Scary Reunion

Overall Achievement Level:

apprentice

Student Number:

Anchor Papers:

Problem Solving

apprentice

Problem Solving Rationale

The student makes mistakes in determining how far the sharks traveled. The student correctly uses the Pythagorean Theorem for incorrect values of the distances traveled by each shark. The student correctly uses the formula for speed but arrives at an incorrect answer due to their previous mistake. The student incorrectly states “The boat would have to go 17.1 or 17 mph to be near shark 1 at 7 pm” and “The boat would have to go 19.3 or 19 mph to be near shark 2 at 7 pm.”

Reasoning and Proof

practitioner

Reasoning Proof Rationale

The student demonstrates correct reasoning of the Pythagorean Theorem, “452 + 1652 = c2” and “362 + 1902 = c2”. The student correctly uses the formula for speed, “speed = distance $-:$ time” to provide mathematical justification for the speed of the sharks, “171 $-:$ 10 = 17.1 mph”, and “193 $-:$ 10 = 19.3 mph.”

Communication Level

apprentice

Communication Rationale

The student attempts to construct an organized, sequenced and labeled response but is inconsistent on defining each step of their approach. The student does not explain why they used “60 + 45 = 105” and “36 + 77 = 113” to determine how far each shark traveled in the first five hours.

Connections Level

apprentice

Connections RationaleScary Reunion

The student attempts to make a mathematically relevant connection, “I realized that I need to find the hypotenuse first.” This connection is relevant but does not explore or clarify how this would change their approach or final answer.

Representation

practitioner

Representation Rationale

The student constructs multiple diagrams to help them solve the problem and to portray their thinking. The diagrams appropriately and accurately represent the student’s approach that illustrates where mathematical misconceptions occurred.