MA19.A1.14

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.14

Given a relation defined by an equation in two variables, identify the graph of the relation as the set of all its solutions plotted in the coordinate plane. Note: The graph of a relation often forms a curve (which could be a line).

Unpacked Content

Knowledge

Students know:
  • Appropriate methods to find ordered pairs that satisfy an equation.
  • Techniques to graph the collection of ordered pairs to form a curve.

Skills

Students are able to:
  • Accurately find ordered pairs that satisfy an equation.
  • Accurately graph the ordered pairs and form a curve.

Understanding

Students understand that:
  • An equation in two variables has an infinite number of solutions (ordered pairs that make the equation true), and those solutions can be represented by a curve in the coordinate plane.

Vocabulary

  • Relation
  • Curve (which could be a line)
  • Graphically Finite solutions
  • Infinite solutions

Aligned Learning Resources

How Many Solutions?: Algebra 1, Episode 14: Unit 7, Lesson 5 | Illustrative Math
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