Ms. Harley Rides to School
Anchor Papers:
Problem Solving
apprentice
Problem Solving Rationale
<p>The student's strategy of using a table to show the total miles Ms. Harley rides to school and the total gas Ms. Harley uses to ride to school works to solve part of the task. The student does not consider that the task requires miles and gas used for 20 round trips. The student's first answer, "1. 11.50 miles," is incorrect. The student's second answer, "2. Yes she is in her budget," is not correct as it is not based on data for 20 round trips.</p>
Reasoning and Proof
apprentice
Reasoning Proof Rationale
<p>The student demonstrates correct reasoning for most of the underlying concepts of the task. The student correctly determines the four distances in miles and total miles Ms. Harley travels to school, the gas to travel four distances, and the total gas Ms. Harley uses. The student correctly determines that Ms. Harley rides her motorcycle to school for 20 days. The student does not show understanding that each trip should be considered a round trip. This results in the total miles and the total cost in gas stated by the student to represent only half of the answer.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>miles, day, total, cents</i> from the task. The student also correctly uses the terms <i>table, most</i>. The student correctly uses the mathematical notation 3.45, 5.48, 1.07, 8.93, 10.00, 11.50, $0.31, $0.49, $0.10, $0.14, $0.90, $1.04, $20.80.</p>
Connections Level
practitioner
Connections RationaleMs. Harley Rides to School
<p>The student makes the mathematically relevant observation, "Lakeland to Centerville is most miles and costs the most gas."</p>
Representation
apprentice
Representation Rationale
<p>The student's table is appropriate to the task but is not accurate. The student omits a decimal point for 1.50 miles. The student also omits a dollar sign for $0.14 and $0.80.</p>