Going Airborne

Overall Achievement Level:

practitioner

Student Number:

Anchor Papers:

Problem Solving

practitioner

Problem Solving Rationale

The student’s strategy of scaling up the time traveled to one hour and scaling up the distance traveled per hour by each contender works to solve the problem. The student’s answer “The witch will win, because she is going $sf(0.bar6)$ dph, which is faster than the other contestants” is correct.

Reasoning and Proof

practitioner

Reasoning Proof Rationale

The student demonstrates correct understanding of unit rates associated with ratios of fractions. The student converts the time traveled for each character to an hour and then multiplies the distance traveled by the same scale factor. The student then converts the fractions of the distance around the earth traveled into decimal form to compare each contender. The student’s approach is systematic with mathematical justification for each contestant.

Communication Level

practitioner

Communication Rationale

The student’s communication is organized, coherent, and sequenced. The student identifies the problem to be solved, develops a clear approach, and clearly states his/her conclusion. No interpretation is required. The student utilizes formal mathematical language throughout, including distance, per, fastest, dph, ratios, and constant. The work is clear and easy to follow.

Connections Level

practitioner

Connections RationaleGoing Airborne

The student’s connection clarifies the mathematical situation within the task.

Representation

practitioner

Representation Rationale

The student’s graph is appropriate for the task and helps portray the solution to the problem. The student clearly defines which line represents each of the characters. All necessary labels are provided.