Herding Cats
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student correctly plots the points given to create a diagram of the fenced area. The student determines the unit lengths of each line segment and converts these to feet by multiplying each value by 30 (feet per unit length). The student correctly determines the cost at $2776.80 by multiplying 3120 feet by $.89 (cost/foot). The student correctly determines that the offer from the fence company should be rejected.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student’s argument is sequenced, logical and easy to follow. The student demonstrates correct reasoning of the underlying concepts of the task. The student determines the length in feet of the fence and then calculates the total cost by multiplying by the unit rate of $.89. Calculations are correct and support the solution given.</p>
Communication Level
practitioner
Communication Rationale
<p>The student uses an organized and sequenced response to communicate work. The student explains each step to the solution process. Work is clear and easy to follow. Appropriate math language is used.</p>
Connections Level
expert
Connections RationaleHerding Cats
<p>The student describes a second way the task can be solved (but does not actually show the calculations). The student also makes a connection between the mathematics in the task and how the strategy for solving the task could be extended to other cases, “when your coding."</p>
Representation
practitioner
Representation Rationale
<p>The student plots the given points to create a diagram of the fenced area on a coordinate grid. The student correctly labels the length of each line segment in feet on the diagram.</p>