Lesson Plan

Determine rate of change and initial value from a graph or an equation by inspection

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 lesson, students identify rate of change (slope) and initial value (y-intercept) from equations and graphs of linear relationships with and without context from the real world. They accomplish this by locating and identifying the initial value from the graph, then by drawing a slope triangle in their chosen location. This set of lessons (which includes writing equations and identifying key features 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 set will facilitate understanding of systems of equations. Vocabulary: slope, rate of change, y-intercept, initial value, independent variable, dependent variable Special Materials: graph paper ruler highlighter (optional)
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