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Lesson Plan

Determine whether to use an exponential model to represent a relationship by considering multiple data points on a graph

teaches Common Core State Standards CCSS.Math.Content.HSF-BF.A.1a
teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.2

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Big Ideas: We need multiple data points in order to determine which type of model (linear, exponential, or quadratic, for example) most accurately represents a given relationship. Different models grow in different ways, and selecting the wrong model can result in predicted values that are too large or too small. This lesson builds on students' skills writing an explicit formula for an exponential relationship represented as a word-problem, table, or graph. In this task students are given two exponential graphs, one that appears to be linear and another that be considered as a quadratic or other polynomial function. Students will predict what type of function models each graph, and then reason as to whether or not they chose the appropriate mode. The task builds towards students' future work with fitting a model to data in cases that do not represent an exact exponential relationship. Vocabulary: exponential, linear, quadratic Special Materials: Graphing Calculator
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