The following 16 Sample Student Responses represent a range of score points.

Score for Sample Student Response #1: Rubric Score 1

Annotation: This response indicates little application of a reasonable strategy. An equation (y = .10x + .75) is given for the line of best fit. Although the student does not specifically state the slope, the meaning of slope (each ounce costs about $.10) is correct. The price of a bottle of juice ($.76) is incorrect, and no explanation is supplied. This response demonstrates a minimal understanding and analysis of the problem.

Score for Sample Student Response #2: Rubric Score 2

Annotation: This response indicates incomplete application of a reasonable strategy. Because the student provides an expression, instead of an equation, the representation is not complete. The slope is correct; however, the meaning of slope is incorrect (for every .6 ounces it costs $.1). The price of a bottle of juice ($1.40) is correct, and the explanation is complete (by plugging in 8 ounces for x, then solving the equation). This response demonstrates a conceptual understanding and analysis of the problem.

Score for Sample Student Response #3: Rubric Score 1

Annotation: This response indicates little application of a reasonable strategy. An appropriate equation (y=.09x + .60) is given for the line of best fit. The answer for slope contains an error; the student includes the variable "x." The meaning of slope is incorrect. The price of a bottle of juice is incorrect, and the attempted explanation shows serious flaws in reasoning. This response demonstrates a minimal understanding and analysis of the problem. Compare to Anchor Paper #1.

Score for Sample Student Response #4: Rubric Score 3

Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. An appropriate equation (y=.1x + .6) is given for the line of best fit. Although the student does not specifically define the variables, this is considered a minor error. The slope and the meaning of slope (for every ounce of orange juice, the price goes up $0.10) are both correct. The price of a bottle of juice ($1.40) is correct. The explanation is logically sound (found this by plugging 8 ounces in for x). This response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #7.

Score for Sample Student Response #5: Rubric Score 2

Annotation: This response indicates incomplete application of a reasonable strategy. An appropriate equation (y = .1x + .6) is provided for the line of best fit. Both the slope and the meaning of slope are incorrect. The price of a bottle of juice ($1.40) is given, and the explanation is clearly presented and supports the solution (substituting 8 for x in the equation and solving). This response demonstrates a conceptual understanding and analysis of the problem.

Score for Sample Student Response #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. An appropriate equation (y=0.1x + 0.6) is given for the line of best fit. The slope and the meaning of slope (how much each extra ounce will cost) are correct. The price of a bottle of juice is correct ($1.40). The explanation is clearly presented (taking my original equation and substituting 8 for x). The definition of the variables (x stood for how many ounces; the price {y}) is given in the response to the last part of the question. This response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #8.

Score for Sample Student Response #7: Rubric Score 1

Annotation: This response indicates little application of a reasonable strategy. No equation is given for the line of best fit. Because the slope (.80/8) would be a correct answer using the first two data points from the table, the student shows some relevant knowledge. The meaning of slope is incorrect, but demonstrates some relevant understanding (how much it increased by the size of the bottle). The price of a bottle of juice is incorrect, and the explanation does not support the solution. This response demonstrates a minimal understanding and analysis of the problem.

Score for Sample Student Response #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. An appropriate equation is given for the line of best fit. The omission of variable definitions is a minor error. The slope and the meaning of slope (how much money you add for each ounce you increase) are correct. The price of a bottle of juice ($1.40) is correct. The explanation is logically sound and supports the solution (entered my equation in the y=part of my calculator; went to the table and scrolled down to where x equaled 8). This response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #7.

Score for Sample Student Response #9: Rubric Score 2

Annotation: This response indicates incomplete application of a reasonable strategy. An appropriate equation (y=.099x + .60) is given for the line of best fit. While the slope is correct, the meaning of slope is incorrect. The price of a bottle of juice ($1.392) is correct, and the explanation, substituting 8 for x in the equation and solving, is clearly presented. This response demonstrates a conceptual understanding and analysis of the problem.

Score for Sample Student Response #10: Rubric Score 3

Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. An appropriate equation (y=.099x + .60) is given for the line of best fit. The slope and the meaning of slope (the cost per ounce in the bottle) are correct. The price of a bottle of juice ($1.40) is correct, and the explanation is logically sound (by plugging in 8 ounces in for x). Some definition of the variables is provided in the statement (x represents the bottle size in ounces); the fact that y is not specifically defined is a minor error. This response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #7.

Score for Sample Student Response #11: Rubric Score 1

Annotation: This response indicates little application of a reasonable strategy. No equation is given for the line of best fit. No slope is provided. The meaning of slope is incomplete; the student does not include how much the cost is rising per ounce. An attempt is made to find a pattern from the given table in order to determine the price of a bottle of juice. Some relevant knowledge is given in the statement (price of the 8 ounce bottle should be 1.39 because you subtract .8 from 2.19; because from 8 oz to 16 oz there are 8 oz; from 16 oz to 24 oz there are 8 oz; the difference in the price is .8; subtract .8). This response demonstrates a minimal understanding and analysis of the problem.

Score for Sample Student Response #12: Rubric Score 3

Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. An appropriate equation (y=.1x + .59) is given for the line of best fit. The omission of variable definitions is a minor error. The slope and the meaning of slope (the price increment is 10 cents per ounce) are both correct. The price of a bottle of juice is correct, and the explanation, substituting 8 for x in the equation, is clearly presented. This response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #7.

Score for Sample Student Response #13: Rubric Score 2

Annotation: This response indicates incomplete application of a reasonable strategy. An appropriate equation (y=.099x + .602) is given for the line of best fit. While the slope is correct, the meaning of slope is incorrect. The price of a bottle of juice ($1.39) is correct, and the explanation is clearly presented (got $1.39 by replacing x with 8). This response demonstrates a conceptual understanding and analysis of the problem.

Score for Sample Student Response #14: Rubric Score 3

Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. An appropriate equation (y=.1x + .60) is given for the line of best fit. Although the variables are not specifically defined, this is a minor error. The slope and the meaning of slope (the amount of money that increases as the bottle size increases an ounce) are both correct. The price for a bottle of juice ($1.40) is correct. The explanation is logically sound and supports the solution (plugged in 8 for x). This response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #7.

Score for Sample Student Response #15: Rubric Score 1

Annotation: This response indicates little application of a reasonable strategy. No equation is given for the line of best fit. No slope is provided. The student supplies some relevant information about the meaning of slope (for every ounce of difference, there is a change of .10 cents) which is used to explain how the student determines an answer ($1.39) for the price of a bottle of juice. This response demonstrates a minimal understanding and analysis of the problem.

Score for Sample Student Response #16: Rubric Score 2

Annotation: This response indicates incomplete application of a reasonable strategy. An appropriate equation (y=.1x + .6) is given for the line of best fit. While the slope is correct, the meaning of slope is incomplete. The student does not indicate that the slope represents the cost per ounce of orange juice. The price of a bottle of juice ($1.40) is correct, and the explanation is clearly presented (by plugging in the 8 for x and solving out the problem). This response demonstrates a conceptual understanding and analysis of the problem. Compare to Anchor Paper #6.

Anchor Papers used in scoring