Lesson plan

Use a graph to interpret intercepts and relative maximums and minimums of a function

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.4 http://corestandards.org/Math/Content/HSF/IF/B/4

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Big Idea: Key points on a graph (relative maximums, minimums, and intercepts) need to be interpreted in light of the quantities that they represent. This lesson continues the work students have done in 8th grade with interpreting rate of change and the initial value of linear functions in terms of the situation it models (8.F.4) and describing, qualitatively, the functional relationship between two quantities by analyzing a graph (8.F.5). The focus here is on relative maximums and minimums and the vertical intercept. This lesson sets the stage for later work in F.IF.7 as students graph functions expressed symbolically and show key features of the graphs. Vocabulary: relative maximum, relative minimum, intercept