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In this activity, students answer questions about three relative frequency tables. For the second table, students should have an understanding of what STEM careers are. STEM careers include careers in the fields of science, technology, engineering, math, and medicine. Ask students, “What are some examples of careers in STEM?” Responses include: doctors, computer scientists, civil engineers, computer scientists, and architects.
The relative frequency tables display data collected from 230 students.
| participates in after school activity | no after school activity | total | |
|---|---|---|---|
| arrives home within 2 hours of school dismissal | 3% | 40% | 43% |
| arrives home 2 or more hours after school dismissal | 42% | 15% | 57% |
| total | 45% | 55% | 100% |
| aspiring professional athlete | aspiring STEM career | total | |
|---|---|---|---|
| prefer physical education | 77% | 23% | 100% |
| prefer math | 18% | 82% | 100% |
| 9th grade | 12th grade | |
|---|---|---|
| curfew | 95% | 90% |
| no curfew | 5% | 10% |
| total | 100% | 100% |
The purpose of the activity is to discuss how students interpreted the tables and how they decided if there is an association. Remind students that a decimal for the number of students is unrealistic, since there cannot be a fraction of a person. It is appropriate for students to round down to the nearest whole number for this reason. Here is a question for class discussion:
None
The purpose of this activity is for students to practice creating pairs of variables that they think are associated. It is not important for students to focus on the type of association they think the variables may have. This prepares students for work in the associated Algebra 1 lesson when they create pairs of variables that are and are not associated, and when they create data to represent each. As students explain why pairs of variables do or do not have an association, they construct viable arguments and critique the reasoning of others (MP3).
Display the following examples of variables that have an association and ones that do not.
Variables with an association:
Variable with no association:
Use Critique, Correct, Clarify to give students an opportunity to improve a sample written response explaining how each pair of variables does or does not have an association, by correcting errors, clarifying meaning, and adding details.
Allow a whole-class discussion about how each pair of variables might be associated, and why it makes sense for some variables to have no association.
The goal is to discuss students' understandings of associations. Here are some questions for discussion: