Scary Reunion

Overall Achievement Level:

apprentice

Student Number:

Anchor Papers:

Problem Solving

apprentice

Problem Solving Rationale

The student’s strategy of using the Pythagorean Theorem works to solve the first part of the task. The student’s answer for the first part of the task is correct, “Shark #2 @ 2 pm = 17 mph” and “Shark #1 @ 2 pm = 15 mph.” The student provides no evidence of their strategy that therefore converting the Shark #1 speed of 15 mph to the boat needing to go 30 mph.

Reasoning and Proof

apprentice

Reasoning Proof Rationale

The student demonstrates correct reasoning for some of the underlying concepts of the task, such as using the Pythagorean Theorem to calculate the distance traveled by each shark at 2 pm, “362 + 772 = 7225, $sqrt 7225$ = 85” and “452 + 602 = 5625, $sqrt 5625$ = 75.” The student does not show correct reasoning for calculating the speed of shark or vessel. The student does not provide mathematical justification for “85 $-:$ 5 = 17 mph”, “75 $-:$ 5 = 15 mph”, and “they’ll have to go 30 miles per hour.”

Communication Level

apprentice

Communication Rationale

The student attempts to make an organized and sequenced response, but it is incomplete. The does not communicate their approach including the use of the Pythagorean Theorem, the formula for speed, or why the boat will have to go 30 mph. The appropriate use of formal math language is minimal including fast, mph, slower, miles per hour.

Connections Level

novice

Connections RationaleScary Reunion

The student’s connection is contextually irrelevant, “Shark One is slower so it will be easier to catch” as it does not explore the concept of the formula for speed.

Representation

apprentice

Representation Rationale

The student attempts to construct a coordinate grid to investigate the location of the shark after 5 hours. The student does not provide any labels for the data provided on the grid or for the units on the x and y coordinates.