Lesson plan

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

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.5 http://corestandards.org/Math/Content/HSF/IF/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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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