Lesson plan

Construct a function to model a linear relationship by examining verbal descriptions

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: The fact that the slope is constant between any two points on a line leads to the derivation of an equation for the line. Graphing, tabulating, and writing equations to represent values in a function gives insight into the relationship between the variables. In this task, students write an equation to represent a real-world linear relationships based on a verbal description. They create a graph to get a visual understanding of the connection between the words and the equation. This set of lessons (which includes writing equations from graphs, verbal descriptions, and tables of value) should be taught after students have a basic understanding of slope (rate of change) and y-intercept (initial value). Mastery of the ideas in this lesson will facilitate understanding of systems of equations. Vocabulary: slope, rate of change, y-intercept, initial value, equation, independent variable, dependent variable Special Materials: graph paper ruler