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Goal 3 Data Analysis And Probability |
Expectation 3.2 The student will apply the basic concepts of statistics and probability to predict possible outcomes of real-world situations. |
Indicator 3.2.2 The student will interpret data and/or make predictions by finding and using a line of best fit and by using a given curve of best fit. |
Assessment Limits:
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Brief Constructed Response (BCR) Item - Released in 2006 |
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Erin used the equation below to model the price (y) of postage stamps, in cents, between 1950 and 1995. In Erin's model, x represents the number of years since 1950. y = 0.014x² + 0.09x + 1.28 The graph below models the price of postage stamps, in cents, between 1950 and 1995.
Complete the following in the Answer Book:
The following 9 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 gives an incorrect answer for when the price of a postage stamp was 29 cents (40 years after 1950) and the explanation is missing. A correct answer of 9 cents is given for the cost of a postage stamp in 1970 but the explanation is missing. 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 gives an answer (After 41 years) for when the price of a postage stamp was 29 cents but does not include that it was 41 years since 1950. The explanation is correct. Both the answer and explanation for the cost of a postage stamp in 1970 are missing. The response demonstrates a minimal understanding and analysis of the problem. |
| Anchor Paper #3 |
Score for Anchor Paper #3: Rubric Score 1 Annotation: This response indicates little attempt to apply a reasonable strategy. The student gives a correct answer for when the price of a postage stamp was 29 cents (42 years after 1950) and the explanation supports this answer. Both the answer and explanation for the cost of a postage stamp in 1970 are missing. The response demonstrates a minimal 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. A correct answer (1992) is given for when the price of a postage stamp was 29 cents and the explanation supports the solution. A correct answer of 9 cents is given for the cost of a stamp in 1970 but the explanation is missing. The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #5 |
Score for Anchor Paper #5: Rubric Score 2 Annotation: This response indicates an incomplete application of a reasonable strategy. Although a correct answer is not given for when the price of a postage stamp was 29 cents, the explanation, substituting 29 for "y" in the equation, would support a correct answer. The answer (8.68) for the cost of a stamp in 1970 should be rounded to 9 cents to be completely correct. The explanation, substituting 20 for "x" in the equation, is correct. The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #6 |
Score for Anchor Paper #6: Rubric Score 2 Annotation: This response indicates an incomplete application of a reasonable strategy. Although an incorrect answer is given for when the price of a postage stamp was 29 cents, the explanation would support a correct answer. A correct answer of 9 cents is given for the cost of a stamp in 1970 and the explanation supports the solution. The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #7 |
Score for Anchor Paper #7: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. A correct answer (1992) is given for when the price of a postage stamp was 29 cents and the explanation supports the solution. A correct answer (9 ¢) is given for the cost of a stamp in 1970 and substituting 20 for "x" in the equation provides a fully developed explanation. The response demonstrates a complete understanding and analysis of the problem. |
| Anchor Paper #8 |
Score for Anchor Paper #8: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. A correct answer (1992) is given for when the price of a postage stamp was 29 cents and the explanation is fully developed. A correct answer (9¢) is given for the cost of a stamp in 1970 and the explanation supports the solution (I followed the graph this time x must = 20 because 1950+20=1970. Following the point is at approx. (20, 9)). The response demonstrates a complete understanding and analysis of the problem. |
| Anchor Paper #9 |
Score for Anchor Paper #9: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. A correct answer (1992) is given for when the price of a postage stamp was 29 cents and the explanation is fully developed. A correct answer (9¢) is given for the cost of a stamp in 1970 and the explanation supports the solution. The response demonstrates a complete understanding and analysis of the problem. |
Additional Resources |
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Brief Constructed Response (BCR) Rubric |
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| Print: Scoring Rubric (pdf) | ||||||
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Resources for 3.2.2: Skill Statements | PUBLIC RELEASE ITEMS | |