| Public Release Item Scoring Information | Return |
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Goal 3 Data Analysis And Probability |
Expectation 3.1 The student will collect, organize, analyze, and present data. |
Indicator 3.1.1 The student will design and/or conduct an investigation that uses statistical methods to analyze data and communicate results. |
Assessment Limits:
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Brief Constructed Response (BCR) Item - Released in 2008 |
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The president of the student government wants to survey the students in the school about their satisfaction with the 36 after-school activities. There are 1,000 students in the school—200 freshmen, 200 sophomores, 300 juniors, and 300 seniors. The president suggested three different sampling methods. Method A: Randomly choose three students from each of the 36 after-school activities for the survey. Method B: Randomly select 100 students from the honor roll list to survey. Method C: Randomly select 20 freshmen, 20 sophomores, 30 juniors, and 30 seniors for the survey. Complete the following in the Answer Book:
The following 6 Anchor Papers represent a range of score points and are used in conjunction with the rubrics to assess student responses. |
| Anchor Paper #1 |
Score for Anchor Paper #1: Rubric Score 1 Annotation: This response indicates little attempt to apply a reasonable strategy. The student incorrectly chooses Method A as providing the most representative sample. However, the justification for choosing Method A is relevant (its choosing people from each activity) since the student recognizes that all of a population must be represented. The response demonstrates a minimal understanding and analysis of the problem. |
| Anchor Paper #2 |
Score for Anchor Paper #2: Rubric Score 1 Annotation: This response indicates little attempt to apply a reasonable strategy. The student incorrectly chooses Method A as providing the most representative sample. Because the survey described in the item is asking about satisfaction with after-school activities, the student thinks only students in after-school activities should be able to answer the survey. The justification for choosing Method A shows that the student is drawing the sample from the wrong population; that is, students in after-school activities instead of the whole student body. However, this answer still shows some understanding of representative sampling. The justifications for not choosing Methods B and C also focus on the fact that the students selected may not be in after-school activities. The response demonstrates a minimal understanding and analysis of the problem. |
| Anchor Paper #3 |
Score for Anchor Paper #3: Rubric Score 2 Annotation: This response indicates an incomplete application of a reasonable strategy. The student correctly selects Method C as providing the most representative sample but gives no justification. Justification is given for why Method A does not provide the most representative sample (not every student in the school stays for after school activities). Justification is also given for why Method B does not provide the most representative sample (not all students are on the honor roll). The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #4 |
Score for Anchor Paper #4: Rubric Score 2 Annotation: This response indicates an incomplete application of a reasonable strategy. The student correctly selects Method C as providing the most representative sample and gives fully developed justification (you have a number of students from each grade + each number of students from that grade is 1/10 of the grade). No justification is given for why Methods A and B do not provide the most representative sample. The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #5 |
Score for Anchor Paper #5: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. The student correctly selects Method C as providing the most representative sample and gives justification (each class is represented by 1/10 of it’s population). Justification is provided as to why A and B were not chosen (because they bias by selecting only certain groups). The response demonstrates a complete understanding and analysis of the problem. |
| Anchor Paper #6 |
Score for Anchor Paper #6: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. The student correctly selects Method C as providing the most representative sample and gives a justification (you are surveying a lot of students, some from each grade). Complete justification is given for why Method A does not provide the most representative sample (you are only asking kids that are in the after school activity). Fully developed justification is also given for why Method B does not provide the most representative sample (you are only surveying kids on the honor roll, not kids who aren’t). The response demonstrates a complete understanding and analysis of the problem. |
Brief Constructed Response (BCR) Rubric |
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| Print: Scoring Rubric (pdf) | ||||||
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Resources for 3.1.1: Skill Statements | PUBLIC RELEASE ITEMS | Lesson Plans | |