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Lesson Plan

Calculate marginal and joint probabilities of bivariate categorical data by utilizing a two-way table

teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8
teaches Common Core State Standards CCSS.Math.Content.HSS-ID.B.5 http://corestandards.org/Math/Content/HSS/ID/B/5
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Big Ideas: Two way tables provide a very useful way to organize and analyze bivariate categorical data. Joint probabilities are calculated by taking the raw count of the intersection and dividing by the grand total. Joint probabilities come from the body of a two-way relative frequency table. Marginal probabilities are calculated by taking the subtotals in the margin and dividing by the grand total. Marginal probabilities come from the margins of a two-way relative frequency table. This lesson builds on students’ work in early high school statistics with graphing and analysis of univariate categorical data. The task asks students to take a bag of candy-coated milk chocolate and candy-coated milk chocolates with peanuts and separate each bag by color, being careful to keep milk chocolate and peanut groups separate. Students will then count the number of candies in each color and organize it into a two-way table. Finally, students will be asked to find joint and marginal probabilities. Vocabulary: Univariate Bivariate Categorical Marginal Probability Joint Probability Special Materials: 1 regular serving size bag of candy-coated milk chocolates for each group 1 regular serving size bag of candy-coated chocolates with peanuts for each group OR - 1 bag per group of candy-coated milk chocolate manipulatives cut and assembled in a baggie - 1 bag per group of candy-coated milk chocolates with peanuts manipulatives cut and assembled in a baggie (use standard cut-outs on colored paper to differentiate)
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