Ms. Harley Rides to School
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of using a table to show the distance in miles Ms. Harley rides between locations and the total miles she drives to and from school in one day works to solve the first part of the task. The student computes the number of miles she drives in five days, the number of miles she drives in four weeks, the total amount of money Ms. Harley uses for gas, and compares that total to $50.00 to solve the second part of the task. The student's answers, "23 miles," and "Yes she stayed in her budget," are correct.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student demonstrates correct reasoning of the underlying concepts of the task. The student correctly uses decimal notation to determine the four distances in hundredths and tenths of a mile and the total miles Ms. Harley travels to school in one day, five days and four weeks. The student demonstrates correct reasoning by computing and correctly notating money to determine the cost of gas to travel twenty round trips to school and understanding that a comparison to $50.00 is needed.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>miles, days, weeks, cost</i> from the task. The student also correctly uses the term <i>table</i>. The student correctly uses the mathematical notation 3.45, 5.48, 1.07, 1.50, 11.50, 8.93, 10.00, 23.00, $.09, $41.40, $50.00, $18.60.</p>
Connections Level
apprentice
Connections RationaleMs. Harley Rides to School
<p>The student attempts to find the difference between $50.00 and the cost of the 20 round trips, $41.40, but the student miscalculates and arrives at an incorrect connection. The student's statement, "Mrs. Harley reminds me of my book where a boy runs away on a harley," is not considered a mathematically relevant connection.</p>
Representation
apprentice
Representation Rationale
<p>The student's table is appropriate to the task but is not accurate. The student's fourth column should be labeled "total miles," "running total of miles," or "total miles rode."</p>