Item: tModelExtendTableGeometric1a
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 4,000.
Weekly Attendance Figures
| Week |
Attendance |
| 1 |
225 |
| 2 |
450 |
| 3 |
900 |
| 4 |
1,800 |
Stem:
If this attendance pattern continues, during which week will attendance
first go above 4,000?
Options:
5
6
7
8
Key:
- Observable: 1.
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that's not right. The attendance for week 5 does not go above 4,000.
-
Teacher:The student may have made an arithmetic error in generating the next term for this geometric sequence, or may have an incomplete understanding of how to generate additional terms in a geometric sequence.
- Observable: 2.
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: 3.
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that's incorrect. Although you are correct that the weekly attendance is greater than 4,000 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 4,000, rather than the first week for which the attendance is greater than 4,000. 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 4,000 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 4,000, rather than the first week for which the attendance is greater than 4,000. It is also possible that the student has an incomplete understanding of how to generate successive terms in a geometric sequence..
Metadata:
Item Node: tModelExtendTableGeometric1a,
Difficulty: 1.
Proficiencies: ModelGeometric,
TableGeometric,
ExtendGeometric.