# 15. Construct and interpret two-way table of categorical data (A)

teaches Common Core State Standards CCSS.Math.Content.8.SP.A.4 http://corestandards.org/Math/Content/8/SP/A/4
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5

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Lesson objective: Connect a Venn diagram to a two-way table.

This lesson provides an opportunity for students to apply their knowledge and understanding of two-eay tables to a real-life situation. Students are asked to convert a Venn diagram to a two-way table and identify any possible associations between the variables.

Key Concept students will use:

• Examining frequencies in two-way tables and other displays of categorical data gives information about associations.

Skills students will use:

• Identifying information in a Venn diagram (Grade 5, Unit 11)
• Finding percents (Grade 6, Unit 2)
• Identifying possible associations between categorical data (Grade 8, Unit 8)

Students engage in Mathematical Practice 5 (Use appropriate tools strategically) as they convert a Venn diagram to a two-way table and identify possible associations between categorical variables.

Key vocabulary:

• association
• categorical data
• conditional frequency
• percent
• relative frequency
• two-way table
• Venn diagram

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