Item: tModelExtendTableGeometric1b

Stimulus:

Weekly attendance figures for a movie shown at a theater are given in the chart below. The theater will start making a profit when weekly attendance goes above 4,500.

Weekly Attendance Figures

Stem:

If this attendance pattern continues, during which week will attendance first go above 4,500?

Options:

1. 5

2. 6

3. 7

4. 8

Key:

• Observable: 1. Score: 1; Evidence Value: 1.
  • Student:Correct, good job!
  • Teacher:The student's response is consistent with an understanding of how to generate successive terms in a geometric sequence.
• Observable: 2. Score: 0; Evidence Value: 0.
  • Student:Sorry, that's incorrect. Although you are correct that the weekly attendance is greater than 4,500 in week 6, this is not the first week in which this occurs.
  • Teacher:The student may have misinterpreted the question, and selected any week for which the attendance is greater than 4,500, rather than the first week for which the attendance is greater than 4,500. It is also possible that the student has an incomplete understanding of how to generate successive terms in a geometric sequence.
• Observable: 3. Score: 0; Evidence Value: 0.
  • Student:Sorry, that's incorrect. Although you are correct that the weekly attendance is greater than 4,500 in week 7, this is not the first week in which this occurs.
  • Teacher:The student may have misinterpreted the question, and selected any week for which the attendance is greater than 4,500, rather than the first week for which the attendance is greater than 4,500. It is also possible that the student has an incomplete understanding of how to generate successive terms in a geometric sequence.
• Observable: 4. Score: 0; Evidence Value: 0.
  • Student:Sorry, that's incorrect. Although you are correct that the weekly attendance is greater than 4,500 in week 8, this is not the first week in which this occurs.
  • Teacher:The student may have misinterpreted the question, and selected any week for which the attendance is greater than 4,500, rather than the first week for which the attendance is greater than 4,500. It is also possible that the student has an incomplete understanding of how to generate successive terms in a geometric sequence.

Metadata: