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Mathline

Rhinos and M&M's®
(Exponential Models)

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Objective

The objectives of this lesson are for students to explore the patterns of exponential models in tables, graphs, and symbolic forms and to apply what they have learned to make predictions in a real situation.

Overview of the Lesson

In activities that use paper folding and M&M’s, students will collect data, create scatterplots, and determine algebraic models that represent their functions. Students begin this lesson by collecting data within their groups. They fold a sheet of paper and determine the area of the smallest region after each fold. Next they draw a scatterplot of their data and determine by hand an algebraic model for it. After determining this algebraic model by hand, students collect exponential decay data using M&M’s and use the graphing calculator to determine a model for this data. Both investigations allow students to explore the patterns of exponential models in tables, graphs, and symbolic form. The final activity provides an opportunity for students to apply what they know about exponential models to future populations of African Rhinos.