Scary Reunion
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student’s strategy of plotting the position of each shark on a coordinate grid and using the Pythagorean Theorem to calculate the distance traveled in the first 5 hours works to solve the task. The student's answer of the boat needing to travel 30 mph to catch shark 1 and 34 mph to catch shark 2 is correct.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student shows understanding that the Pythagorean Theorem can be used to calculate the distance each shark traveled, “45<sup>2</sup> + 60<sup>2</sup> = 5,625 = c<sup>2</sup>, c = 75 miles.” The student correctly calculates the speed of each shark, “75 ÷ 5 = 15 mph” and “85 ÷ 5 hrs = 17 mph” and then determines the speed of the boat “which is double the distance at 2 pm.” </p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly identifies the problem to be solved in their opening statement, describes their approach in an organized and coherent response, and states a correct conclusion. Appropriate formal math language such as <i>Pythagorean Theorem, mph, distance, graph, double, constant rate</i> is used to share and clarify ideas. </p>
Connections Level
practitioner
Connections RationaleScary Reunion
<p>The student makes a mathematically relevant connection by exploring the concept of a ”constant rate of 15 mph”. The student uses this connection to determine to double the speed of the boat to catch the shark in 5 hours. </p>
Representation
expert
Representation Rationale
<p>The student’s coordinate grid is appropriate and accurate for determining the location of the shark after 5 hours and after 10 hours. The student uses the coordinate grid to analyze the relationship between the distance traveled in the first 5 hours and in the second five hours. All necessary labels are provided and the entered data is correct.</p>