Anchor paper 84
Anchor Papers:
Problem Solving
novice
Problem Solving Rationale
<p>The student's strategy of making diagrams (area models) to show eighths of a pie would work to solve this task, but the student does not label the slices correctly. The student's answer, "Ben and Brad are both right," is not correct because this answer is based on area models that, although two are correctly shaded in halves, have incorrect labels. The student's solution has to support a correct answer. </p>
Reasoning and Proof
novice
Reasoning Proof Rationale
<p>The student does not show correct reasoning of how to “read” equivalent parts of a whole. Without this understanding, the student cannot solve this task correctly. </p>
Communication Level
apprentice
Communication Rationale
<p>The student correctly uses the mathematical terms <i>diagram</i> and <i>key</i>. The student does not earn credit for the term "nineths", because the pie is not correctly labeled or cut into nine equal pieces. The student correctly uses the mathematical notation 1/8. (The student was able to correctly label an eighth in the third diagram).</p>
Connections Level
apprentice
Connections RationaleAnchor paper 84
<p>The student attempts two connections. The first is not correct because the student states, "I did them just like I did these." Since the student's solution for Ben's Apple Pie is incorrect, it cannot be compared to Pizza Pieces. The student attempts to recreate the task by using ninths, but the student's diagram is showing eighths.</p>
Representation
apprentice
Representation Rationale
<p>The student's diagrams (area models) are appropriate to the task but not accurate. The labels in all the diagrams are not accurate, two diagrams do not show 1/2, 4/8 shaded, and the diagram used in the student's connection does not represent ninths accurately.</p>