Lesson plan

Interpret initial value and rate of change in terms of the situation it models, its graph, or its table of values by analyzing given information

teaches Common Core State Standards CCSS.Math.Content.8.F.B.4 http://corestandards.org/Math/Content/8/F/B/4

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Big Ideas: Graphing, tabulating, and writing equations to represent values in a function gives insight into the relationship between the variables. The fact that the slope is constant between any two points on a line leads to the derivation of an equation for the line. In this lesson, students focus on interpreting real-world meanings of initial value and rate of change for non-proportional linear relationships. In past lessons they should have learned to identify these features from various representations (including graphs, tables, equations, and verbal descriptions). This lesson lays foundation for future understanding of calculating and interpreting average rate of change in nonlinear functions. Vocabulary: graph, equation, initial value, rate of change, coefficient, variable, axes Special Materials: calculators (optional)