Anchor paper 83
Problem Solving
novice
Problem Solving Rationale
<p>The student's strategy of making a diagram (area model) to show eighths of a pie would work to solve this task but the student does not show equivalent slices of pie. The student's answer, "Brad is correct," is incorrect. </p>
Reasoning and Proof
novice
Reasoning Proof Rationale
<p>The student does not show correct reasoning of the underlying concept of equivalent parts of a whole. Without this understanding, the student cannot solve this task correctly. The student also states, "mom didn't cut it into halfs," which is incorrect reasoning. The student does not understand that the task is requiring the student to compare two fractions.</p>
Communication Level
apprentice
Communication Rationale
<p>The student correctly uses the mathematical term <i>diagram</i>. The student does not earn credit for the term <i>eighths</i>, because the pie is not correctly cut into eight equal pieces. The student also does not earn credit for the term "halfs" because they do not address halves.</p>
Connections Level
novice
Connections RationaleAnchor paper 83
<p>The student solves the task and stops without making a mathematical connection.</p>
Representation
apprentice
Representation Rationale
<p>The student's diagram (area model) is appropriate to the problem but not accurate. The pie is not divided into eight equivalent pieces.</p>