Lesson plan

Determine rate of change and initial value from a table by examining values in the table

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 give insight into the relationship between the variables. In this task, students identify rate of change (slope) and initial value (y-intercept) in real-world linear relationships based on a table of values. They accomplish this by determining rate of change from a table, then using substitution in an algebraic equation to determine the initial value. 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: highlighter (optional)