Lesson plan

Describe functions algebraically by examining their graphs and tables

teaches Common Core State Standards CCSS.Math.Content.8.F.A.1 http://corestandards.org/Math/Content/8/F/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: - Functions describe a unique relationship between variables where each input has exactly one unique output. - Function tables provide ordered pairs (input,output) that can be graphed and searched for patterns - Graphs of functions provide ordered pairs (domain, range) that can be organized in a table and analyzed for patterns. This lesson builds on students’ prior work evaluating expressions for a given value (6.EE.2) and their understanding that a function describes the relationship between variables (7.RP.2). This task provides students the opportunity to grasp the concept of a function as a rule that assigns to each input exactly one output and where one value determines another. It extends their knowledge of tables and graphs as tools for determining patterns. It builds toward students’ understanding that functions can be compared using rate of change (8.F.2) and constructed to predict values in real-world situations (8.F.4). Vocabulary: function, input, output, domain, range