# 9. Model the relationship between independent and dependent variables using equations (C)

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.MP3 http://corestandards.org/Math/Practice/MP3

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Lesson objective: Understand that we can model the relationship between independent and dependent variables using equations.

Students bring prior knowledge of expressions from 6.EE.B.6. This prior knowledge is extended to independent and dependent variables as students use inverse equations to represent the same relationship. A conceptual challenge students may encounter is understanding the inverse equation represents the same relationship.

The concept is developed through work with equations, which shows how the independent and dependent variables work together.

This work helps students deepen their understanding of operations because to understand the relationship between the independent and dependent variables, students must use multiplication and division.

Students engage in Mathematical Practice 3 (Construct viable arguments and critique the reasoning of others) as they determine if each equation is true to the situation and explain the components of each equation giving reason as to why the equations are true.

Key vocabulary:

• dependent variable
• equation
• independent variable
• inverse
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