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, "Yes," 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 compares the two groups to determine that eight is greater than six.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>diagram</i>, <i>greater than</i>, <i> more</i>, <i>number lines</i>.</p>
Connections Level
practitioner
Connections RationaleThe Book Shelf
<p>The student make mathematical observations about their solution. The student states, "2 more," and "Ryan puts two more books on the shelf than Zak." The student uses a new strategy by indicating on number lines the amount of books each boy has. The student states, "Ryan has more books." The student does not link their number lines to the diagrams for the Expert level.</p>
Representation
practitioner
Representation Rationale
<p>The student's diagram is appropriate and accurate. Ryan and Zak and their books are correctly defined in the scribing. The student's two number lines are appropriate and accurate. Labels are used to define Zak and Ryan and the books.</p>