The Book Shelf
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of gluing eight books for Ryan, six books for Zak, and drawing a line to match books 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>more than</i>, <i>rectangles</i>, <i>line</i>, <i>more</i>, <i>less</i>.</p>
Connections Level
practitioner
Connections RationaleThe Book Shelf
<p>The student makes mathematical observations about their solution. The student defines the paper shapes as "rectangles." The student also states, "This means Ryan has two more books than Zak," and "They put 1, 2, 3 ...14 books on the book shelf."</p>
Representation
practitioner
Representation Rationale
<p>The student's diagram using paper rectangles glued on their paper is appropriate and accurate. Ryan and Zak's books are correctly labeled and the books are defined in the scribing.</p>

