Scary Reunion
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student’s strategy of drawing diagrams to show the shark’s journey, using the Pythagorean Theorem to calculate the sharks’ distance traveled in 5 hours, and the formula for speed effectively solves the task. The student's answer of needing to travel 30 mph to be near shark 1 and to go 34 mph to be near shark 2 is correct. </p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student correctly applies the Pythagorean Theorem to calculate the distance traveled by each shark, “60<sup>2</sup> + 45<sup>2</sup> = c<sup>2</sup>, c = 75 miles” and “36<sup>2</sup> + 77<sup>2</sup> = c<sup>2</sup>, c = 85 miles”. The student recognized that they needed to “double(d) their distance“ to determine the total distance traveled by the boat. The student also correctly uses the formula for finding “speed = distance`-:` time” to correctly find how fast the boat needs to travel in 5 hours.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly identifies the problem, describes the steps to the solution, and states a correct conclusion in the last paragraph. Appropriate formal math language such as <i>Pythagorean Theorem, speed, distance, time, hypotenuse, right triangles, 90<sup>`@`</sup> turns, formula, doubled, mph</i> are used to share and clarify ideas. </p>
Connections Level
practitioner
Connections RationaleScary Reunion
<p>The student notes the regularity that “they swam that distance in 5 hours (9 am - 2 pm), but they actually had 10 hours (9 am - 7 pm) to swim so I doubled their distance.” The student makes an important observation that sharks “wouldn’t make 90<sup>`@`</sup> turns, so I found the hypotenuse, a more realistic path.” The student makes a connection with what they understand in the real world about swimming behavior. </p>
Representation
practitioner
Representation Rationale
<p>The student uses a diagram to show the distances and directions the sharks traveled. The diagrams are labeled correctly and show that the distance traveled by the shark is likely the hypotenuse between 2 points. </p>