Criteria and Performance Level Rationales
Problem Solving
Practitioner
The student's strategy of using a table to indicate the exact and rounded populations of six towns, applying addition and the correct use of the greater and less than symbols works to solve this task. The student's answers, "Team 3 has more population than Teams 1 and 2," "Team 1 Amy 99,940 < 113,383 Clara," "Team 2 Joel 99,200 > 93,900 Eric," and "Ryan 190,695 > 46,334, Brody, Ryan 190,700 > 46,300 Brody," are correct.
Reasoning Proof
Practitioner
The student demonstrates correct understanding of the first part of the task by applying the concept of rounding to the nearest hundred to the population of six towns. The student uses addition correctly to calculate each team's total rounded population and determines the team with the greatest rounded combined population. The student shows correct reasoning of the second part of the task by comparing the exact and/or rounded town populations for each team and using the greater than and less than symbols correctly in stating the comparisons.
Communication
Practitioner
The student correctly uses the mathematical terms greatest, greater than, less than, symbols, population from the task. The student also correctly uses the terms total, table, more than, most, least, 10,000s place. The student correctly uses the mathematical symbols, < and >.
Connections
Practitioner
The student makes mathematically relevant observations about her/his solution. The student states, "Ryan's town has the most population," "Joel's has the least population," and "Amy Joel Eric and Ryan have a 9 in the 10,000s place."
Representation
Practitioner
The student's use of a table is appropriate to the task and accurate. The student provides all necessary labels and the entered data is correct.