Sharing Muffins
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of using a diagram to show nine friends with 1 1/3 muffins each and a total of 9 9/3 muffins works to solve the task. The student's answer, "Answer is 9 9/3 muffins because when you add 1/3 9 times you get 9/3 and when you add 1 9 times you get 9 muffins," is correct.</p>
Reasoning and Proof
apprentice
Reasoning Proof Rationale
<p>The student demonstrates correct understanding of whole and fractional parts of a whole to arrive at an answer of 9 9/3 muffins. In this real-world problem-solving situation it would be expected to simplify the mixed number for a total of 12 muffins. The student does not demonstrate this correct reasoning.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical term <i>diagram</i>. The student correctly uses the mathematical notation <i>1/3, 9 9/3, 9/3</i>.</p>
Connections Level
novice
Connections RationaleSharing Muffins
<p>The student solves the task and stops without making a mathematically relevant connection.</p>
Representation
apprentice
Representation Rationale
<p>The student's diagram is appropriate but not accurate. The student does not provide a key or text to label the nine friends. The student's answer provides the muffin label.</p>