Anchor paper 85
Anchor Papers:
Problem Solving
apprentice
Problem Solving Rationale
<p>The student's strategy of making diagrams (area models) to determine if 1/2 of a pie eaten is the same as 4/8 of a pie eaten would work to solve this task, but the student did not compare 1/2 to 4/8. The student's answer, "Brad is correct because it says that Bens mom cut the Pie in to eight equal pieces not 2 equal pieces," is not correct.</p>
Reasoning and Proof
apprentice
Reasoning Proof Rationale
<p>The student shows some correct reasoning. The student correctly diagrams how a pie can be cut into eight equal pieces and two equal pieces. The student does not show correct understanding of comparing the two equivalent fractions. The student incorrectly thinks that since mom cut the pie into eight equal pieces you can only consider eighths of a pie.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical term <i>equal</i> from the task. The student also correctly uses the mathematical notation 1/2, 4/8, 1/8. Mathematical notation of fractions is different from the written form because the student has to determine the correct numerator and denominator.</p>
Connections Level
novice
Connections RationaleAnchor paper 85
<p>The student solves the task and stops without making a mathematical connection.</p>
Representation
practitioner
Representation Rationale
<p>The student's area models are appropriate to the task and are accurate. All necessary labels are included.</p>