Criteria and Performance Level Rationales
Problem Solving
Practitioner
The student's strategy of using a table to show rounds, points earned by Emma and Jaci, and the inclusion of the greater than and less than sign works to solve part of the task and is correct. The student's statement, "Jaci has rounds 1 and 2 that have the most points Emma has just one round that had the most points. It is round 3." is correct for the next part of the task.
Reasoning Proof
Practitioner
The student demonstrates correct reasoning of the underlying concepts in the task. The student correctly composes numbers and correctly uses the greater than or less than sign to indicate which girl earns the most points per round.
Communication
Practitioner
The student correctly uses the mathematical terms most, less than, more than, equal from the task. The student also correctly uses the terms table, key, total, hundred thousands, ten thousands, thousands, hundreds, tens, ones, place value. The student correctly uses the mathematical notation <, >.
Connections
Practitioner
The student makes the mathematically relevant observation, "Emma's total points—189,241," and, "Jaci’s total points—189,426." The student makes a second table to indicate the place value of the numerals from the total points for Emma and Jaci and states, "Look at the hundreds. This shows Jaci has more points than Emma. Jaci's total points has the biggest place value," The student also computes the difference of Emma and Jaci's total points. The student states, "Jaci has 185 more points than Emma."
Representation
Practitioner
The student's first table is appropriate to the task and accurate. All columns are labeled and the entered data is correct. The student's second table is also appropriate to the task and accurate. The student labels each column and the entered data is correct.