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 $2,776.80 by multiplying 3,120 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 correctly plots points on a coordinate grid, finds the perimeter of the polygon created in unit lengths, and then converts units into feet in the diagram. Calculations for the total cost are present and correct. The student demonstrates an interesting strategy of finding half the total perimeter to enclose and then multiplying by 2 to find the other half of the perimeter. </p>
Communication Level
practitioner
Communication Rationale
<p>The student uses an organized, sequenced, and labeled response to communicate work. The student identifies the task to be solved, explains each step in the solution process, and explicitly states the solution. Units of measure are accurately recorded. The student uses appropriate math language.</p>
Connections Level
practitioner
Connections RationaleHerding Cats
<p>The student explores a mathematical phenomenon within their solution, “since this shape is symmetrical left to right, we can just find half the dimensions and multiply by 2.” This secondary strategy recognizes an interesting pattern in finding perimeter of symmetrical shapes.</p>
Representation
expert
Representation Rationale
<p>The student creates two correct diagrams of the fenced area to help analyze the relationships between the different measurement for the perimeter of units versus feet.</p>