1. Homeostasis and the Cell Using Mathematical Modeling Team 28 Memorial High School Julie Carpenter, Mary Hobbs, Jo Ann Strait, and Betsy Wilkes

2. Purpose Enhance student understanding of cellular processes and mathematical principles using Enhance student understanding of cellular processes and mathematical principles using –student acquired data –computational science

3. Objective Investigate the processes of cellular transport: Investigate the processes of cellular transport: –Osmosis –Diffusion Interpret data and investigate functions through the use of graphs, equations and mathematical models. Interpret data and investigate functions through the use of graphs, equations and mathematical models.

4. Module Activities in Biology Web-based research on cell membrane and how it acts as a gate for the movement of materials in and out of the cell. Web-based research on cell membrane and how it acts as a gate for the movement of materials in and out of the cell. Hands-on labs demonstrating diffusion and osmosis using Excel to graph data. Hands-on labs demonstrating diffusion and osmosis using Excel to graph data. Construction of a Stella model using lab data to show the dynamic nature of movement of substances into and out of the cell. Construction of a Stella model using lab data to show the dynamic nature of movement of substances into and out of the cell. Lab group project to construct or modify Stella model to explain what happens to cells as the environment changes, i.e., effect of blood pressure medication or effect of extended physical activity. Lab group project to construct or modify Stella model to explain what happens to cells as the environment changes, i.e., effect of blood pressure medication or effect of extended physical activity.

5. Module Activities in Mathematics Discover the graphs of different functions, using scatterplots of imported data in Excel, TI Interactive, and the graphing calculator. Discover the graphs of different functions, using scatterplots of imported data in Excel, TI Interactive, and the graphing calculator. Explore transformations on the graphs, the resulting effects on the equations, and draw conclusions on how to write the equations through the use of mathematical models. Explore transformations on the graphs, the resulting effects on the equations, and draw conclusions on how to write the equations through the use of mathematical models. Extend knowledge of diffusion and osmosis using groundwater and water purification activities. Extend knowledge of diffusion and osmosis using groundwater and water purification activities. Compare actual biology lab results using various software to determine the best data fit. Compare actual biology lab results using various software to determine the best data fit.

6. Assessment Pre/post tests on material in module Lab reports/graph Project based rubric

7. Requirements Stella Stella Excel Excel Internet Internet Materials for Experiment Materials for Experiment TI interactive TI interactive Graphing calculator Graphing calculator

8. Relevant Courses Biology I Biology I Health Health Algebra I, II Algebra I, II Environmental Science Environmental Science Government and Economics Government and Economics

9. Relevant Grade Levels 9 10 10 11 11