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Lesson Plan

5. Solve system problems with graphs (A)

teaches Common Core State Standards CCSS.Math.Practice.MP1
teaches Common Core State Standards CCSS.Math.Content.8.EE.C.8a
teaches Common Core State Standards CCSS.Math.Content.8.EE.C.8b
teaches Common Core State Standards CCSS.Math.Content.8.EE.C.8c
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Lesson objective: Apply graphs to solve systems of equations with a real-world context.

This lesson provides an opportunity for students to apply their knowledge and understanding of graphs and systems of equations to a real-life situation. Students are asked to construct a graph to show which hikers meet on a trail given different clues.

Key Concept students will use: 

  • A point of interesection represents a solution to a system of equations.

Skills students will use:

  • Construct a graph of a linear function (Unit 7).
  • Interpret points on the graph representing a real-world situation (Unit 6).
  • Understand a solution to a system as an ordered pair where two conditions are true at the same time.

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they make sense of multiple relationships in a problem and the connection between the relationships. Students will use a graph to represent the relationships and interpret features such as intersection points and parallel lines in the context of a real-world situation.

Key vocabulary: 

  • intersection
  • parallel
  • slope
  • y-intercept

Special materials needed:

  • graph paper or graphing technology
Related content

Appears in

Systems of linear equations

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