[blank]
ORC Resource Number #117
Expand All
Rhinos and M&M's: Exponential Models
Promising Practice
PROFESSIONAL COMMENTARY

In activities that use paper folding and M&M's, students collect data, create scatterplots, and determine algebraic models that represent their functions. Students begin by collecting data within their groups. They repeatedly fold a sheet of paper in half and count the number of sections after each fold. They draw a scatterplot of their data and determine that the number of sections follows a pattern of exponential growth. With a fresh sheet of paper, they again repeatedly fold it in half, this time recording the area of the smallest region after each fold. This time they find a pattern of exponential decay. Then the students use M&M's and a graphing calculator to determine a model for a third experiment. These 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. The lesson plan includes ideas for assessment, teacher discussion, extensions, additional resources, and a discussion of the mathematical content. This lesson is accompanied by video clips illustrating lesson procedures. The user should first locate the lesson and then access the appropriate video clips. (author/pk).

TECHNOLOGY INTEGRATION
expand +
OHIO STANDARDS
expand +
Mathematics Academic Content Standards
Patterns, Functions and Algebra Standard
Mathematical Processes Standard
NATIONAL STANDARDS
expand +
Principles and Standards for School Mathematics
Algebra Standard
Representation Standard
RESOURCE TYPE
Instructional Resource
PRACTICE LEVEL
Promising Practice
STANDARDS ALIGNMENT
Grades 8–10
TOPICS
Mathematics --
Algebra;
Graphing;
Nonlinear functions;
Representation;
Technology;
FOUND IN
KEYWORDS
exponential decay;
curve of best fit;
graphing calculator;
scatterplot;
exponential growth;
TI-82
Publisher: Public Broadcasting Service