# 6. Show the relationship between two quantities as an equation (FP)

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.MP8 http://corestandards.org/Math/Practice/MP8

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Lesson objective: Graph coordinate points from an equation using a table.

This lesson helps to build fluency with graphing coordinate points from an equation. A table is used here because it shows the relationship between the equation and the graph. This work develops students' understanding that 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.

Students engage in Mathematical Practice 8 (look for and express regularity in repeated reasoning) as they determine the same ratio relationship in an equation, table, and graph.

Key vocabulary:

• axes
• coordinate point
• dependent variable
• equation
• horizontal axis
• independent variable
• variable
• vertical axis

Special materials needed:

• graph paper (optional)
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