Lesson plan

Calculate and interpret the average rate of change of a trigonometric function by analyzing numerical, graphical, or algebraic data

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.4 http://corestandards.org/Math/Content/HSF/IF/B/4
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.6 http://corestandards.org/Math/Content/HSF/IF/B/6
teaches Common Core State Standards CCSS.Math.Content.HSF-TF.B.5 http://corestandards.org/Math/Content/HSF/TF/B/5
teaches Common Core State Standards CCSS.Math.Content.HSN-Q.A.2 http://corestandards.org/Math/Content/HSN/Q/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Real world phenomena can be modeled analytically through trigonometric functions. (HSF.TF.B.5, HSF.IF.B.6) Students are tasked with analyzing monthly electric bills from the previous year to assist in budget planning. They will focus on finding the rates of change over month-to-month intervals using two methods: by estimation in looking at a graph of data and by calculation in using a table of values. This lesson is grouped with the modeling trigonometric functions tasks, but can be used in other places. It could be placed earlier in the curriculum with prior studies on average rate of change, or it could be placed later as an introduction to precalculus topics on limits and instantaneous rates of change. Vocabulary: average rate of change, interval, slope, secant line Special Materials: No special materials are needed for this lesson.