Anchor paper 86
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of making a diagram (area model) to determine if 1/2 of a pie eaten is the same as 4/8 of a pie eaten works to solve this task. The student's answer, "They are both correct because 1/2 = 4/8," is correct.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student shows correct reasoning. The student correctly diagrams how a pie can be cut into eight equal pieces and notes how 4/8 equals 1/2.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical term <i>equal</i> from the task. The student correctly uses the mathematical terms <i>diagram</i> and <i>key</i>. The student also correctly uses the mathematical notation 1/2, 4/8. 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 86
<p>The student solves the task and stops without making a mathematical connection.</p>
Representation
practitioner
Representation Rationale
<p>The student's diagram (area model) is appropriate to the task and accurate. A title is provided and a key defines the amount of pie eaten.</p>