Lesson plan

8. Write equations that relate two quantities to solve problems (A)

teaches Common Core State Standards CCSS.Math.Content.6.EE.C.9 http://corestandards.org/Math/Content/6/EE/C/9
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
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Lesson objective: Apply the knowledge of how equations, graphs, and tables relate. 

This lesson provides an opportunity for students to apply their knowledge and understanding of equations to a real-life situation. Students are asked to write three equations from measurement conversions and apply those equations to tables and graphs.

Key Concept students will use: 

  • The relationship between two quantities that change together can be shown with an equation using variables to represent the two quantities. Because the value of one quantity depends on the value of the other, these variables are called independent and dependent variables.

Skills students will use:

  • graphing coordinate points (Grade 5, Unit 14)
  • ratio and rate reasoning (Grade 6, Unit 1)
  • writing equations 

Students engage in Mathematical Practice 4 (Model with mathematics) as they write equations with conversion factors and create tables and graphs to show the same relationship.

Key vocabulary: 

  • conversion factor
  • dependent variable
  • equation
  • independent variable
  • variable

Special materials needed:

  • graph paper
  • graphing software (optional)