Sharing Muffins
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of using a diagram to show a group of three friends with 1 1/3 muffins each for a total of four muffins and then adding two more groups of three friends for a total of 12 muffins works to solve the task. The student also includes a second diagram to show counting on from the first diagram for four, eight, and 12 muffins. The student's answer, "The answer is twelve muffins because each person is getting 1 and 1/3 muffins," is correct.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student demonstrates correct understanding of the underlying mathematical concepts of whole, fractional parts of a whole, addition of fractions, and totaling groups of muffins. The student uses one diagram to demonstrate how the first four muffins were determined and then a second diagram to continue a running total of four, eight, and 12 muffins. </p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>diagram, key, patterns</i>. The student correctly uses the mathematical notation 1/3, 1 1/3, 3 3/3.</p>
Connections Level
practitioner
Connections RationaleSharing Muffins
<p>The student makes the mathematically relevant observation, "Patterns—person +1, muffins +1 1/3."</p>
Representation
practitioner
Representation Rationale
<p>The student's two diagrams are appropriate and accurate. The student provides a key to define a muffin, 1/3 of a muffin and a person.</p>