Anchor paper 551

Overall Achievement Level:

practitioner

Student Number:

Anchor Papers:

Problem Solving

expert

Problem Solving Rationale

The student's strategy of diagramming the persons, boats, and fish, and providing an accurate key works to solve the task. The student states a correct answer, "36 fish in all." The student verifies their answer by using a table to compare with the data in their diagram.

Reasoning and Proof

expert

Reasoning Proof Rationale

The student demonstrates understanding of the mathematical concept of applying multiplication patterns to find the total number of fish that can be caught while fishing. The student also applies multiplication and addition in a table to verify their answer. The student brings the understanding of fractions to the task.

Communication Level

practitioner

Communication Rationale

The student correctly uses the mathematical terms total, diagram, key, table, even, odd, half, number sentence, dozen, sum. The student correctly uses the mathematical notation `sf (3/6)`. All of these terms are considered typical to the Grade three Common Core standards and do not earn a performance level of Expert.

Connections Level

expert

Connections RationaleAnchor paper 551

The student makes the mathematically relevant Practitioner connections, "All the fish & people totals are all even," and, "A number sentence is 6 x 2 x 3 = 36. 6 boats x 2 people x 3 fish = 36 fish." The student makes the Expert connection of applying an understanding of fractions to the task. The student states, "`sf (3/6)` or half of the boat numbers are odd," "`sf (3/6)` or half of the boat numbers are even," and "The boat sum is half of the people sum." The student verifies their answer by comparing the data on their diagram with the data on a table and stating, "it is right."

Representation

expert

Representation Rationale

The student's diagram is appropriate and accurate. A key is used to represent the persons, boats, and fish. The student's table is appropriate and accurate. All labels are provided and the the entered data is correct. The student compares the data of their diagram and table to help verify that the answer is correct.