Access Point #: MAFS.912.A-REI.4.AP.11a (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 one solution (point of intersection).
  • Manipulate lines on a graph to show infinite solutions (the same line).
  • Locate coordinate pairs.
Representation:
  • Understand ordered pairs.
  • Understand the transitive property.
  • For example: If y = f(x) and y = g(x), then f(x) = g(x)
  • Understand the following vocabulary: substitution, intersection, solution, variables.

Number: MAFS.912.A-REI.4.AP.11a Category: Access Points
Date Adopted or Revised: 07/14 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.4.11: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.



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