Access Point #: MAFS.912.A-REI.3.In.7a (Archived Access Point)


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Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically.

Clarifications:

Essential Understandings

Concrete:

  • Manipulate lines on a graph to show no solution (parallel).
  • Manipulate lines on a graph to show one solution (point of intersection).
  • Manipulate lines on a graph to show infinite solutions (the same line).
  • Locate coordinate pairs.
  • Use tools to varify the solution of a non-linear system (graphing calculator, graphing software). Click Here

    One Solution, Two Solution, and No Solution graphs
Representation:
  • Understand the following concepts and vocabulary: linear, non-linear, equation, substitution, system of equations, qualities, solutions, intersection, skew.
  • Understand that substitution allows for solving the equation one variable at a time.
    For example:

    Breakdown of steps solving quadratic and linear equations

    Click Here

Number: MAFS.912.A-REI.3.In.7a Category: Independent
Date Adopted or Revised: 06/14 Cluster: Solve systems of equations. (Algebra 1 - Additional Cluster) (Algebra 2 - Additional 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.3.7: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x² + y² = 3.



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