Lesson plan

Contrast exponential and linear graphs by modeling paper stacking and paper folding

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.A.3 http://corestandards.org/Math/Content/HSF/IF/A/3
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.4 http://corestandards.org/Math/Content/HSF/IF/B/4
teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.3 http://corestandards.org/Math/Content/HSF/LE/A/3

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Big Ideas: Linear graphs and exponential graphs have characteristic shapes. The features of a function and its graph can be interpreted in the context of the situation that is being modeled. In this task, students will use the data collected from the lesson titled, "Explore Exponential Growth by Folding Paper" to graph the linear and exponential relations they discovered in the lesson titled, "Write Explicit and Recursive Function Rules by Examining the Relationships in Folded and Stacked Paper." Students will graph linear and exponential models and will see how the constant multiplicative growth of exponential functions results in a graph that is different in nature from the graph of a linear relationship, which has constant additive growth. They will identify and relate key features of the graph to the situation they represent. Vocabulary: increasing, linear, nonlinear, exponential, curve, y-intercept, discrete, continuous Special Materials: data collected from the lesson titled "Explore Exponential Growth by Folding Paper" or the sample data