The Book Shelf
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of diagraming eight books for Ryan and six books for Zak to determine that Ryan puts a greater number of books on the book shelf works to solve the task. The student's answer, "Ryan has greater number books than Zak so it is yes for Ryan," is correct.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student shows understanding of the mathematical concepts of the task. The student correctly shows a set of eight and a set of six. The student compare the two groups to determine that eight is greater than six.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical term <i>greater number</i> from the task. The student also correctly uses the terms <i>diagram</i>, <i>key</i>, <i>rectangle</i>, <i>more</i>, <i>ten frames</i>.</p>
Connections Level
practitioner
Connections RationaleThe Book Shelf
<p>The student makes mathematical observations about their solution. The student observes, "The rectangle is a book." The students uses a new strategy, ten frames, to determine that Ryan has "more books."</p>
Representation
practitioner
Representation Rationale
<p>The student's diagram is appropriate and accurate. A key defines the books and the student correctly labels Ryan's books and Zak's books. The student's ten frames are appropriate and accurate. The student uses the same key for the books and correctly labels Ryan's books and Zak's books.</p>