Activity Set #7: Modeling Variation => Models, Structural Mapping and Analogy

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Think/Pair/Share

•What do you know about the meaning and distribution of SAT scores?
glossary entrees/ words to discuss meaning:
frequency distribution
bar graph
probability
prediction
statistics
normal distribution
bell curve
average, mean*
standard deviation*
parameter*
polulation variation
percentile
percentage
SAT score
standardized test
accuracy*
repeatability*
precision*
bias

Start notebook reference page on: statistics and the normal distribution

Measurement lab and whiteboard discussion

•Measure height/head propotion for everyone in class. Analyze data statistically. Use data from sample to estimate the variation of human proportion in the US adult population. Use the normal distribution as a mathematical model to predict the fraction of the population that would might actually have the "fanstasy figure" proportions of 9:1 or greater that is typically used in fashion design sketches.

glossary entrees/ words to discuss meaning: mathematical model form and parameter
prediction*

Think/Pair/Share

•Determine what math SAT scores would correspond to the same deviation from the average as the 9:1 fanstasy figure in the human population.

glossary entrees/ words to discuss meaning:
analogous
analogy
mapping
correspondance
corresponding structure