Pythagorean Theorem Performance Task

Last updated over 5 years ago

5 questions

Introduction: This winter you are attempting to travel from the South Base located at (2,-2) to the North Base located at (-4,10) because the South Base has suffered a power outage due to the recent snow storm. There is not enough food for you and your team to survive much longer in South Base.

Your first job is to plot two possible paths from South Base to North Base. Please create two possible paths on the graph below. Path one should be your team moving North (Up) and West (Left.) Path two should be your team moving diagonal from South Base to North Base.

*Note: In real life, each space you move on the graph is 1000 meters.

According to the graph from part 1, which path is shorter and how do you know that path is shorter? Remember to include your units of measurement.

When you compare path one to path two, how much shorter is the shorter of the two paths? Remember to include your units of measurement.

Part 2: The second part of your journey requires that you consider how much food your team needs in order to make it through the journey ahead. You will plan to take food according to the amount of calories your team will need given a particular rate.

Pythagorean Theorem Performance Task

According to the graph from part 1, which path is shorter and how do you know that path is shorter? Remember to include your units of measurement.

When you compare path one to path two, how much shorter is the shorter of the two paths? Remember to include your units of measurement.

If your team consumes 1,000 calories every 1000 meters you travel, how many calories will you need if you take path 1?

If your team consumes 1,000 calories every 1000 meters you travel, how many calories will your team need if they take path 2?