Tile Border
Problem Solving
apprentice
Problem Solving Rationale
<p>The student’s strategy to use multiplication to find the total number of tiles Mrs. Garcia needs works to solve the task. The student’s answer, “189 tiles,” is correct. The student is not able to solve the second part of the task correctly. The student’s answer, “504 boxes,” is not correct. </p>
Reasoning and Proof
apprentice
Reasoning Proof Rationale
<p>The student demonstrates correct reasoning for the first part of the task by applying a correct multiplication equation. The student does not show correct reasoning for the second part of the task. The student multiplies 63 tiles by 8 tiles instead of dividing the 189 total tiles by 8 tiles per box.</p>
Communication Level
novice
Communication Rationale
<p>The student does not use any mathematical language or notation.</p>
Connections Level
novice
Connections RationaleTile Border
<p>The student does not make a mathematically relevant connection. </p>
Representation
novice
Representation Rationale
<p>The student does not use any mathematical representation in their solution.</p>