Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to a polynomial function, learners realize the ratio does not fit these models. They then use a ratio to establish a rational function to achieve the asymptotic behavior of the graph. As a project-based learning task, they present their findings in an official report.

Concepts

rational functions, graphing rational functions, math modeling, regression analysis, scatter plots

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Additional Tags

math

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Instructional Ideas

• Have individuals research the data for your specific school or region

Classroom Considerations

• Requires both graphing calculators and Excel software
• Expects an understanding of rational functions and their behaviors

Pros

• Provides assignments with specific technology details for concepts used within the project
• Includes a set of videos to help those with limited Excel software experience

Cons

• Only uses data through 2007, making the information outdated and lessens the relevance of the conclusions

Common Core

HSF-IF.B.4 HSF-IF.B.5 HSF-IF.B.6 HSF-IF.C.7.a HSF-IF.C.8.a HSF-IF.C.9