Lesson plan

Make predictions by modeling functions in multiple representations of y = mx + b

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.Content.8.F.A.2 http://corestandards.org/Math/Content/8/F/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Understand functions provide a tool for describing how variables change together. Understand functions can be represented in multiple ways (a graph, a table, an ordered pair, or an algebraic rule) to describe the relationship between two variables. Understand some representations may be more useful than others in certain situations. This task builds on students' prior work with functions as a tool to represent real-world situations. It extends their work with direct variation (7.RP) to include equations in the form y=mx+b (8.EE.7). This task provides the opportunity for students to model functions (with tables, graphs, or equations), evaluate the insight learned from each representation, and make predictions from them. This builds toward later work with linear functions and using linear regression as a means of prediction with bivariate data. (8.SP.3 and S.ID.6) Vocabulary: function, rate of change, independent variable, dependent variable Special Materials: cubes (cm, linking, or any type of stacking blocks)