Criteria and Performance Level Rationales
Problem Solving
Practitioner
The student's strategy of organizing the number of students in the 12-second, 11-second, nine-second, and eight-second range, creating three teams of four students, and calculating the total seconds per team to determine if they are equally matched works to solve the task. The student's answer, "I think the teams are fair because team 1 is only 0.4 seconds faster than teams 2 and 3. Look at my tables to see my three teams," is correct. The student correctly uses the less than, greater than, and equal signs to solve the second part of the task. The student correctly states, "Team 1 time < Team 2 time," "Team 1 time < Team 3 time," "Team 2 = Team 3 time," "41.7 < 42.1 sec. so Team 1 is the fastest."
Reasoning Proof
Practitioner
The student demonstrates understanding that Mr. Fair requires three teams of four students that are as equally matched as possible. The student also shows correct reasoning in her/his use of the less than, greater than, or equal sign.
Communication
Practitioner
The student correctly uses the mathematical terms time(s), seconds (sec), equal from the task. The student also correctly uses the terms tables, fair, total. The student correctly uses the notation 12.2, 10.3, 8.9, 8.7, 9.9, 11.4, 10.5, 9.1, 10.9, 11.1, 11.9, 11.0 from the task. The student also correctly uses the notation 41.7, 42.1, 0.4, 125.9, <, >.
Connections
Practitioner
The student makes the mathematically relevant observations, "Harry is the slowest crab walker," "Amy is the fastest crab walker," "Most crab walk in the 11 seconds," "41.7 sec. + 42.1 sec. + 42.1 sec. = 125.9 total seconds students crab walk," and "The faster you crab walk the less seconds you use."
Representation
Practitioner
The student's three tables are appropriate to the task and accurate. Each table is correctly labeled, all entered data is correct, and includes the seconds unit.