Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.19

Create equations in two variables to represent relationships between quantities in context; graph equations on coordinate axes with labels and scales and use them to make predictions. Limit to contexts arising from linear functions. [Algebra I with Probability, 12 partial]

Unpacked Content

Knowledge

Students know:
  • How to construct a linear function that models the relationship between two quantities.
  • Graph linear equations.
  • That the graph of a function is the set of ordered pairs consisting of input and a corresponding output.
  • That the graph of a two-variable equation represents the set of all solutions to the equation.

Skills

Students are able to:
  • Create equations in two variables from tables or verbal descriptions.
  • Graph the relationship between two variable equations. and use graph to recognize key features of the graph.

Understanding

Students understand that:
  • Why their equations were created and how they relate to the given real-world context.
  • Scaling of coordinate axes needs to appropriate to the context given.
  • Graphs can be used to make predictions about possible solutions to a two variable equation or system.

Vocabulary

  • System of equations
  • Scale
  • Linear Function
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