6.EE.9 - About the Math, Learning Targets, and Increasing Rigor

Grade 5AGL Expressions and Equations

6.EE.9

Full Standard

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

 

Learning Targets (I can)

  • Describe a dependent variable.
  • Describe an independent variable. 
  • Use variables to represent quantities that change in relation to one another.
  • Write an equation to express a dependent variable in terms of an independent variable.
  • Use a function to generalize the relationship between the dependent and independent variables 
  • Graph ordered pairs resulting from a function.
  • Analyze the relationship between the dependent and independent variables using graphs and tables.
  • Make predictions or assumptions about relationships and use graphs and tables to prove or disprove the prediction.

 

About the Math 

Students can use many forms to represent relationships between quantities. Multiple representations include describing the relationship using language, a table, an equation, or a graph. Translating between multiple representations helps students understand that each form represents the same relationship and provides a different perspective on the function. Essential vocabulary for this standard includes: dependent, independent, variables, quantity, ordered pairs, equation, constant speed, distance, and time. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. for vocabulary support.

 

Progression of Standard within Grade 6 (5 AGL)

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Print Resources
Quarter 1 Quarter 2 Quarter 3 Quarter 4
  • Describe a dependent variable.
  • Describe an independent variable. 
  • Use variables to represent quantities that change in relation to one another.
  • Write an equation to express a dependent variable in terms of an independent variable.
  • Use a function to generalize the relationship between the dependent and independent variables 
  • Graph ordered pairs resulting from a function.
  • Analyze the relationship between the dependent and independent variables using graphs and tables.
  • Make predictions or assumptions about relationships and use graphs and tables to prove or disprove the prediction.

 

 

 

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 5 Grade 

Graph two patterns/rules on coordinate plane (5.OA.3)

This concept is not taught after grade 6.  Students are expected to apply the standard proficiently.

 

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