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Exploring Electrical Conductivity in Materials Through Experimental Design

High school statistics project on electrical conductivity, identifying variables, randomization, data collection, scatter plots. Aligns with academic content standards for fitting functions to data, interpreting linear models, correlation, and causation. Explores guiding questions on energy storage, material properties, and conductivity factors. Objectives include measuring current, analyzing experimental outcomes statistically. Applications in engineering, careers, and societal impact highlighted. Student engagement, critical thinking, and concept coverage emphasized.

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Exploring Electrical Conductivity in Materials Through Experimental Design

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  1. COFSPMason High SchoolStatistics Santeri Potticary Materials Engineering

  2. Topics • Experimental Design • Identify the variables and treatments • Randomization • Data collection • Descriptive Statistics • Scatter plots for interpreting data sets

  3. Academic Content Standards • CCSS.MATH.CONTENT.HSS.ID.B.6.A - Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context.  • CCSS.MATH.CONTENT.HSS.ID.B.6.C - Fit a linear function for a scatter plot that suggests a linear association. • CCSS.MATH.CONTENT.HSS.ID.C.7 - Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. • CCSS.MATH.CONTENT.HSS.ID.C.8 - Compute (using technology) and interpret the correlation coefficient of a linear fit. • CCSS.MATH.CONTENT.HSS.ID.C.9 - Distinguish between correlation and causation.

  4. Electrical Conductivity in Materials • Guiding Questions • Why is energy storage important? • What properties are important to energy storage? • How can the type of material affect conductivity? • What properties affect conductivity? • Is cost an issue?

  5. Electrical Conductivity in Materials • Objectives • Measure electrical current in a wire • Identify properties affecting conductivity • Understand and apply components of experimental design • Analyze experimental results statistically.

  6. Applications, Careers, Society • Statistics used to determine material properties from an experiment shows application of math in engineering • Pictures show technology so students understand that classroom concepts can lead to exciting careers in product development • Airplane fires caused buy lithium-ion batteries show societal impact of understanding material properties

  7. Reflections • Students were engaged • Critical thinking was demonstrated • Many concepts were covered • Reasons for performing experiment • Experimental design • Data collection and analysis • Material properties • Applied statistics to a real life situation • Introduced materials engineering and engineering design

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