Tile Border
Anchor Papers:
Problem Solving
apprentice
Problem Solving Rationale
<p>The student’s strategy to use multiplication and a table 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 uses division to find the total number of boxes of tiles Mrs. Garcia needs. The student fails to consider the remainder of five tiles which results in an incorrect answer of “23 boxes.”</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 uses division correctly but does not realize that 24 boxes of tile are needed because of the 5 tile remainder when dividing 189 tiles by 8 tiles.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>row</i>, <i>equation</i> from the task. The student also correctly uses the term <i>total</i>.</p>
Connections Level
practitioner
Connections RationaleTile Border
<p>The student makes the mathematically relevant observation, “If she wants 4 rows she needs 189 + 63 = 252 tiles. </p>
Representation
practitioner
Representation Rationale
<p>The student’s table is appropriate and accurate. All labels are included and the data is correct. </p>