Score Level 1 Anchor Paper

This response indicates little application of a reasonable strategy. While the student provides the correct equations for Sam's total cost (2x+1y=3.75) and Erica's total cost (1x+2y=3.00), the variables are not defined. The student's solutions for the costs of one hamburger and one order of fries are incorrect, an explanation is not provided, and no justification is given. This response demonstrates a minimal understanding and analysis of the problem.

Score Level 1 Anchor Paper

This response indicates little application of a reasonable strategy. The student gives the correct costs of one hamburger ($1.50) and one order of fries ($.75); however, no equations, explanations, or justifications are provided. 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. The student provides the correct equations for Sam's total cost (3.75=2x+1y) and Erica's total cost (3.00=1x+2y) , and the variables are defined. The cost of one hamburger is correct (1.50), as is the cost of one order of fries (.75); however, neither an explanation nor a justification is given. 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. The student gives the correct equations for Sam's total cost (3.75=2h+F) and Erica's total cost (3.00=h+2F), and the variables are defined. The student provides the correct cost of one hamburger ($1.50). The cost of one order of fries also is correct ($.75). The explanation is incomplete ("by guessing the cost for 1 hamburger and 1 order of french fries for the Sams equation and checking to see if it works for the Ericas equation"). Data to support "guess and check" is needed to fully explain how the solution was determined. Rather than providing a justification for the cost of one hamburger and one order of fries, the student totals the costs ("would cost $2.25 because I just added $1.50 and $.75 to get $2.25"). 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 correct solutions. The student gives the correct equations for Sam's total cost (3.75=2x+1y) and Erica's total cost (3.00=1x+2y), and the variables are defined. The costs of one hamburger ($1.50) and one order of fries ($.75) are both correct. The fully developed symbolic explanation supports the solution. A justification of these answers is not provided. This response demonstrates a clear understanding and analysis of the problem.

Score Level 3 Anchor Paper

This response indicates application of a reasonable strategy that leads to correct solutions. The student gives the correct equations for Sam's total cost (3.75=2x+1y) and Erica's total cost (3.00=1x+2y), and the variables are defined. The correct costs of one hamburger ($1.50) and one order of fries ($0.75) are provided; however, an explanation is not given. The solution is fully justified; the student inserts the values for x and y into each equation and simplifies, showing that the found values make each equation true. This response demonstrates a clear understanding and analysis of the problem.

Score Level 4 Anchor Paper

This response indicates application of a reasonable strategy that leads to a correct solution within the context of the problem. The student gives the correct equations for Sam's total cost (3.75=2h+1f) and Erica's total cost (3.00=1h+2f), and the variables are defined. The correct costs of both one hamburger ($1.50) and one order of fries ($.75) are provided. The fully developed symbolic explanation supports the solution. The justification is fully developed and clearly presented. The student inserts the values for f and h into each equation and simplifies, showing that the found values make each equation true. This response demonstrates a complete understanding and analysis of the problem.

Score Level 4 Anchor Paper

This response indicates application of a reasonable strategy that leads to a correct solution within the context of the problem. The student gives the correct equations for Sam's total cost (3.75=2h+1f) and Erica's total cost (3.00=1h+2f), and the variables are defined. The student provides the correct cost of one hamburger ($1.50) and one order of fries ($.75). The fully developed explanation is presented symbolically. The student fully justifies the solutions by inserting the values for f and h into each equation and simplifying. The student then concludes "since the equations are both equal you know that the answer of h=1.50 and f=.75 is correct." This response demonstrates a complete understanding and analysis of the problem.