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Lesson Plan

Relate a domain's range to its function by examining the context

teaches Common Core State Standards 111.40.6.K
teaches Common Core State Standards 111.40.7.I
teaches Common Core State Standards AI.F.4
teaches Common Core State Standards MAFS.912.F-IF.2.5
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.5
teaches Common Core State Standards CCSS.Math.Practice.MP6
teaches Common Core State Standards CCSS.Math.Practice.MP4
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Big Ideas: Not all domains are permissible for all functions. Graphs visually model relationships between variables. This lesson builds on interpreting functions that model a relationship between two quantities. The task has students using a function that relates the period of rotation to the radius of a rotating spaceship that would create Earth-like conditions on the inside surface of the spaceship. Students will use this function to design their own spaceship and model the situation mathematically with a graph. Students can determine the period of their spaceship either by using the equation or by estimating via their graph. The purpose is to illustrate that the domain of a function is a property of the function and that the range of values depend on the specific context. This builds toward understanding and applying functional relationships with the aim of relating a domain to its graph and quantifying the range. Vocabulary: relationship, function, range, domain, continuous, discrete
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