Score Level 1 Anchor Paper

This response indicates little attempt to apply a reasonable strategy. No equation for the line of best fit is provided, and no attempt is made to give the slope or the meaning of slope in the context of the problem. A correct answer ("588 calories") for the number of calories burned is given and demonstrates some relevant interaction with the data. However, there is no explanation. This response demonstrates a minimal understanding and analysis of the problem.

Score Level 1 Anchor Paper

This response indicates little attempt to apply a reasonable strategy. An appropriate equation is given for the line of best fit, but the slope, the context for slope, and the answer and explanation for the third bullet are not provided. While a graph of the line of best fit is not required, this student's attempt at graphing has reversed the x and y axes. This response demonstrates a minimal understanding and analysis of the problem.

Score Level 1 Anchor Paper

This response indicates little attempt to apply a reasonable strategy. Although the variables are not defined, a correct equation is given for the line of best fit. No slope or context of slope is provided. The student correctly answers how many calories Mike burned ("588.7"), but gives no explanation. This response demonstrates a minimal understanding and analysis of the problem.

Score Level 2 Anchor Paper

This response indicates an incomplete application of a reasonable strategy. Although the variables are not defined, an appropriate equation is given for the line of best fit. The slope is correct, but the meaning of slope in the context of the problem is incorrect. The student states that the slope "represents the time or length of time Mike jogs (in minutes)." The. correct context for slope is the number of calories burned per minute. A correct answer is provided for the number of calories burned. The student, by substituting 60 for x in the equation, gives a fully developed explanation. This response demonstrates a conceptual understanding and analysis of the problem.

Score Level 2 Anchor Paper

This response indicates an incomplete application of a reasonable strategy. Although the variables are not defined, an appropriate equation is given for the line of best fit. A correct answer is provided not only for the slope, but also for the meaning of slope. ("This slope means that for everyone minute Mike exercises, he loses about 9.81 calories.") While a correct answer ("588.65") is given for the number of calories burned, there is no explanation. This response demonstrates a conceptual understanding and analysis of the problem.

Score Level 2 Anchor Paper

This response indicates an incomplete application of a reasonable strategy. An appropriate equation is given for the line of best fit ("y = 9.8x + 0"). Although the variables are not defined, a correct answer ("9.8") is provided, but the meaning of slope in the context of the problem is missing. A correct answer is given for the number of calories burned ("588"); however, there is no explanation. This response demonstrates a conceptual understanding and analysis of the problem.

Score Level 3 Anchor Paper

This response indicates application of a reasonable strategy that leads to a correct solution. An appropriate equation is given for the line of best fit. The slope and meaning of slope are correct. ("If we jog 10 min. cal. burned 100 cal.") This context for slope is equivalent to Mike burning 10 calories a minute. A correct answer ("600") is provided for how many calories are burned, and the explanation (substitutes 60 for x in the equation) is fully developed. Although a graph is not required, an appropriate graph, with some definition of variables, is drawn for the line of best fit. This response demonstrates a complete understanding and analysis of the problem.

Score Level 3 Anchor Paper

This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. The student defines the variables and gives an appropriate equation for the line of best fit. A correct answer is given for both the slope and the meaning of slope in the context of the problem. ("It means that for every minute jogged, Mike will burn 9.8 calories.") A correct answer for the number of calories burned ("588.048") is provided. The explanation is clearly presented and fully developed (substitutes 60 for x in the equation). This response demonstrates a complete understanding and analysis of the problem.