Lesson plan

Model real-world problems by choosing a scenario-appropriate logarithmic function

teaches Common Core State Standards CCSS.Math.Content.HSN-Q.A.2 http://corestandards.org/Math/Content/HSN/Q/A/2

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Big Ideas: Problems that exist within the real-world, including seemingly random bivariate data, can be modeled by various algebraic functions. This lesson builds on students’ prior work with logarithmic functions. This task focuses on the logarithmic function modeling that is used to determine the magnitude of earthquakes on the Richter Scale. This builds towards students' understanding of how logarithmic functions can be used in regression modeling of real-world bivariate data that comes up later in Algebra 2 and in Advanced Placement and college-level courses. Vocabulary: exponential, logarithmic, model, decibel, Richter Scale, pH Special Materials: Students will need access to a scientific calculator or calculator software like www.Desmos.com.