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Lesson plan

Compare proportional relationships by analyzing graphs, tables, equations, and verbal descriptions

teaches Common Core State Standards 8.EE.B.5 http://corestandards.org/Math/Content/8/EE/B/5

Compare proportional relationships by analyzing graphs, tables, equations, and verbal descriptions

Big Ideas: An understanding of rate of change enables us to compare proportional relationships presented in different ways (in tables, graphs, equations, and verbal descriptions). The slope of any line in the coordinate plane is a number equivalent to its rate of change. In this lesson, students compare proportional relationships presented in different ways (in terms of rate of change in context). Students come to understand that greater rates of change are indicated by steeper slopes on graphs in the coordinate plane or by greater absolute values for the coefficient of the independent variable based upon equations, tables of values, and descriptions. They also see that multiple representations can be used to demonstrate bivariate proportional situations. Vocabulary: proportional relationship, linear equation, coordinate plane, initial value, rate of change (also slope), table (of values, or input-output table) Special Materials: graph paper rulers calculator