Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.33

Design and carry out an investigation to determine whether there appears to be an association between two categorical variables, and write a persuasive argument based on the results of the investigation.

COS Examples

Example: Investigate whether there appears to be an association between successfully completing a task in a given length of time and listening to music while attempting the task. Randomly assign some students to listen to music while attempting to complete the task and others to complete the task without listening to music. Discuss whether students should listen to music while studying, based on that analysis.

Unpacked Content

Knowledge

Students know:
  • Techniques for designing and conducting an investigation between categorical variables.
  • Strategies for determining associations between categorical variables.
  • Effective elements of a persuasive argument.

Skills

Students are able to:
  • Design an investigation related to two categorical variables.
  • Carry out their investigation.
  • Determine if an association exists between two categorical variables.
  • Write an argument persuading readers based on the results of the investigation.

Understanding

Students understand that:
  • Knowledge of the statistical investigation process (Appendix E) gives them the tools to make informed decisions.

Vocabulary

  • Categorical variables
  • Association
  • Persuasive argument
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