Access Point #: MAFS.912.A-REI.3.AP.5a (Archived Access Point)


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Create a multiple of a linear equation showing that they are equivalent (e.g., x + y = 6 is equivalent to 2x + 2y = 12).

Clarifications:

Essential Understandings

Concrete:

  • Duplicate original equation and add like terms.
  • Multiply each term by the same number.
  • Identify coefficients and variables in a system of two equations.

    Image of square blocks (2 rows of 8 blocks each)
Representation:
  • Understand the following related vocabulary: variable, coefficient, copy, duplicate, terms.
  • Understand the distributive property.

Number: MAFS.912.A-REI.3.AP.5a Category: Access Points
Date Adopted or Revised: 07/14 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.3.5: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.



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