded area is the solution to the system.

    •	Graph the second inequality on the same coordinate grid.  The overlapping shaded area is the solution to the system.
Representation:
  • Understand ordered pairs.
  • Understand coordinate planes.
  • Understand <, >, =.
  • Understand the following related vocabulary: boundary line and linear inequality.

Number: MAFS.912.A-REI.4.In.12b Category: Independent
Date Adopted or Revised: 06/14 Cluster: Represent and solve equations and inequalities graphically. (Algebra 1 - Major Cluster) (Algebra 2 - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related 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.



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